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√√9-x²-y² L.LV aff √x² + y² + 2² dz dy dr. √6-x² Consider the integral (a) Convert the given integral into an iterated triple integral in cylindrical coordinates. Do not evaluate the resulting integral.

√√9-x²-y² L.LV aff √x² + y² + 2² dz dy dr. √6-x² Consider the integral (a) Convert the given integral into an iterated triple integral in cylindrical coordinates. Do not evaluate the resulting integral.

Advanced Engineering Mathematics
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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√6 9-x²-y² Consider the integral ¹ L L ² √² + y² + z² dz dy dz, -√6-x² (a) Convert the given integral into an iterated triple integral in cylindrical coordinates. Do not evaluate the resulting integral. (b) Find the value of the given integral by converting this integral into an iterated triple inte- gral in spherical coordinates and evaluating the resulting integral. Any expression that is a trigonometric function value of the inverse tangent of a real number has to be evaluated.
Transcribed Image Text:√6 9-x²-y² Consider the integral ¹ L L ² √² + y² + z² dz dy dz, -√6-x² (a) Convert the given integral into an iterated triple integral in cylindrical coordinates. Do not evaluate the resulting integral. (b) Find the value of the given integral by converting this integral into an iterated triple inte- gral in spherical coordinates and evaluating the resulting integral. Any expression that is a trigonometric function value of the inverse tangent of a real number has to be evaluated.
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