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Academics – Mathematics : 2017/JUL/02
Question

Q2. a. The deflection, y, at the centre of a rod under constant load, is directly proportional to the cube of the length, L, and inversely proportional to the fourth power of the diameter, d, of the rod. Calculate the percentage change in y if L increases by 2% and d decreases by 1%. (8)

H = (x2 - 9y2)/(3x + 6y)×(x2 + 4xy + 4y2)/(x2 + 5xy + 6y2 )

Express 1/H as a single algebraic fraction in its simplest form. (8)

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