Page 1
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 1/322
COBPABPS COBPABPS
Cobpabps
9 ]dbpax Z@A 8
9"9 Eizeica ib` Zodssob " " " " " " " " " " " " " " " " " " " " " " " " 89"8 Faip Ayqipdob " " " " " " " " " " " " " " " " " " " " " " " " " " " " 9:9"3 ]i~a Ayqipdob " " " " " " " " " " " " " " " " " " " " " " " " " " " " 8:9"0 Cfixicpaxdspdc Ayqipdob " " " " " " " " " " " " " " " " " " " " " " " 84
9"1 Ciqcft+Lo~iea~sliti " " " " " " " " " " " " " " " " " " " " " " " " 369"> Xaie ibietpdc nqbcpdobs " " " " " " " " " " " " " " " " " " " " " " " 0:9"= Ndxsp Sakaspax xib`ok " " " " " " " " " " " " " " " " " " " " " " " 09
8 Sqkkax Z@A 19
8"9 Sohoea~ Szicas " " " " " " " " " " " " " " " " " " " " " " " " " " " 198"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs " " " " " " " " " " " " " " " " " =>
3 ]dbpax Ibietsds 993
3"9 Hisdc Pozoeomt " " " " " " " " " " " " " " " " " " " " " " " " " " " 9933"8 Cobpdbqdpt " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " 99>
3"3 @dnnaxabpdipdob " " " " " " " " " " " " " " " " " " " " " " " " " " " " 9303"0 Bqkaxdcie sayqabcas ib` saxdas " " " " " " " " " " " " " " " " " 90=3"1 Sayqabcas . saxdas on nqbcpdobs " " " " " " " " " " " " " " " " " 91>3"> Xdakibb dbpamxipdob " " " " " " " " " " " " " " " " " " " " " " " " " 9==
0 Sqkkax Ibietsds 96=
0"9 Kaisqxa pfaoxt " " " " " " " " " " " " " " " " " " " " " " " " " " " 96=0"8 Dbpamxipdob pfaoxt " " " " " " " " " " " " " " " " " " " " " " " " " " 8960"3 @dnnaxabpdihedpt on nqbcpdobs " " " " " " " " " " " " " " " " " " " " " 8>0
1 38:
9 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 2
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 2/322
9 ]DBPAX Z@A
9 ]dbpax Z@A
9"9 Eizeica ib` Zodssob
S:6
}db
???nide
8 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 3
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 3/322
Page 4
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 4/322
9"9 Eizeica ib` Zodssob 9 ]DBPAX Z@A
]:=
}db???
nide
0 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 5
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 5/322
9"9 Eizeica ib` Zodssob 9 ]DBPAX Z@A
]:=
}db???nide
1 I Kdcfiae Xihihaxm Zxo`qcpdob
+dbpamxie xa
+eool ip oxd
+sfoqe` hoqb
Page 6
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 6/322
9"9 Eizeica ib` Zodssob 9 ]DBPAX Z@A
]:0
}db???
nide
> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 7
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 7/322
9"9 Eizeica ib` Zodssob 9 ]DBPAX Z@A
S:0
}db???
nide
= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 8
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 8/322
9"9 Eizeica ib` Zodssob 9 ]DBPAX Z@A
S:1
}db???
nide
6 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 9
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 9/322
Page 10
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 10/322
9"9 Eizeica ib` Zodssob 9 ]DBPAX Z@A
S:1
}db???
nide
4 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 11
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 11/322
9"8 Faip Ayqipdob 9 ]DBPAX Z@A
9"8 Faip Ayqipdob
S:4
}db???
nide
9: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 12
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 12/322
9"8 Faip Ayqipdob 9 ]DBPAX Z@A
S:6
}db???
nide
99 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 13
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 13/322
Page 14
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 14/322
9"8 Faip Ayqipdob 9 ]DBPAX Z@A
]:= S:0
}db???
nide
90 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 15
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 15/322
9"8 Faip Ayqipdob 9 ]DBPAX Z@A
]:>
}db???
nide
91 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 16
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 16/322
Page 17
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 17/322
9"8 Faip Ayqipdob 9 ]DBPAX Z@A
]:0
}db???
nide
9= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 18
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 18/322
9"8 Faip Ayqipdob 9 ]DBPAX Z@A
]:1
}db???
nide
94 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 19
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 19/322
9"3 ]i~a Ayqipdob 9 ]DBPAX Z@A
9"3 ]i~a Ayqipdob
]9:
}db???
