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22. Calculate ydv, where W is the region above z = x² + y² and below z = 5, and bounded by y = 0 and y = 1.

22. Calculate ydv, where W is the region above z = x² + y² and below z = 5, and bounded by y = 0 and y = 1.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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22. Calculate ydv, where W is the region above z = x² + y² and below z = 5, and bounded by y = 0 and y = 1.
Transcribed Image Text:22. Calculate ydv, where W is the region above z = x² + y² and below z = 5, and bounded by y = 0 and y = 1.
Expert Solution
Step 1

Given integral is

∫∫∫Wy dv

Where 'W' is a region lies above z=x2+y2and below z=5 and bounded by y=0, y=1

Step 2

∵z=x2+y2

and

z=5

∴x2+y2=5⇒x2=5-y2⇒x=±5-y2

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