2 No Solution and Mark Scheme Sub Marks Total Marks 1 2 4 3 3 2 3 y xy x x y 3 2 x y 3 2 x y 2 2 4 0 4 3 2 3 2 0 y xy x y y y y 2 2 4 0 3 3 4 0 2 2 y xy x x x x x 2 1 3 0 y y 2 9 0 x x 1 @ 3 2 2@9 y x 2@9 1 @ 3 2 x y 1 1 1 1 1 5 2(a) 2 2 42 3 2 81 27 3 3 8 3 6 6 5 x x x x x x x 1 1 1 7
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
2
No Solution and Mark Scheme Sub
Marks
Total
Marks
1
24 3 3 2 3y xy x x y
3 2x y
3
2
xy
2
2
4 0
4 3 2 3 2 0
y xy x
y y y y
2
2
4 0
3 34 0
2 2
y xy x
x xx x
2 1 3 0y y 2 9 0x x
1@ 3
2
2@9
y
x
2@9
1@ 3
2
x
y
1
1
1
1
1
5
2(a)
2 2
4 2 3 2
81 27
3 3
8 3 6
6
5
x x
x x
x x
x
1
1
1
7
3
(b)
2 2
2 2
2
4
2
32
3
log 16log 1
log 2
log 216
216
64
4
xx
x
x
x
x
x
1
1
1
1
3(a)
2
3
2220500 1.05
200000
T ar
a
a
2
7
(b)
(ii)
1
1
400000
200000 1.05 400000
1.05 2
1 log1.05 log 2
1 14.21
15.21
16
n
n
n
T
n
n
n
n
2008 415
2009 419.5
2010 423.34
2011 427.57
2012 431.85
2013 436.17
2014 440.53
2993.62
7
7
415 1.01
415 1.01 1
1.01 1
2993.62
a r or
S
5
4
4(a)
(b)
2
sin 2sin cos
1 cos 2cos 1
sin 1 2cos
cos 1 2cos
tan
x x x
x x
x x
x x
x
Proven / Terbukti
Bentuk tan x (di graf) P1
Period (di graf) P1
Straight Line (di graf) P1
1x
y
P1
No Of Solution = 2 N1
2
5
7
2
5
5(a)
(b)
2
3
3
3
y x x
y x x
2
2
3 3 0
1 0
1
1, 2
1, 2
dyx
dx
x
x
x y
x y
2
26
1, 6 min
1, 6 max
d yx
dx
dyx imum
dx
dyx imum
dx
Maximum point is 1,2
0.02x
22, 3 2 3 9dy
xdx
9 0.02
0.18
y
y
4
3
7
6(a)
Find the coordinates of B(6,0) or coordinates C( 0,4)
Find midpoint of BC 3,2
Gradient of BC = 2
3 .
Gradient of the line perpendicular to BC = 2
3
2m
The equation of perpendicular bisector to BC is :
3
2 32
3 5
2 2
2 3 5
y x
y x
or
y x
7
7 N1
N1
K1
N1
6
(b)
Area of triangle ABC
2
14 0 6 4 0 2 2 6 0 4 4
2
124 28
2
26
area
unit
No Solution and Mark Scheme Sub
Marks
Total
Marks
7(a)
(b)
(c)
x
1
1.5
2
2.5
3
3.5
log10 y
1.50
1.22
0.93
0.66
0.34
0.10
Graf = Rujuk Lampiran
Plot 10log y against x and correct axes and uniform scales.
6 points plotted correctly N1
Line of best fit N1
* If table not shown but all points are correctly plotted , award N1 mark.