(i) Let f(x) = Cos0.5 x (a) Find the MacLaurin series of f(x) up to and including the quadratic term (b) Find the Taylor
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(i) Let f(x) = Cos0.5 x (a) Find the MacLaurin series of f(x) up to and including the quadratic term (b) Find the Taylor
(i) Let f(x) = Cos0.5 x (a) Find the MacLaurin series of f(x) up to and including the quadratic term (b) Find the Taylor series of f(x) expanded at up to and including the quadratic term (Write coefficients in the form avt, where a, b, c e Z) (C) Use the above two results to get two different approximations of the following integral, giving your answers to 4 decimal places: с TI Suicos)05 dx COS (d) Which of the two estimates in part (c) above do you think is more accurate? State briefly why.
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