Page 178 - ADVANCED MATH F.5
P. 178
Form Five Form Five
6x
(c) 6x − 5 16x + 3 2 (d) 2
(1 x+ 2 )
8. 40 2 m
FOR ONLINE READING ONLY
9. (a) (2 x e+ ) 2 − x = 4 x− 2 + 1 x + 3
3
1 1 1 1
(b) log y = e ( y − ) 1 − 2 ( y − ) 1 + 2 3 ( y − ) 1 − 3 4 ( y − ) 1 + 4 5 ( y − ) 1 + 5
cos x 1 1 1 49
(c) = 1+ x − x + 2 x + 3 x + 4
−
1 x 2 8 16 384
902
11. (a) 0 12.
1215
13. (a) sin x h+ ( ) sin x= + h cos x − h 2 sin x − h 3 cos x + h 4 sin x +
1! 2! 3! 4!
(b) sin π + h = 1 + 3 h − 1 h − 2 3 h + 3 1 h + 4
6 2 2 4 12 48
π 40 44
(c) tan + h = 3 4h+ + 4 3h + 2 h + 3 h + 4
3 3 3
π 3 4 4 8 4
(d) tan + x = + x + x + 2 x + 3 x + 4
6 3 3 33 9 33
− 2 sin 2x x − cos2x − 9
14. (a) (d)
2x 2 2 5 9x
−
(b) 16x + 4 (e) 4cos4 +θ 2sin 2θ
(c) ( 61 6x− ) − 2
1 1 1
16. (a) ln3, (b) ln3+ x − x 2
3 3 9
172
Mathematics for Advanced Secondary Schools
30/06/2024 18:02:45
ADVANCED MATH F.5 TG CHAPTERS.indd 172
ADVANCED MATH F.5 TG CHAPTERS.indd 172 30/06/2024 18:02:45