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Question 4. Consider the transformation from Cartesian coordinates (x, y) to coordinates (u, v) given by the following equations: u = xy v=1/3 - 21/3.
Question 4. Consider the transformation from Cartesian coordinates (x, y) to coordinates (u, v) given by the following equations: u = xy v=1/3 - 21/3. (a) Find the absolute value of the Jacobian determinant for this transformation. (b) For what values of a and y is the transformation invertible?Question 5. Use the transformation in Question 4 to evaluate the integral sin(In(y1/3 - x1/3)) dA where D = {(x,y) : 10}. The curves bounding the region D are shown below. xy = 4 yl/3 - x1/3 = en cy = 1 D yl/3 - x1/3 = 1
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