Given the function f(x) = 4x +2 defined on the interval (0, 2], denote by f, the even extension on [-2, 2] of f. Find feF, the Fourier series expansion of fe Ser(3) = +Ea. пях a, cos + b, sin): that is, find the coefficients ao, a, and b. with n> 1.

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 - y from above inside y = x2 ,y = 4.

A: Volume bounded by xy-plane

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Q: Example 1.2 (i) Determine if the following series converge or diverge. a) k+3 (-1)*-1 k k(k+1) k-1…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

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Q: L. RELATIONS Let C= D= {-3, -2, -1, 1, 2, 3} ar For all (x, y) E Cx D, (x, 1. a. Is 2 S 2? b. Is -1…

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Q: A. Let p(x) = 2x + 5x-3,m(x) = 2x- 1,and h(x) = Find: 1. (m-p)(x) 2. p(5)+ m(3)-h(1) +1 %3D x-2 3.…

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A: Follow the steps and python script.

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Q: 3. For each of the transforms G(s), • express the inverse transform, g(t) = L¯' {G(s)}, in terms of…

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Q: (9) Let T: R. -R? be a linear transformation. Suppose T(u) = and T(v) = What is T(2u -3v)?

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Q: QI) Evaluate the integral dx dy using polar coordinate 4-y?

A: Polar coordinates are r and thetha Let x = r cos thetha y = r sin thetha So x² + y² = r²

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Q: Q3) Evaluate triple integral S S dz dy dx.

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