Question 10. Find the Fourier cosine series forf (x) x 들 if 0≤x≤ 1/1/ if / ≤x≤L on 0 ≤ x ≤ L.

Q: EX: - Derermine expoentail fourier series of X(t)=exp(2t) for -1<t<1 and has period of 2

A: Find the attachment for the solution.

Q: - 2 sxs-1 QI/ Find the Fourier series for the Function f(x) = 1 -1sxs1

A:

Q: Find the Fourier series of the function TAXO [7². ƒ (x) = {( x - x)²³, 0<x<^ on the interval (-7,7)…

A: Solution is given below:

Q: Q1) Find the Fourier series of the function: -1<x<0 f(x) = %3D 0 <x<1

A:

Q: 3. Find Taylor series for tan-1x about x =1 .

A: We find the Taylor series for tan-1x about x=1.

Q: Find the coefficients of the power series c0, c1, c2, c3, c4 for f(x)=ln(1-x^2)?

A:

Q: -π<x 0. 0<x<π. 2 f(x) = {?

A:

Q: 7. f(x)=x² – x+3, –2<x<2

A:

Q: Find the Fourier series

A: Given,          f(x)=1if -π≤x&lt;0-1if 0≤x&lt;π

Q: Find the Fourier series of the function if -4 < x< 0 X f(x) S(x + 8) = f(x) if 0 <x< 4

A:

Q: { Expand the function f(x) = = if 0<x<3 6-x, if 3 < x < 6 x, in a half-range (a) sine series; and…

A: Given that  fx=xif 0&lt;x&lt;36-xif 3≤x&lt;6   (a)  The half range Fourier Sine series of f(x) is…

Q: Q7// Determine the Fourier series for the functionshown.

A:

Q: What is the first term of the given Fourier series f(x) = 2 E,(-1)"-l sin () ? %3D Select one: -2…

A:

Q: Q2)/ Solve the following Fourier series: f(x) = Isinx| = sinx ; If 0 <x <2n - sin x ;If - <x<0

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Q: 4. Express the f (x)=1+x function as a Fourier series in the interval of -T<x<T (Plesae check first…

A:

Q: Find the complex Fourier series of the function if- π<x<0 if 0 <x < n f(x) = {"1 ow the details of…

A: Given:- Let fx=a02+∑n=1∞ancos nx+∑n=1∞bnsin nx   a0=1π∫-π0fx dx+∫0πfx dx a0=1π∫-π0-1 dx+∫0π1 dx…

Q: {: (z) -T <I<0

A:

Q: 13.) Find a power series for the function f(x): = 5 2-6x3*

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Q: Q8// Determine the Fourier series for a periodic function shown 27 2n 3n

A:

Q: nd Maclaurin for Series frax)= sin X

A: Given we have given the function  f(x) = sin(x) we have to find the Maclaurin series for f(x) we…