nide
8: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 20
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 20/322
9"3 ]i~a Ayqipdob 9 ]DBPAX Z@A
S:=
}db???
nide
89 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 21
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 21/322
9"3 ]i~a Ayqipdob 9 ]DBPAX Z@A
]:>
}db???
nide
88 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 22
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 22/322
Page 23
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 23/322
9"3 ]i~a Ayqipdob 9 ]DBPAX Z@A
]:>
}db???
nide
80 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 24
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 24/322
9"3 ]i~a Ayqipdob 9 ]DBPAX Z@A
]:0
}db???
nide
81 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 25
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 25/322
9"3 ]i~a Ayqipdob 9 ]DBPAX Z@A
S:0
}db???
nide
8> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 26
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 26/322
9"3 ]i~a Ayqipdob 9 ]DBPAX Z@A
]:1
}db???
nide
8= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 27
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 27/322
9"3 ]i~a Ayqipdob 9 ]DBPAX Z@A
S:1
}db???
nide
86 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 28
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 28/322
Page 29
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 29/322
S:8
}db???nide
86 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 30
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 30/322
9"0 Cfixicpaxdspdc Ayqipdob
]9:
}db???
nide
Page 31
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 31/322
9"0 Cfixicpaxdspdc Ayqipdob 9 ]DBPAX Z@A
S:4
}db???
nide
3: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 32
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 32/322
9"0 Cfixicpaxdspdc Ayqipdob 9 ]DBPAX Z@A
]:4
}db???
nide
39 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 33
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 33/322
9"0 Cfixicpaxdspdc Ayqipdob 9 ]DBPAX Z@A
S:6
}db???
nide
38 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 34
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 34/322
9"0 Cfixicpaxdspdc Ayqipdob 9 ]DBPAX Z@A
]:>
}db???
nide
33 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 35
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 35/322
9"0 Cfixicpaxdspdc Ayqipdob 9 ]DBPAX Z@A
]:0
}db???
nide
30 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 36
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 36/322
9"0 Cfixicpaxdspdc Ayqipdob 9 ]DBPAX Z@A
S:0
}db???
nide
31 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 37
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 37/322
9"0 Cfixicpaxdspdc Ayqipdob 9 ]DBPAX Z@A
]:1
}db???
nide
3> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 38
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 38/322
9"0 Cfixicpaxdspdc Ayqipdob 9 ]DBPAX Z@A
S:1
}db???
nide
3= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 39
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 39/322
9"1 Ciqcft+Lo~iea~sliti 9 ]DBPAX Z@A
9"1 Ciqcft+Lo~iea~sliti
]:4
}db???
nide
36 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 40
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 40/322
9"1 Ciqcft+Lo~iea~sliti 9 ]DBPAX Z@A
S:6
}db???
nide
34 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 41
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 41/322
9"> Xaie ibietpdc nqbcpdobs 9 ]DBPAX Z@A
9"> Xaie ibietpdc nqbcpdobs
S:6
}db???
nide
&i$ @aba pfa cobcazp&s$7 pfa `okidb Q ⊈ Xb fis i C− hoqb`ixt/xaie
ibietpdc hoqb`ixt ∈Q "
&h$ Sfo} pfip pfa qbdp `dsl db X8%v8 , t8 ≠ 9% fis i C−+hoqb`ixt/i xaie
ibietpdc+hoqb`ixt"
&c$ Md~a ib avikzea on i cqx~a db pfa zeiba pfip ds C−% hqp bop xaieibietpdc% ip eaisp ip oba zodbp ob pfa cqx~a"
0: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 42
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 42/322
9"= Ndxsp Sakaspax xib`ok 9 ]DBPAX Z@A
9"= Ndxsp Sakaspax xib`ok
S:4
}db???
nide
09 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 43
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 43/322
9"= Ndxsp Sakaspax xib`ok 9 ]DBPAX Z@A
]:4
}db???
nide
08 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 44
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 44/322
9"= Ndxsp Sakaspax xib`ok 9 ]DBPAX Z@A
]:4
}db???
nide
03 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 45
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 45/322
9"= Ndxsp Sakaspax xib`ok 9 ]DBPAX Z@A
]:=
}db???
nide
00 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 46
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 46/322
9"= Ndxsp Sakaspax xib`ok 9 ]DBPAX Z@A
S:3
}db???
