5) By using Stokes' Theorem, find the work performed by the vector field Ex² + 4xy³i+ y²xk,on a particle that traverses the rectangle C in the plane z = y shown below. Ans: -90

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A: Problem is solved using second-order predictor-corrector method.

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Q: [6] Find the Fourier integral representation of f(x) = { 02 0 1.

A: Fourier integral representation

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Q: e²x -{8²² 0 [8] Find the complex Fourier integral representation of f(x) = |x| < 1, |x| ≥ 1.

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A: here We use substituion method

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