* In(tan-1 x) da 1+ x² CS

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A: 4. Let y=tan5x4 ⇒dydx=ddxtan5x4⇒dydx=sec25x4×ddx5x4⇒dydx=sec25x4×54dxdx⇒dydx=54sec25x4

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A: To evaluate the given double integral.

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Q: ☺ Sketch the araph of each inequality: a.) 4x +3y&12 b.) y z 12x-41 e) (x-2)? +ly-)e<lo

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Q: 1.) The number of unhealthy days in selected cities are given below. Construct a Frequency…

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Q: Show that A and B commutes: * 2/3 -1/31 1/5 7/15 -1/5 1/15. 1 1 0. 21 1B =|-3/5 2/5 2 4. 3 %3D -1 ]

A: Given A=112231-124, B=230-13-352515715-15115

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Q: Question 3. Suppose the function u(x,t) solves the wave equation utt = Upx, prove che identity u(x +…

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Q: Suppose that the joint CDF of the random variables X and Y is given by: 0, x < -2 or y < -5

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Q: 1. Which among the following functions have an inverse? (a) f(x) = 2x2 – 5 (b) g(x) = 3x -8 (c) h(x)…

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Q: x3 + 3x2 - 2x - 17 dx 29. x - 2

A: topic - indefinite integral