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Q2. (a) Under certain conditions the thrust T of a propeller varies jointly as the fourth power of its diameter d and the square of the number of revolutions n per second.

Determine the approximate percentage change in T if d is decreased by 1% and n is increased by 3%. (8)

(b) Solve the following system of equations for A and B in the ranges (8)

0 ≤ A ≤ π/2 and 0 ≤ B ≤ π/2 radians.

4sin A + 5cos B = 1.8

3sin A - 2cos B = 0.4