5. Let D be the region bounded below by the cone z z = 2 – x? – y?. Convert these surfaces into cylindrical coordinates. Find the intersection of these two surfaces. Make a sketch of D. Set up a triple integral in cylindrical coordinates that gives the volume of D. You do not need to evaluate this integral. (Hint: In your setup, use the order of integration dz dr d0.) Va? + y? and above by the paraboloid
5. Let D be the region bounded below by the cone z z = 2 – x? – y?. Convert these surfaces into cylindrical coordinates. Find the intersection of these two surfaces. Make a sketch of D. Set up a triple integral in cylindrical coordinates that gives the volume of D. You do not need to evaluate this integral. (Hint: In your setup, use the order of integration dz dr d0.) Va? + y? and above by the paraboloid
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 23E
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