nide
01 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 47
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 47/322
9"= Ndxsp Sakaspax xib`ok 9 ]DBPAX Z@A
S:3
}db???
nide
0> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 48
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 48/322
9"= Ndxsp Sakaspax xib`ok 9 ]DBPAX Z@A
S:3
}db???
nide
0= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 49
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 49/322
Page 50
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 50/322
9"= Ndxsp Sakaspax xib`ok 9 ]DBPAX Z@A
S:3
}db???
nide
04 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 51
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 51/322
9"= Ndxsp Sakaspax xib`ok 9 ]DBPAX Z@A
]:1
}db???
nide
1: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 52
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 52/322
8 SQKKAX Z@A
8 Sqkkax Z@A
8"9 Sohoea~ Szicas
Pfds sacpdob cobpidbs cfizpax 1 kipaxdie" @abdpdobs ib` aspdkipas"
19 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 53
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 53/322
8"9 Sohoea~ Szicas 8 SQKKAX Z@A
S:4
}db???
nide
18 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 54
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 54/322
8"9 Sohoea~ Szicas 8 SQKKAX Z@A
S:4
}db???
nide
13 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 55
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 55/322
Page 56
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 56/322
8"9 Sohoea~ Szicas 8 SQKKAX Z@A
S:4
}db???
nide
11 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 57
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 57/322
8"9 Sohoea~ Szicas 8 SQKKAX Z@A
]:4
}db???
nide
1> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 58
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 58/322
8"9 Sohoea~ Szicas 8 SQKKAX Z@A
]:4
}db???
nide
1= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 59
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 59/322
Page 60
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 60/322
8"9 Sohoea~ Szicas 8 SQKKAX Z@A
]:6
}db???
nide
14 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 61
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 61/322
8"9 Sohoea~ Szicas 8 SQKKAX Z@A
]:6
}db???
nide
>: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 62
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 62/322
8"9 Sohoea~ Szicas 8 SQKKAX Z@A
]:=
}db???
nide
>9 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 63
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 63/322
8"9 Sohoea~ Szicas 8 SQKKAX Z@A
]:>
}db???
nide
>8 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 64
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 64/322
8"9 Sohoea~ Szicas 8 SQKKAX Z@A
]9:
}db???
nide
>3 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 65
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 65/322
Page 66
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 66/322
8"9 Sohoea~ Szicas 8 SQKKAX Z@A
S:3
}db???
nide
>1 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 67
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 67/322
8"9 Sohoea~ Szicas 8 SQKKAX Z@A
]:0
}db???
nide
>> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 68
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 68/322
8"9 Sohoea~ Szicas 8 SQKKAX Z@A
]:0
}db???
nide
>= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 69
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 69/322
Page 70
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 70/322
8"9 Sohoea~ Szicas 8 SQKKAX Z@A
S:0
}db???
nide
>4 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 71
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 71/322
8"9 Sohoea~ Szicas 8 SQKKAX Z@A
S:0
}db???
nide
=: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 72
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 72/322
8"9 Sohoea~ Szicas 8 SQKKAX Z@A
S:0
}db???
nide
=9 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 73
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 73/322
8"9 Sohoea~ Szicas 8 SQKKAX Z@A
]:1
}db???
nide
=8 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 74
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 74/322
8"9 Sohoea~ Szicas 8 SQKKAX Z@A
]:1
}db???
nide
=3 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 75
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 75/322
8"9 Sohoea~ Szicas 8 SQKKAX Z@A
S:1
}db???
nide
=0 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 76
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 76/322
8"9 Sohoea~ Szicas 8 SQKKAX Z@A
S:1
}db???
nide
=1 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 77
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 77/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs
Cfizpax > kipaxdie7 avdspibca% xamqeixdpt% kivdkqk zxdbcdzeas"
]9:
}db
???nide
=> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 78
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 78/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
]9:
}db???
nide
== I Kdcfiae Xihihaxm Zxo`qcpdob
Page 79
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 79/322
Page 80
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 80/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
S:4
}db???
nide
=4 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 81
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 81/322
Page 82
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 82/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
S:4
}db???
nide
69 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 83
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 83/322
9"8 Faip Ayqipdob 9 ]DBPAX Z@A
S:6
}db???nide
93 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 84
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 84/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
]:4
}db???
nide
68 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 85
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 85/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
]:4
}db???
nide
63 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 86
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 86/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
S:6
}db???
nide
60 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 87
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 87/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
S:6
}db???
nide
61 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 88
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 88/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
]:6
}db???
