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Q7. (a) The drag, D, acting on an aircraft operating under certain conditions, is given by:

D = aV² + b/V²

where V is the airspeed of the aircraft and a and b are positive constants.

Determine the value of V, in terms of a and b, for minimum drag. (8)

(b) Differentiate EACH of the following functions:

(i) y = x² + 2x - 1/x + 1/√x (4)

(ii) v = 10 – t + 5sin t – 3cos t. (4)