(a) For f(x) defined on the interval (0, 2), graph the function to which the Fourier Cosine series converges on the interval [-6,6]. Be sure to indicate the values at jump discontinuities. What is the fundamental period and fundamental frequency of this periodic extension? -2

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A: Given:   A training field is formed by joining a rectangle and two semicircles, as shown below. The…

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A: The value of table for x and y x 0.1 0.15 0.2 0.25 0.3 y 0.1003 0.1511 0.2027 0.2553 0.3073

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A: This is a question of Graph Theory.

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Q: Question 15 Find the solution. dy y dx - 3x A y = C+x3 B y = cx-x3 3x y = c-x3 х D y = 3 c+x 3.

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A: Given that  B={-x+x2,-x2,1-x} and  C={2+x-x2,2-x2,3+x-2x2} We find the change of basis matrix…

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A: Given: fx=x3-nx+2, n∈ℤ. To show fx is irreducible over ℚ for n≠-1,3,5.

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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: (1) Consider the following differential equation, with time domainte (0,1): Sy = ( -1)y. Lu0) = 1.…

A: Solution is in given below