4. Show that z = a' Zax if z = e-al cos(x-at) %3D

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A: Solution of the problem as follows

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A:

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A:

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A: Evaluating the given integral.

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A: Using anti derivative formula.

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A:

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A:

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A: Given that: cos2(xy)=14

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A:

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A: Compute the derivative as follows.

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A: We have to find the derivative of y at x=1

Q: 1. Find dx dy for the following functions: 1) y = (x- 3)(1- x) (ans.:4 - 2x) b (ans. :-,) x* 2) y=…

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Q: 81. Let z = Vcos y. Find (a) z/dx? (c) dz/@xdy (b) z/@y? (d) ²z/@yðx.

A:

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A: Differential equation

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Q: 5) ( cos 'x dx -1 Where: u = cos(x) dv = dx

A: