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Mathematics, 24.04.2020 18:05 KennyOaks6230

Use cylindrical coordinates to find the volume of the region bounded by the plane zequals0 and the hyperboloid zequalsStartRoot 122 EndRootminusStartRoot 1 plus x squared plus y squared EndRoot. An x y z coordinate system has an unlabeled x-axis, an unlabeled y-axis, and an unlabeled vertical positive z-axis. A solid has the shape of part of a hyperboloid with vertex on the positive z-axis that opens in the negative z direction and is bounded from below by the x y plane, where the solid has a circular face centered at the origin. Set up the triple integral using cylindrical coordinates that should be used to find the volume of the region as efficiently as possible. Use increasing limits of integration. Integral from 0 to nothing Integral from nothing to nothing Integral from nothing to nothing (nothing )font size decreased by 3 dz font size decreased by 3 dr font size decreased by 3 d theta

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