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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