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Academics – Mathematics : 2012/OCT/07
Question

Q7. (a) Given T = 10x + 5 sinx - 3cosx

Determine the value of x (for 0° ≤ x ≤ 360°) such that T has a maximum value. (8)

(b) The displacement s metres of a body from a fixed point is given by the equation:

s = 4t3 - 3t2+ 8t where t is the time in seconds.

Determine EACH of the following:

(i) the times when the velocity of the body is 8 m/s; (6)

(ii) the acceleration after 1 second. (2)

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