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Academics – Mathematics : 2011/JUL/02
Question

Q2. (a) Determine the value of y that satisfies the following equation: (8)

(2-y)/15 + y/3 = (4y + 5)/7 + (5 + y)/6

(b) The shear stress τ in a shaft of diameter D under a torque T is given by:

τ = kT/(πD3 )

Determine the approximate percentage error in calculating τ if T is measured 2% too small and D is measured 1.75% too large. (8)

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