nide
6> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 89
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 89/322
Page 90
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 90/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
S:=
}db???
nide
66 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 91
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 91/322
Page 92
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 92/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
S:=
}db???
nide
4: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 93
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 93/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
S:=
}db???
nide
49 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 94
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 94/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
]:=
}db???
nide
48 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 95
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 95/322
Page 96
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 96/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
]:=
}db???
nide
40 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 97
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 97/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
]:=
}db???
nide
41 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 98
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 98/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
]:>
}db???
nide
4> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 99
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 99/322
Page 100
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 100/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
]:>
}db???
nide
46 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 101
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 101/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
]:>
}db???
nide
44 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 102
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 102/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
]9:
}db???
nide
9:: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 103
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 103/322
Page 104
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 104/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
S:3
}db???
nide
9:8 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 105
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 105/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
S:3
}db???
nide
9:3 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 106
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 106/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
]:0
}db???
nide
9:0 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 107
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 107/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
]:0
}db???
nide
9:1 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 108
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 108/322
Page 109
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 109/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
S:0
}db???
nide
9:= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 110
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 110/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
]:1
}db???
nide
9:6 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 111
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 111/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
]:1
}db???
nide
9:4 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 112
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 112/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
S:1
}db???
nide
99: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 113
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 113/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
S:1
}db???
nide
999 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 114
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 114/322
8"8 Sacob` Ox`ax Aeedzpdc Ayqipdobs 8 SQKKAX Z@A
aon
D spozza` ip sqkkax :3" Pfa yqaspdobs saaka` po ha ob xazaip ip pfip
zodbp"
998 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 115
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 115/322
3 ]DBPAX IBIETSDS
3 ]dbpax Ibietsds
3"9 Hisdc Pozoeomt
+ kapxdc szicas% cokzicp saps% cobbacpa` saps
]:9
}db???
nide
993 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 116
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 116/322
3"9 Hisdc Pozoeomt 3 ]DBPAX IBIETSDS
S:9
}db???
nide
990 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 117
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 117/322
3"9 Hisdc Pozoeomt 3 ]DBPAX IBIETSDS
S:>o
}db???
nide
991 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 118
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 118/322
3"8 Cobpdbqdpt 3 ]DBPAX IBIETSDS
3"8 Cobpdbqdpt
+ edkdps on nqbcpdobs% cobpdbqdpt ib` cokzicpbass% Cobpdbqdpt ib` cobbacp+
a`bass% kobopobdc nqbcpdobs
]:9
}db???
nide
99> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 119
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 119/322
3"8 Cobpdbqdpt 3 ]DBPAX IBIETSDS
]40
}db???
nide
99= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 120
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 120/322
3"8 Cobpdbqdpt 3 ]DBPAX IBIETSDS
]::
}db???
nide
996 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 121
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 121/322
3"8 Cobpdbqdpt 3 ]DBPAX IBIETSDS
S ::
}db???
nide
994 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 122
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 122/322
3"8 Cobpdbqdpt 3 ]DBPAX IBIETSDS
]:8
}db???
nide
98: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 123
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 123/322
3"8 Cobpdbqdpt 3 ]DBPAX IBIETSDS
]:3
}db???
nide
989 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 124
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 124/322
3"8 Cobpdbqdpt 3 ]DBPAX IBIETSDS
]:3
}db???
nide
988 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 125
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 125/322
3"8 Cobpdbqdpt 3 ]DBPAX IBIETSDS
S:3
}db???
nide
983 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 126
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 126/322
3"8 Cobpdbqdpt 3 ]DBPAX IBIETSDS
S:3
}db???
nide
980 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 127
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 127/322
3"8 Cobpdbqdpt 3 ]DBPAX IBIETSDS
S:3
}db???
nide
981 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 128
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 128/322
3"8 Cobpdbqdpt 3 ]DBPAX IBIETSDS
]:0
}db???
nide
98> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 129
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 129/322
3"8 Cobpdbqdpt 3 ]DBPAX IBIETSDS
S:0
}db???
nide
98= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 130
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 130/322
3"8 Cobpdbqdpt 3 ]DBPAX IBIETSDS
S:0 ]:=
}db???
nide
986 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 131
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 131/322
3"8 Cobpdbqdpt 3 ]DBPAX IBIETSDS
S:0
}db???
nide
984 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 132
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 132/322
3"8 Cobpdbqdpt 3 ]DBPAX IBIETSDS
]:>
}db???
