Let E be the solid enclosed by the ellipsoid 1 above the xy-plane. 9 1. Calculate the Jacobian using the change of varia

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Let E Be The Solid Enclosed By The Ellipsoid 1 Above The Xy Plane 9 1 Calculate The Jacobian Using The Change Of Varia 1 (45.26 KiB) Viewed 72 times

Let E be the solid enclosed by the ellipsoid 1 above the xy-plane. 9 1. Calculate the Jacobian using the change of variables x = 2u, y = 2v, and z = 3w. a(x, y, z) (u, v, w) J(u, v, w) 2. Rewrite the integral using the change of variables: [!] = E dV = = fff f(u, v, w) du du dw, where B is the solid enclosed by the unit sphere above B the uv-plane. Find f(u,v,w). f(u,v,w) y² SSS E 3. Evaluate the integral (you may use spherical coordinates to evaluate the integral). = fff f(u, v, w) du dv dw = [ B z dv = (express your answer in terms of u, v, and/or w)