Page 179 - ADVANCED MATH F.5

Form Five Form Five

17. Turning points: (0, –1)

18. (a) 0.9316 (b) 0.1745
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19. 1 cm / s 20. 16 cm 21. 1 cm/s
14 28π

2
23. (a) –706.8583cm (b) – 4417.8647cm 3
− sin x cos x 1
24. (a) + (b) − 2
2 cos x+ 3 sin x− x + 1
4 x
−− 3
(c) 2sec2x (d)
3
2x 3 x + 1
1
25. (b) x + x + 3 
3
9 27 4 4
3
5
4
26. (a) 1− x + 2 x (b) 2x − x + x
2 8 3 15
(c) 81 216t+ + 216t 2
− 3x − 2 14x − 27 6 5
27. (a) (b) 3e 3x ( x − ) 4 + ( 61 e+ 3x )( x − ) 4
2
( x − ) 9 2

2
2
− sec x 4sec xe+ x 1 y+− 4lnsin y
(c) (d)
1− (1 tan x+ ) 2 4 cot y − 1 e x 1 y+
x
2 1 y+
28. (a) v = − 5 m/s (b) 4.25 m/s, 5 m/s− 2
a = − 4 m/s 2

z ∂ x z ∂ y
29. (a) x ∂ = − 25 x − 2 y 2 ; y ∂ = − 25 x − 2 y 2
−
−

173
Mathematics for Advanced Secondary Schools

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ADVANCED MATH F.5 TG CHAPTERS.indd 173