Question: Compute fff2dV where D is the region inside the ellipsoid 9x2 + 4y2 + 2 = 1. Hint: Use a modification of spherical coordinates.

Compute fff2dV where D is the region inside the ellipsoid 9x2 + 4y2 + 2 = 1. Hint: Use a modification of

Compute fff2dV where D is the region inside the ellipsoid 9x2 + 4y2 + 2 = 1. Hint: Use a modification of spherical coordinates. Let D be the region in the first octant bounded by the coordinate planes and the surface + uy=v2=. 9+1. Compute fff dV using the change of variables = Let D be the solid obtained by rotating about the z axis, the region in the y, plane bounded by = y, z = 2y and y= 1. Compute fff2dV. Compute ffydV where D is the solid obtained by rotating about the z-axis the elliptical region (y-5)2 {(v. =) : + 9 Compute fff dV where D is the region in R given by D=((e.V.2) (-1)+(+1251, -15:51). (-1) You may sketch the surface of the solid using Mathematica. For a fixed height = h, each section of the solid is an elliptical region. So a change of variables using hand variables for an elliptical region may be convenient.

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