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10. To evaluate the following integral, carry out these steps. a. Sketch the original region of integration R in the xy-plane and the new region

10. To evaluate the following integral, 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.

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To evaluate the following integral, carry out these steps. 3. 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. 6. Compute the Jacobian. :1. Change variables and evaluate the new integral. II - xy dA, where R is the square with vertices (0,0), (1,1), (2,0), and (1,-1); use x = u + v. y= u - v. R

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