Q3) Verify that the Fourier transform of the function [1-x|, |x|<1 10₂ |x|>1 f(x)= a. Then Show that 2 sin u u b. Compute the integral 2 du sinu u is T 4 4 du ƒ (k)= f sin² (1/2)²

Q: find the root of the equation  f(x)= -x/2 + sinx =0 using bisection method in the interval [1,3]…

A: given function fx=-x2+sinx=0 find the root of the equation using bisection method in the interval…

Q: Find the firs t derivative of the f anction y=4sin[sselur)] at the Point x= T

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Q: Find the Fourier Transforms of the indicated function: f (x) = cos x e−x^2/2

A: The given problem is to find the Fourier transform of the given function. Given function, f(x) =…

Q: Use the intermediate Value Theorem to show that between x = 0 and x = 1, the function f(x) = 3 sinh…

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Q: Let f (t) = et sin 8t Part (a) Find L{f(t)}

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Q: Find the absolute maximum and minimum of f(t) = -2cos2t + sin4t on  the interval [0,pi/4]

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A: By the first derivative test, a function is decreasing if its derivative is less than zero.

Q: Q3) Verify that the Fourier transform of the function [1–|x|, 1-|x|, |x|1 ƒ (x) = = { 1 + 0 is ƒ…

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Q: The principal part for a) 5 b) 2 for xo of f(x) = 2 + 5+ sinx with respect to ↓

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A: AS PER GUIDELINES I CAN ATTEMPT ONLY FIRST QUESTION

Q: Prove that the Fourier transforım of f' (x), the derivative of f (x) is – ip f (p), where S(p) is…

A: Answer: For the given data,

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Q: x+y %3D 21. Prove that tan-x + tan-'y tan - xy.

A: Using tan(A+B) =( tan(A) + tan(B) )/(1- tan(A) tan(B) ).