Question 3 Let E be the solid enclosed by the ellipsoid x² + + 4 9 1. Calculate the Jacobian using the change of variables x = u, y = 2v, and z = 3w. J(u, v, w) a(x, y, z) (u, v, w) z dV = 2. Rewrite the integral using the change of variables: JIJ [ f(u, v, w) du du dw, where B is the solid enclosed by the unit sphere above E B the uv-plane. Find f(u,v,w). f(u,v,w) = SSS E 3. Evaluate the integral (you may use spherical coordinates to evaluate the integral). = fff f(²₁₂² B z dV = 1 above the xy-plane. (express your answer in terms of u, v, and/or w) v, w) du dv dw= π 5TT

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