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Question#2[4+6=10 marks] (a) The table below gives the values of distance travelled by a car at various time intervals during the initial running. Time, t(s)

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Question#2[4+6=10 marks] (a) The table below gives the values of distance travelled by a car at various time intervals during the initial running. Time, t(s) 5 6 7 9 Distance Travelled, s(t) 10.0 14.5 19.5 25.5 32.0 (km) Estimate the velocity at time t = 5s, t = 7s and t = 9s. Also find the acceleration at t = 7s (b) From the Taylor's series for y(x), find y(0.1) correct to four decimal places if y(x satisfies y' = x - yand y(0) = 1

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