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Academics – Mathematics : 2015/OCT/02
Question

Q2. (a) Solve for x, x > 0, in the following equation: (8)

((x - 2))/((x + 3) )-((x - 3))/((2x - 1) ) = 5/2

(b) For a particular ship, at deadweight displacement, the power of the main engine is given by:

P = v (av2 + b) where v is the speed of the ship in knots, and a and b are positive constants.

The powers are 3456 kW and 7632 kW when the speeds are 9 and 12 knots respectively.

Calculate the power when the speed of the ship is 14 knots. (8)

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