Page 59 - Math SL HB Sem 2

3. The following diagram shows the graphs of/(r) = ln (3:-2)+ I and g (x) : - 4 sos (0.5r) + 2,

for I (-r< 10.

1
6 E
5

4
3
2
I

0
I 3 4 5 6 7 t 910
-l
-2

(a) Let I be the area ofthe region enclosed by the curves of/and g.
(D Find an expression forl.

(ii) Calculate the value of l.
(6)
O) (D Find/'(*).

(ii) Find s'(x).
(4)

(c) There are two values of, for which the gradient of/is equal to the gradient ofg. Find
both these values of.x.
(4)
(Total 14 mark)

3