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Q2. (a) The coefficient of rigidity, n, of a wire, is directly proportional to the length, L and inversely proportional to the fourth power of the diameter, d, of the wire.

Determine the approximate percentage error in the calculated value of n when L and d are both measured too small by 2% and 1% respectively. (8)

(b) S = (5x + 10y)/(x²- 4y² ) × (x²+ xy - 6y²)/(x²+ 6xy + 9y² )

Express S as a single algebraic fraction in its simplest form. (8)