The temperature distribution T(x),at a distance x , measured from one end, along a bar of length L is given by T(x) = Kx(L-x) , 0

Q: sec x=1/5 on [0,2pie)

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Q: M=2 2. Find the value of an (n + 0) in the Fourier series expansion of the functions f (x) = sin(Mx)…

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Q: f (x) AN X

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A: Consider the given function f(x)=x             for -1<x<1

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Q: Write the first 4 terms of the Fourier-Legendre expansion of the following function. Put in the…

A: It is known that the Fourier-Legendre polynomial series for a function fx in the interval -1,1 is…

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A: According to the given information, it is required to find the coefficients of the fourier series…

Q: Q: Find the Exponential Fourier Series of the triangular waveform shown over the interval (-To/2,…

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Q: 3. Let f(x) = x sin(x) on [-7,7]. (a) Write a Fourier expansion of f(x) on this interval. (b) Use…

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Q: For the following function, you are given one period of the function. f(x) = sin tx on the interval…

A: The given function is  on the interval .We need to draw several periods of the function.Expand it in…

Q: f(t) = sin t 0<t 2

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Q: 8.(a) Find the Fourier transform for the function cos x, -n/2 7/2 f(x) = 0, (b) Use the result in…

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Q: Locate the first nontrivial root of sin(x) = x2 where x is in radians. Use bisection with the…

A: To do the calculations in Excel, first enter the numbers in separate cells. Each number is…

Q: Qu Find the Fourier Series of the frnction fs)= メ+て if -元くメオ ール

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Q: - 1< x < 0 0 < x < 1' (e* 3. Find the Fourier series of f(x) = {". f(x) = f(x + 2).

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Q: Q/ Find the Fourier series for the periodic extension of f(x) = {*n x %3D Q +

A: We  use the definition.

Q: f(x)=x+n, f(x+2) = f(x) Vr ER

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Q: Ln denotes the nth Lucas number. (L₁ = 1 and L₂ = 3 and Ln = Ln-2 + Ln-1). Find the 7th Lucas…

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Q: |x] 1 (a) Find the Fourier transform of S(x) = x CoS X - sin dx. (b) Evaluate Jo COS a cos a (а) 2у…

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Q: Find the Fourier series representation of the periodic function below if c = 9.62 and d = 0.46.…

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Q: 37. f(x) = x + 1, 0 <x< 2

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Q: Use the variation of parameters to find the general solution of the following ODE. z'' + z = tan2 x

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Q: Determine the half-range Fourier cosine series to represent the function f(x) = 3x in the range 0…

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Q: please do part C only

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Q: Q1-A) Determine the half range Fourier Sine Series for the function f(t) = sin t ost2

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Q: 3. Prove that -2/3 dx diverges by showing that х lim -2/3 dx = 00 х

A: Given limit is Since one of the limit of integration is infinite , so we evaluate the limit as…

Q: Q5: Find the complex form of Fourier expansion of the following function: f(1) =e' -1</<+1

A: Sol:- Complex Form of Fourier series of function fx on interval -L≤ x≤ L is defined as:fx=A0+∑n=1∞…

Q: find the fourier series for the half-Periof sine of the function fxj = sinx inthe period x Then find…

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Q: 1. We consider a function g(t) that is equal to t for 0 < t < 3. Over this range, g(t) = t. Write…

A: A  complex number is an element of a number system that contains the real numbers and a specific…

Q: 31. f(x) = {X, 0<x<1 ti, 1<x<2

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Q: 5. Find the Fourier Series of the function: S0, f(x) -T < x < 0 1, 0 <x< T

A: The solution is given as