Solved: 2730. Double integralstransformation given To

Chapter 13, Problem 30

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2730. Double integralstransformation given To evaluate the following integrals, carry out these steps. a. Sketch the original region of integration R in the xy-plane and the new region S in the uv-plane using the given change of variables. b. Find the limits of integration for the new integral with respect to u and v. c. Compute the Jacobian. d. Change variables and evaluate the new integral. OR xy dA, where R is bounded by the ellipse 9x2 + 4y2 = 36; use x = 2u, y = 3v.

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