a) Produce an image of the region in R3 bounded by the surfaces y = 2x, y = -2x, z = 4y² satisfying y, z ≥ 0. b) Set up the integrals that compute the volume of the region with differentials in the orders: dedzdy & dzdxdy c) Compute the center of mass of the region under the density p(x, y, z) = x² kg/m³.

Calculate the volume which is bounded by z = 0, z = 4 – x² - y² and the cylinder x² + y² = 1.

Find the volume of the solid obtained by rotating the region bounded by y=sqrt(x-1), y=0, x=5 about the line y=3

Sketch the region bounded below by z = x² + y², laterally by the cylinder x² + y² = 1, and above by z = x² + y² + 1.