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Scanned by CamScanner U n ó . M hm · >h ó n ó SÄ n C m m , i n a m · W I m n M H C · % I n l > m M k · n N onw ó Ahur o L W ' 4 2 0 16 P > o f s G us t avo e I sm a e l 1 D a d o , uh > l l 1l i m1 l o H I I { ( j , 1 } , B - { 2 , 3 } e G - { 3 , 4 } D e t e]m i nar o con j un t o A X W W 2 D n d o , >u C u m . 0 . 1 , 2 , 3 , F c a '" l a ç o R def i ni da p o r H H > , v k A × A l m y E dcw 1Hhnr a o coH hn H u d ns > hw w M os d e R , E , donMo D m , c a óagem 01nT ) , . d ) ( , g r B l [ i >o dr / B - ) C a l c u l r n f u u q a o i n vt ' m n d n f \ ruq i io f : R- R , y - ! ( ß ) = 3 n - . ) F a z er o b g > Díi co s d p ! C dp J f 1 Sen d o f , g : R 4 IR , J f (u ) 3 2 n z , ' g ( ) = · l + 1 c a l c u l a r as f u u ç M es com p os t a s a f ogXE , b ó o f XE 6 v c > M q ue se s ño p N v s o u f nw>es ns f ungões a f M o 3 Æ , a , b 7 0 w H u ne n r >o z u M n < >c M So a ô n q u Ä i d a d e dp iu T oz ven d i d a , o n1 q u ü o s c i l l c n l e n ) a f un ç i i o r ( ru l t n R ( r ) , b ) a ], c r e i l a o b l i d l l p e l a v e n d a d e 10 q u i l os d e ] o z c ) P i1m u b t p r a rpc ( · i t n d p 21 0 r ( ' n i s , q uan t os q u i l os d e a r r o z d e v e se r v en d i d o ? 8 U s iu 1d o as i nnpr i pd1H l(h d o ]o g n >i t m o ( vc] no q ua d ro ) , s i m p l i :i q ue a e x p ress ã o 1 11( R O )
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Un ó M hm >h ó n ó Ä n m in a m · m C · M k L W 4 P Imtm.ufsc.br/~ismaelr/Matematica I MTM5126/Prova 1 e...7 n0 w Hu re n >o z u M n < Ä>c M So aa ô n qu i da e

Mar 21, 2021

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Page 1: Un ó M hm >h ó n ó Ä n m in a m · m C · M k L W 4 P Imtm.ufsc.br/~ismaelr/Matematica I MTM5126/Prova 1 e...7 n0 w Hu re n >o z u M n < Ä>c M So aa ô n qu i da e

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U n ó . M hm · >h ó n ó SÄ n Cm m , in a

m · W I m n M H C · % I n l > m M k · n

N o n w ó Ahur o L W ' 4 2016 P > o fs G u s t a v o e I s m a e l

1 D a d o , u h > l l 1l i m 1l o H I I {(j,

1} , B - {2

, 3} e G - {3

, 4 } De t e ] m i n a r o c o n j u n t o

A X W W 2 D n do , >u C u m

. 0

. 1

, 2

, 3

, F c a ' " l a ç o R def i ni da p o r

H H >, v k A × A l m y E

d c w 1Hhnr a o c o H hn H u d n s > hw w M o s de R, E , d o n Mo D m , c a óagem

01nT ) , . d ) (, g r Bl [i > o d r / B

- ) Ca l cu l r n f uu q ao i nv t ' mn dn f \ruq i io f : R- R, y - ! (ß) = 3 n - . ) Fa z e r

o b g> Díi c o s d p ! C d p Jf 1

Se n d o f , g : R 4 IR, Jf (u ) 3 2n

z, ' g ( ) = · l + 1 c a l c u l a r a s fu u çMe s

c o m p o s t a s a f ogXE , b ó o f XE

6 v c >M q u e s e s ño pNv s o u f nw>es n s f ungões a f M o 3 Æ, a

, b

7 0 w Hu ne n r >o z u M n < >c M So a ô n q u Ä i da de dp i u T o z v e n d i d a,

o n 1 q u ü o s

c i l l c n le n ) a fu n ç iio r ( r u l t n R (r ) , b ) a ], c r e i l a o b l id l l p e la v e n d a de 10 q u i l o s de ] o z

c ) P i 1m u b t p r a r p c ( · i t n d p 2 10 r ( ' n is, q u a n t o s q u i lo s de a r r o z d e v e s e r v e n d ido ?

8 Us i u 1do a s i nnpri pd1Hl (h do ]o g n >i t m o (v c ] n o qu a d r o ) , s i m p l i :i qu e a ex p r e s s ão

111( RO)

Page 2: Un ó M hm >h ó n ó Ä n m in a m · m C · M k L W 4 P Imtm.ufsc.br/~ismaelr/Matematica I MTM5126/Prova 1 e...7 n0 w Hu re n >o z u M n < Ä>c M So aa ô n qu i da e

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á . <, .

Page 3: Un ó M hm >h ó n ó Ä n m in a m · m C · M k L W 4 P Imtm.ufsc.br/~ismaelr/Matematica I MTM5126/Prova 1 e...7 n0 w Hu re n >o z u M n < Ä>c M So aa ô n qu i da e

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