Develop the following function in power series 3 f(x) 3+x and use four terms a to approximate the integral 3 -dx 3+x 0.

Q: Confirm that summation d/36 ϕ(d) = 36 and summation d/36 (-1)^(36/d) ϕ(d) = 0

A: We have to confirm that ∑d/36φ(d)=36 and ∑d/36(-1)36/dφ(d)=0.

Q: b. Find The Fourier series for the function defined by -n <x <0 0sx<π SA + x f(x) = {".

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Q: 5. Consider the following function : x 0 (a) Calculate the Fourier series (both sines and cosines)…

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Q: Q1: Expand in a sine-Fourier series: f(x)=x,0 < x < 1.

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Q: 3. Expand the function f(x)=x (4-x²) in the interval -2 ≤x≤2 and period f(x+4)= f(x) to the Fouriér…

A: Solution :-

Q: Q2. Find the Fourier series for the function f(x) = |x-x² for −1 < x < x<π]

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Q: Q2: Find the Fourier series expansion of the function f(x) = xsinx for < x < 2n.

A: Given fx=xsinx We know fx=a02+∑n=1∞ancosnx+bnsinnx

Q: Determine the Fourier series for the following function: f(x) = (x2 + 5x) for 0 <xs 2T. %3D…

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Q: ƒ (x) = X (1+6x)²

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Q: F(x)=イー2 2.

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Q: Find the lower sum for f(x)=x2 over [−1,1] with n=4. Give your answer in fractional form.

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Q: Find the Fourier series of the following f(x) on the interval [-1,1]. f(x) = –4+ 4x2

A: Recall: Fourier series :   f(x)=a0+∑n=1∞an cosnπxL+∑n=1∞bn sinnπxL ; -L≤x≤L where , a0=12L∫-LLf(x)…

Q: A SOLVE S PERIODS OF THE FOURIER SERIES B Solve 6 PERIODS OF THE POURIER SERIES si 0sz< si <z<} 2-3r…

A: The piecewise function given is as follows: fx=     20≤x&lt;1312-3x13&lt;x&lt;2323&lt;x&lt;2 We are…

Q: Pls solve this question correctly instantly in 5 min i will give

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Q: Which is the greater rate,15 miles in 12 minutes or 25 miles in 20 minutes?Explain

A: Solution: the objective is to find sum of given series

Q: Let f(x)=x² cos(√x).

A: Given function f(x) as follows :-   f(x)=x2cos⁡(x)   To find power series of derivative of f(x)…

Q: Q6. Find the Fourier series of the periodic function f(x) = {-²₁1 0<x<T -π < x < 0

A: We have to find the Fourier series of the periodic function

Q: DO 11/2 x cos x² clx

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Q: Find the power series representation for the derivative of the function

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Q: Differentiate the Maclaurin polynomial of degree 4 for f(x) = ex . Describe the relationship between…

A: Maclaurin polynomial of degree 4 is P4x=f0+f'0x+f''02!x2+f'''03!x3+f404!x4.

Q: Find the Fourier series of the function f(x) = |x| which is defined over the range -л<x<π.

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Q: for -π<x<01 04. Find the Fourier series for the function: ƒ(x)= for 0<x< T

A: Fourier series of the function

Q: Calculate the Fourier series of the function f(x) = x on the interval [−2,2].

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Q: Find the Fourier series of the function if -4 <x< 0 f(x) S(x + 8) = f(x) %3D if 0 <x< 4

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Q: 1/4 f O √x sinx ²dx

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Q: Expand f(x) = -X X if -π < x < 0, if 0 < x < π, in a Fourier series.

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