nide
93: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 133
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 133/322
3"8 Cobpdbqdpt 3 ]DBPAX IBIETSDS
]:=
}db???
nide
939 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 134
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 134/322
3"8 Cobpdbqdpt 3 ]DBPAX IBIETSDS
S:=
}db???
nide
938 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 135
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 135/322
3"8 Cobpdbqdpt 3 ]DBPAX IBIETSDS
S:=o
}db???
nide
933 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 136
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 136/322
3"3 @d axabpdipdob 3 ]DBPAX IBIETSDS
3"3 @d axabpdipdob
+ Kaib ~ieqa pfaoxak% cobpdbqdpt on `axd~ipd~as% E—foszdpie% Piteoxs pfaoxak
]::
}db
???nide
930 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 137
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 137/322
3"3 @d axabpdipdob 3 ]DBPAX IBIETSDS
S :9
}db???
nide
931 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 138
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 138/322
3"3 @d axabpdipdob 3 ]DBPAX IBIETSDS
S:9
}db???
nide
93> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 139
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 139/322
3"3 @d axabpdipdob 3 ]DBPAX IBIETSDS
]:8
}db???
nide
93= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 140
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 140/322
3"3 @d axabpdipdob 3 ]DBPAX IBIETSDS
] :8
}db???
nide
936 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 141
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 141/322
3"3 @d axabpdipdob 3 ]DBPAX IBIETSDS
S:8
}db???
nide
934 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 142
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 142/322
3"3 @d axabpdipdob 3 ]DBPAX IBIETSDS
S:8
}db???
nide
90: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 143
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 143/322
3"3 @d axabpdipdob 3 ]DBPAX IBIETSDS
]:3
}db???
nide
909 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 144
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 144/322
3"3 @d axabpdipdob 3 ]DBPAX IBIETSDS
S:3
}db???
nide
908 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 145
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 145/322
3"3 @d axabpdipdob 3 ]DBPAX IBIETSDS
S:1
}db???
nide
903 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 146
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 146/322
3"3 @d axabpdipdob 3 ]DBPAX IBIETSDS
S:1
}db???
nide
900 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 147
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 147/322
3"3 @d axabpdipdob 3 ]DBPAX IBIETSDS
]:>o
}db???
nide
901 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 148
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 148/322
Page 149
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 149/322
3"0 Bqkaxdcie sayqabcas ib` saxdas 3 ]DBPAX IBIETSDS
3"0 Bqkaxdcie sayqabcas ib` saxdas
]:8
}db???
nide
90= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 150
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 150/322
3"0 Bqkaxdcie sayqabcas ib` saxdas 3 ]DBPAX IBIETSDS
]:8
}db???
nide
906 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 151
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 151/322
3"0 Bqkaxdcie sayqabcas ib` saxdas 3 ]DBPAX IBIETSDS
S:8
}db???
nide
904 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 152
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 152/322
3"0 Bqkaxdcie sayqabcas ib` saxdas 3 ]DBPAX IBIETSDS
S:8
}db???
nide
91: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 153
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 153/322
3"0 Bqkaxdcie sayqabcas ib` saxdas 3 ]DBPAX IBIETSDS
] :3
}db???
nide
919 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 154
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 154/322
3"0 Bqkaxdcie sayqabcas ib` saxdas 3 ]DBPAX IBIETSDS
]:3
}db???
nide
918 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 155
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 155/322
3"0 Bqkaxdcie sayqabcas ib` saxdas 3 ]DBPAX IBIETSDS
]:0
}db???
nide
913 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 156
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 156/322
3"0 Bqkaxdcie sayqabcas ib` saxdas 3 ]DBPAX IBIETSDS
S:1
}db???
nide
910 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 157
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 157/322
Page 158
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 158/322
3"1 Sayqabcas . saxdas on nqbcpdobs 3 ]DBPAX IBIETSDS
3"1 Sayqabcas . saxdas on nqbcpdobs
qbdnoxk cob~axmabca ib` cobpdbqdpt% qbdnoxk cob~axmabca ib` dbpamxipdob%
qbdnoxk cob~axmabca ib` `dnnaxabpdipdob% ayqdcobpdbqoqs nqbcpdobs% Spoba+]adaxspxiß"
S ::
}db???
nide
91> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 159
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 159/322
3"1 Sayqabcas . saxdas on nqbcpdobs 3 ]DBPAX IBIETSDS
]::
}db???
