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Q8. (a) A tunnel entrance has a stone walled arch.

Determine, using integral calculus, the area of the stonework represented by the shaded area in the rectangular cross section of the tunnel entrance, shown in Fig Q8(a), given that the unit of length is the meter. (8)

(b) dv/dt = (4t² + 4t - 15)/(2t - 3), and v = 5ms^-1when  t = 1s, Determine v as a function of t.