Find the Maclaurin series for the function. (a) f(x) = e-2x (b) f(z) = xe* (c) f(x) = x-1 x + 1
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- cos (6x2 Let f(x) 1 Evaluate the 10th derivative of f at x = 0. x2 f(10) (0) = Hint: Build a Maclaurin series for f(x) from the series for cos(æ).(-1)".(x- 3)" Given the power series F(x)%3D n=0 2h Find the derivative for the power series F(x).For f(x) = |x| find the coefficients from the Fourier series of f(x) on the interval (-n,1) by using the appropriate cosine or sine series.
- cos (6x*) – — 1 Evaluate the 9th derivative of f at x = 0. COS - Let f(x) = x7 f()(0) = Hint: Build a Maclaurin series for f(x) from the series for cos(x).4 A function f(x) is defined by f(x) = π-x f(x+2π)=f(x). Express the function (a) as a half-range cosine series (b) as a half-range sine series. 0f(x) = |sin(x)| Find the Fourier Periodic in the range -n2 Obtain (a) the half-range cosine series and (b) the half-range sine series for the function 0, 0(1( A) =The function f(x)=3xarctan(6x) is represented as a power series (image) Find the first few coefficients in the power series.Find the power series of the function f(2) = sin(2z) with centre 7/3. Find the power series of the function f(z) = e(52) with centre i/3. Find the power series of the function f(2) = cos(z) with centre 1.SEE MORE QUESTIONSRecommended textbooks for youCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning