Question: Please show your steps and detailed work 3. (5 marks) Use the binomial series to estimate the arclength of the graph of function f(a) =

Please show your steps and detailed work

3. (5 marks) Use the binomial series to estimate the arclength of the graph of function f(a) = ac 3 from the points (0, 0) to (1/2, 1/24). Use only the first three terms of the series. 4. (5 marks) Use a Taylor series of the given function to obtain the values of the series given below OO (a) f(x) = tan '(x) to obtain: 2V/3 (-1)" = TT. (2n + 1)3n n=0 (-1)" * 2n+1 (b) f(x) = sin(x) to obtain: 42n+1 (2n + 1)! n=0

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