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Q3. (a) The deflection, y, at the centre of a rod under constant load, varies directly as the cube of the length, L, and indirectly as the fourth power of the diameter, d, of the rod.

Calculate the percentage change in y if L decreases by 1 % and d increases by 2%.

(b) Make R the subject of the following formula:

f = 1/2π √(1/LC - R²/L²)

(c) Fully factorise the following expression:

9x⁴ - 4x²