Show that the function u(x,t) = sin(kx)sin(akt) is a solution to: utt = a²uxx where ut = a²u/at², uxx = a²u/ax²

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Q: Prove using the IVT cosx = cos-1x has a solution in (0, 1).

A: cos x = x   rearrange to x - cos x = 0

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A: The objective of the question is evaluate the partial derivative of the given functions.

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Q: Use the linearization of f(x) = sin x about an appropriate point Xo to approximate sin 610. Note…

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Q: Use the method of Characteristic to solve U t tuux = 2t, u(x, 0) = 3x.

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