a3, 9y = a³, Consider the region D in the first quadrant of R? bounded by the curves y = x = y3 and 16æ = %3D y*, as pictured below. 4 Y = x3 3 16x = y 9y = x³ %3D D 2 x = y° 1 1 2 3 4 (a) Find a transformation (u, v) = T(x,y) such that the image T(D) of D under T is a rectangle in the uv-plane. Justify your answer. %3D a(x, y) a(u, v)* (c) Use the change of variables theorem to compute fSp 1 dA. (b) Find the Jacobian Express your answer in terms of u and v. (d) What geometric quantity does the integral in (c) represent?

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Q: #16 please

A: We know that,

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A: WE HAVE SOLVED THIS PROBLEMS BY THE RULES AND FORMULAS OF INTEGRATION.

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Q: Q1. Consider the region D in the first quadrant of R? bounded by the curves y = x³, 9y = x³, x = y3…

A: As you have asked for question 1a only. So I am solving that only. Hope it helps you. Thank you.

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