nide
91= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 160
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 160/322
3"1 Sayqabcas . saxdas on nqbcpdobs 3 ]DBPAX IBIETSDS
]::
}db???
nide
916 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 161
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 161/322
3"1 Sayqabcas . saxdas on nqbcpdobs 3 ]DBPAX IBIETSDS
S ::
}db???
nide
914 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 162
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 162/322
3"1 Sayqabcas . saxdas on nqbcpdobs 3 ]DBPAX IBIETSDS
S::
}db???
nide
9>: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 163
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 163/322
3"1 Sayqabcas . saxdas on nqbcpdobs 3 ]DBPAX IBIETSDS
S:9
}db???
nide
9>9 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 164
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 164/322
3"1 Sayqabcas . saxdas on nqbcpdobs 3 ]DBPAX IBIETSDS
S:8
}db???
nide
9>8 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 165
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 165/322
3"1 Sayqabcas . saxdas on nqbcpdobs 3 ]DBPAX IBIETSDS
]:0 oxS:0
}db???
nide
9>3 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 166
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 166/322
3"1 Sayqabcas . saxdas on nqbcpdobs 3 ]DBPAX IBIETSDS
S:0
}db???
nide
9>0 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 167
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 167/322
3"1 Sayqabcas . saxdas on nqbcpdobs 3 ]DBPAX IBIETSDS
S:1
}db???
nide
9>1 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 168
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 168/322
3"1 Sayqabcas . saxdas on nqbcpdobs 3 ]DBPAX IBIETSDS
S:1
}db???
nide
9>> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 169
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 169/322
3"1 Sayqabcas . saxdas on nqbcpdobs 3 ]DBPAX IBIETSDS
]:>
}db???
nide
9>= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 170
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 170/322
3"1 Sayqabcas . saxdas on nqbcpdobs 3 ]DBPAX IBIETSDS
]:>o
}db???
nide
Sqzzosa pfip n b ds i sayqabca on nqbcpdobs ob \:%9[ cob~axmdbm qbd+noxket po i nqbcpdob n " Sfo} pfip pfa nqbcpdob n ds cobpdbqoqs"
9>6 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 171
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 171/322
3"1 Sayqabcas . saxdas on nqbcpdobs 3 ]DBPAX IBIETSDS
S:>
}db???
nide
9>4 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 172
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 172/322
3"1 Sayqabcas . saxdas on nqbcpdobs 3 ]DBPAX IBIETSDS
S:>o
}db???
nide
9=: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 173
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 173/322
3"1 Sayqabcas . saxdas on nqbcpdobs 3 ]DBPAX IBIETSDS
]:=
}db???
nide
9=9 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 174
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 174/322
3"1 Sayqabcas . saxdas on nqbcpdobs 3 ]DBPAX IBIETSDS
S:=o
}db???
nide
9=8 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 175
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 175/322
3"1 Sayqabcas . saxdas on nqbcpdobs 3 ]DBPAX IBIETSDS
]:6
}db???
nide
9=3 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 176
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 176/322
3"1 Sayqabcas . saxdas on nqbcpdobs 3 ]DBPAX IBIETSDS
]:6o
}db???
nide
9=0 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 177
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 177/322
3"1 Sayqabcas . saxdas on nqbcpdobs 3 ]DBPAX IBIETSDS
S:6
}db???
nide
9=1 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 178
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 178/322
3"1 Sayqabcas . saxdas on nqbcpdobs 3 ]DBPAX IBIETSDS
S:6
}db???
nide
9=> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 179
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 179/322
3"> Xdakibb dbpamxipdob 3 ]DBPAX IBIETSDS
3"> Xdakibb dbpamxipdob
S::
}db???
nide
9== I Kdcfiae Xihihaxm Zxo`qcpdob
Page 180
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 180/322
3"> Xdakibb dbpamxipdob 3 ]DBPAX IBIETSDS
S :: S:0
}db???
nide
9=6 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 181
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 181/322
3"> Xdakibb dbpamxipdob 3 ]DBPAX IBIETSDS
S:9
}db???
nide
9=4 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 182
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 182/322
3"> Xdakibb dbpamxipdob 3 ]DBPAX IBIETSDS
S:3
}db???
nide
96: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 183
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 183/322
Page 184
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 184/322
3"> Xdakibb dbpamxipdob 3 ]DBPAX IBIETSDS
S:>
}db???
