5. You are given the following function ƒ of period 2, as f(x) = x for -π

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A: Please check step 2 and 3 for the solution.!

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A:

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A: Expand the given function in an appropriate Fourier series.

Q: 4: Using appropriate Fourier series, Show that 4 -cos x=-sin 2x+sin 4x + 15 2 6. sin 6x+..... 35 4 3

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A: Given that, gx=1, hx=x

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Q: Problem 7. Find a periodic Solution as a Fourier series to x" + 3x = F(t) Where F(t) = 2t on…

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A: According to our guidelines we can answer only one question and rest can be reposted.

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Q: Problem 3. Let f(x) = 3 – x be defined on [0, 1]. Sketch 3 periods of its odd and even periodic…

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