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26. 2126. Variable-density plates Find the center of mass of the following plane regions with variable density. Describe the distribution of mass in the region.

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26.

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2126. Variable-density plates Find the center of mass of the following plane regions with variable density. Describe the distribution of mass in the region. \f2730. 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 Iacobian. d. Change variables and evaluate the new integral. \f3136. Double integralsyour choice of transformation Evaluate the following integrals using a change of variables. Sketch the original and new regions of integration, R and S.

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