nide
968 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 185
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 185/322
3"> Xdakibb dbpamxipdob 3 ]DBPAX IBIETSDS
]:=
}db???
nide
963 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 186
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 186/322
3"> Xdakibb dbpamxipdob 3 ]DBPAX IBIETSDS
S:=
}db???
nide
960 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 187
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 187/322
3"> Xdakibb dbpamxipdob 3 ]DBPAX IBIETSDS
]:6
}db???
nide
961 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 188
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 188/322
3"> Xdakibb dbpamxipdob 3 ]DBPAX IBIETSDS
]:6o
}db???
nide
96> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 189
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 189/322
0 SQKKAX IBIETSDS
0 Sqkkax Ibietsds
0"9 Kaisqxa pfaoxt
] ::
}db???
nide
96= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 190
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 190/322
Page 191
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 191/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
] :9
}db???
nide
964 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 192
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 192/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
] :9
}db???
nide
94: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 193
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 193/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
] :9
}db???
nide
949 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 194
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 194/322
Page 195
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 195/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
S :9
}db???
nide
943 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 196
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 196/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
S :9
}db???
nide
940 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 197
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 197/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
S :9
}db???
nide
941 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 198
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 198/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
S :8
}db???
nide
94> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 199
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 199/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
S :8
}db???
nide
94= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 200
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 200/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
S:8
}db???
nide
946 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 201
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 201/322
Page 202
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 202/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
S :8
}db???
nide
8:: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 203
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 203/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
S :8
}db???
nide
8:9 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 204
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 204/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
S :8
}db???
nide
8:8 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 205
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 205/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
S :3
}db???
nide
8:3 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 206
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 206/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
]:0
}db???
nide
8:0 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 207
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 207/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
S:0
}db???
nide
8:1 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 208
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 208/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
S:0
}db???
nide
8:> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 209
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 209/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
]:>
}db???
nide
8:= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 210
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 210/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
]:>
}db???
nide
8:6 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 211
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 211/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
]:>o
}db???
nide
8:4 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 212
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 212/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
]:>o
}db???
nide
89: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 213
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 213/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
S:>
}db???
nide
899 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 214
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 214/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
S:>o
}db???
nide
898 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 215
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 215/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
]:=
}db???
nide
893 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 216
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 216/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
S:=
}db???
nide
890 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 217
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 217/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
S:=o
}db???
nide
891 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 218
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 218/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
S:=o
}db???
nide
89> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 219
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 219/322
0"9 Kaisqxa pfaoxt 0 SQKKAX IBIETSDS
S:6
}db???
nide
89= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 220
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 220/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
0"8 Dbpamxipdob pfaoxt
] ::
}db???
nide
896 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 221
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 221/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
]41
}db???
nide
894 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 222
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 222/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S43
}db???
nide
88: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 223
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 223/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
]43
}db???
nide
889 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 224
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 224/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S40
}db???
nide
888 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 225
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 225/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
]40
}db???
nide
883 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 226
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 226/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S4=
}db???
nide
880 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 227
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 227/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S4=
}db???
nide
881 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 228
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 228/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
]4=
}db???
nide
88> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 229
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 229/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
]4=
}db???
nide
88= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 230
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 230/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S4=
}db???
nide
886 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 231
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 231/322
Page 232
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 232/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S46
}db???
nide
83: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 233
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 233/322
Page 234
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 234/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
] ::
}db???
nide
838 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 235
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 235/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
]4=
}db???
nide
833 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 236
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 236/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S ::
}db???
nide
830 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 237
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 237/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S ::
}db???
nide
831 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 238
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 238/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S ::
}db???
nide
83> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 239
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 239/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
]:9
}db???
nide
83= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 240
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 240/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S :9
}db???
nide
836 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 241
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 241/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S:1 ]:=
}db???
nide
834 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 242
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 242/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S :9
}db???
nide
80: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 243
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 243/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S :8
}db???
nide
809 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 244
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 244/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S:3
}db???
nide
808 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 245
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 245/322
Page 246
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 246/322
Page 247
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 247/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
]44
}db???
nide
801 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 248
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 248/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
]:0
}db???
nide
80> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 249
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 249/322
Page 250
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 250/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
]:0
}db???
nide
806 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 251
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 251/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S:0
}db???
nide
804 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 252
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 252/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S:0
}db???
nide
81: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 253
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 253/322
Page 254
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 254/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S:1o
}db???
nide
818 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 255
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 255/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S:>
}db???
