Page 32 - Math SL HB Sem 2

Al Letfrx)=_1 l*r*4.
4

(a) (D Write down/'(.;r).

(i0 Find the equation ofthe normal to the curve of/at (2, 3).

(iii) This normal intersects the curve offat(2,3) and at one other point P.
Find the x-coordinate of P.
(e)

Part ofthe graph of/is given below.
v

J
z

I
-t0 t2 I
1

-4

(b) lrt R be the region under the curve of/from.r: -l to r = 2.

(D Write down an expression for the area of R.

(iD Calculate this area.
(iii) The region R is revolved tfuough 360" about the.r-axis. Write down an expression
for the volume of the solid formed.
(6)

(c) Find / (r) &, giving your answer in terms of t
J*
(6)
(Total 2l marks)

2