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Academics – Mathematics : 2016/JUL/03
Question

Q3. (a) The modulus of rigidity, G, is given by:

G = (R4 θ)/L, where R is the radius, θ the angle of twist and L the length.

Calculate the percentage error in G when R is measured 1.5% too small, θ is measured 1% too small, and L is measured 1.6% too large. (8)

(b) Given y = 32, solve the following equation for x, correct to 3 decimal places: (8)

y = 25/3x+x

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