Find the Fourier cosine series for f over the given interval. Use symmetry whenever possible to help with the calculations. f(x)=e"; [1,1]. The Fourier series is + m = 1, 2, 3, ... sin(mπx)+ cos(mTx)

Q: 4. Find (a) the Fourier cosine series, (b) the Fourier sine series. Sketch f(x) and its two periodic…

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Q: 1.1288 (x)=: tanh (1.3288V* )using bisection Determine the real root of method to locate the root.…

A: Function: f(x)=1.1288x-tanh1.3288x When x=1 and x=2,…

Q: 2. Find the Fourier series of the following functions: 1, <<n, 0, otherwise, { { 1, I피< (b) { 1,…

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Q: 18 a Show that / (1 + sin 2zx)dx = n, for all positive integers n. b Sketch y = 1 + sin 27x, and…

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Q: 6. Write the Fourier Sine series for f(x) =R - x (0<x<7). sin nx Ans. 2

A: To find the fourier sine series of the given function f(x) = π-x in half range 0 to π we use the…

Q: Prove that if f(2) is an odd function, that is, f(-2) = –-f(2) for all z E C, and f is analytic in a…

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Q: 6. Approximate the real root of x – cosx = 0 to three decimal places. Let xo = 0.8 and find x1, x2,…

A: Let f(x) = x - cos(x) x0 = 0.8 By using the Newton-Raphson method to approximate the root,…

Q: Apply Bisection method to find the root (only one root) of the function: f(x) = (8) sin(x)…

A: we here see that the given function is     f(x) = 8sinx+8cosx -x   Assuming the  trigonometric…