Evaluate the double integral that will find the volume of a solid bounded by z=1-2y²-3x² and the xy-plane. (Use trigonometric substitution to evaluate the formulated double integral.)

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 5E: For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a...
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Evaluate the double integral that will find the volume of a solid bounded by
z=1-2y²-3x² and the xy-plane.
(Use trigonometric substitution to evaluate the formulated double integral.)
Transcribed Image Text:Evaluate the double integral that will find the volume of a solid bounded by z=1-2y²-3x² and the xy-plane. (Use trigonometric substitution to evaluate the formulated double integral.)
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