Page 48 - Spotlight A+ SPM Additional Mathematics Form 4 & 5

SPM Model Paper Additional Mathematics
Section B
(16 marks)
Instruction: Answer any two questions only

13. (a) Given that y = (2x + 5)! 4x – 5 .
dy ax
(i) Show that = such as a is a constant and state the value of a.
dx ! 4x – 5
∫
(ii) Hence, find the value of x dx. [4 marks]
! 4x – 5
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4
(b) Diagram 8 shows a part of curve y = , line x = 1, x = 2 and y = 4.
x 2
y
5
x = 1
4 y = 4

3 Q
2
x = 2
1 4
P y = — 2
x
x
0 1 2 3 4 5
Diagram 8
4
2
(i) Find the area of region P, in unit , bounded by the curve y = , x-axis and line x = 1 and x = 2.
x 2
2
(ii) Find the area, in unit , of region Q that bounded by the curve of y = 4 and lines x = 2 and y = 4.
x 2 SPM MODEL PAPER
[4 marks]
Answer:
(a) (i) (ii)

(b) (i) (ii)

425

Model Paper Spotlight Add Math F5.indd 425 20/04/2021 10:37 AM