(a) Let D be the region enclosed by the surfaces z =- |4–x² – y² and z= +y² . Determine zdv by using spherical coordinates. (Make a sketch before calculations)
(a) Let D be the region enclosed by the surfaces z =- |4–x² – y² and z= +y² . Determine zdv by using spherical coordinates. (Make a sketch before calculations)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:(a) Let D be the region enclosed by the surfaces z =-
4-x² - y and z=-
Vox? +y² .
Determine
|| zdv
D
by using spherical coordinates.
(Make a sketch before calculations)
Expert Solution
Step 1
Triple integral is used to integrate the function of three variable over the three-dimensional region.
It is essentially used to calculate the volume of the region and also called as volume integral.
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