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Academics – Mathematics : 2012/OCT/08
Question

Q8. (a) The shading in Fig Q8(a) shows the area enclosed between the functions and the ordinates y1= 8 + 12 sinθ, y2= 5 sin θ and θ = π/2 and θ = 5π/6

Calculate the shaded area. (8)

(b) Given (d2 T)/(dr2 ) = r2-1/r2

dT/dr = 2⅓ when r = 1 and T = 2 when r = 1

Express T as a function of r. (8)

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