nide
813 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 256
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 256/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S:>o
}db???
nide
810 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 257
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 257/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
]:=o
}db???
nide
811 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 258
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 258/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
]:=o
}db???
nide
81> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 259
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 259/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S:=
}db???
nide
81= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 260
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 260/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
]:6
}db???
nide
816 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 261
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 261/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
]:6o
}db???
nide
814 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 262
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 262/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
]:6o
}db???
nide
8>: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 263
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 263/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S:6
}db???
nide
8>9 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 264
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 264/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S:6o
}db???
nide
8>8 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 265
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 265/322
0"8 Dbpamxipdob pfaoxt 0 SQKKAX IBIETSDS
S:6o
}db???
nide
8>3 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 266
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 266/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
0"3 @d axabpdihedpt on nqbcpdobs
] :8
}db???
nide
8>0 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 267
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 267/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
S :8
}db???
nide
8>1 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 268
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 268/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]:0
}db???
nide
8>> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 269
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 269/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
S:1o
}db???
nide
8>= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 270
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 270/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]:6
}db???
nide
8>6 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 271
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 271/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99
}db???
nide
8>4 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 272
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 272/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99
}db???
nide
8=: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 273
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 273/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99
}db???
nide
8=9 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 274
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 274/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99
}db???
nide
8=8 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 275
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 275/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99
}db???
nide
8=3 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 276
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 276/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]44
}db???
nide
8=0 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 277
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 277/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]44
}db???
nide
8=1 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 278
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 278/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]44
}db???
nide
8=> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 279
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 279/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]44
}db???
nide
8== I Kdcfiae Xihihaxm Zxo`qcpdob
Page 280
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 280/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99
}db???
nide
8=6 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 281
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 281/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99
}db???
nide
8=4 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 282
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 282/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99o
}db???
nide
86: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 283
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 283/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99o
}db???
nide
869 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 284
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 284/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99
}db???
nide
868 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 285
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 285/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99
}db???
nide
863 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 286
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 286/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99o
}db???
nide
860 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 287
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 287/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99
}db???
nide
861 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 288
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 288/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99
}db???
nide
"
86> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 289
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 289/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99o
}db???
nide
86= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 290
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 290/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99o
}db???
nide
866 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 291
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 291/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99
}db???
nide
864 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 292
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 292/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99
}db???
nide
84: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 293
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 293/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99o
}db???
nide
849 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 294
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 294/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99o
}db???
nide
848 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 295
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 295/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99
}db???
nide
843 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 296
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 296/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99
}db???
nide
840 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 297
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 297/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99o
}db???
nide
841 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 298
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 298/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99o
}db???
nide
84> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 299
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 299/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99
}db???
nide
84= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 300
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 300/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99
}db???
nide
846 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 301
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 301/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99o
}db???
nide
844 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 302
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 302/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]9o
}db???
nide
3:: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 303
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 303/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99
}db???
nide
3:9 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 304
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 304/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99
}db???
nide
3:8 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 305
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 305/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99o
}db???
nide
3:3 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 306
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 306/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99o
}db???
nide
3:0 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 307
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 307/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99
}db???
nide
3:1 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 308
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 308/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99
}db???
nide
3:> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 309
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 309/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99o
}db???
nide
3:= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 310
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 310/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]99o
}db???
nide
3:6 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 311
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 311/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
S43
}db???
nide
3:4 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 312
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 312/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
S43
}db???
nide
39: I Kdcfiae Xihihaxm Zxo`qcpdob
Page 313
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 313/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
S43
}db???
nide
399 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 314
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 314/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]43
}db???
nide
398 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 315
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 315/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]43
}db???
nide
393 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 316
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 316/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
S43
}db???
nide
390 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 317
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 317/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]41
}db???
nide
391 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 318
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 318/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]41
}db???
nide
39> I Kdcfiae Xihihaxm Zxo`qcpdob
Page 319
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 319/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]4=
}db???
nide
39= I Kdcfiae Xihihaxm Zxo`qcpdob
Page 320
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 320/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
]4=
}db???
nide
396 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 321
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 321/322
0"3 @d axabpdihedpt on nqbcpdobs 0 SQKKAX IBIETSDS
S46
}db???
nide
394 I Kdcfiae Xihihaxm Zxo`qcpdob
Page 322
8/2/2019 Mathematics Comprehensive Exams University of Kentucky
http://slidepdf.com/reader/full/mathematics-comprehensive-exams-university-of-kentucky 322/322