1. Let f(x) be a function of period 2n such that 1, -T

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Q: f (2) = ) f (z) = 6 if<< 0,订号<<

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A: The solution for the asked question is given as

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Q: 3 -3 x³dx=0

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Q: (X) dx

A: We have to find the integral of the product of the associated legendres.

Q: Obtain the Fourier series and find the first seven terms| 0, -T < x < 0 f(r) = 0 <x < T

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Q: Fourier Series of 2 on the interval [-T, 7 3

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

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Q: 5. Interval 0 <x<n, function, f(x) = cos x.

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Q: What properties of Fourier Transform best describe the equation below? F[f(-x)](@)= 4(-@) O…

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Q: f(x) = x*exp(-ax²)

A: Given function is f(x)=xe-ax2 Since we know ℱe-ax2=12ae-ω24a

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A: We can solve the integration as below.

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