2. (a) Set up an integral in Cartesian coordinates to find the volume of the solid that lies between the xy- plane and the paraboloid z = 25-2-2. (b) Set up an integral in polar coordinates to find the same volume described above. (c) Set up an integral to find the surface area of the part of the paraboloid z = 25-2-y² that lies above the xy-plane. (You choose which coordinate system to use for this.)
2. (a) Set up an integral in Cartesian coordinates to find the volume of the solid that lies between the xy- plane and the paraboloid z = 25-2-2. (b) Set up an integral in polar coordinates to find the same volume described above. (c) Set up an integral to find the surface area of the part of the paraboloid z = 25-2-y² that lies above the xy-plane. (You choose which coordinate system to use for this.)
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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