Page 35 - Math SL HB Sem 2

5. The diagram shows part ofthe graph ofthe curve with equation

/=elcosr.

v

P(a, b)

0 x

(a) Show that = *r r- rln r).
* "t(z
(2\

d'I
(b) rina .
dx'
(4)

There is an inflexion point at P (a, 6).

(c) Use the results from parts (a) and (b) to prove that:

(D
'uno= f;;
(3)

(iD the gradient ofthe curve at P is e&.
(s)
(fotal 14 marks)

5