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Academics – Mathematics : 2012/DEC/07
Question

Q7. (a) In Fig Q7(a) A is a maximum turning point on the curve y = x3 (x - 2)2 which touches the x axis at the origin and at B.

Determine the coordinates of the point A. (12)

(b) The length, L metres, of a certain metal rod at t ℃ is given by:

L = 1 + 10-5t + 4 × 10-7t2

Determine the rate of change of L in mm/℃ when t = 250°. (4)

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