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Change into polar, cylindrical, or spherical coordinates to evaluate the following integrals. and D is the annulus between a? + y² = 4 and (a) SSn fdA where f(x, y) a² + y? = 9 (b) SSfw fdV where f(x, y, z) = e((x²+y²+z*)/?) and W is the unit ball (c) SSlw z(x² + y²)dV where W is the solid inside the sphere a? +y? + 2? = 4 and inside the cylinder a? + y² = 1 %3D

Change into polar, cylindrical, or spherical coordinates to evaluate the following integrals. and D is the annulus between a? + y² = 4 and (a) SSn fdA where f(x, y) a² + y? = 9 (b) SSfw fdV where f(x, y, z) = e((x²+y²+z*)/?) and W is the unit ball (c) SSlw z(x² + y²)dV where W is the solid inside the sphere a? +y? + 2? = 4 and inside the cylinder a? + y² = 1 %3D

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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Change into polar, cylindrical, or spherical coordinates to evaluate the following integrals. (a) SSp fdA where f(x, y) = x² + y? = 9 and D is the annulus between r2 + y? = 4 and (b) SSfw fdV where f(x, y, z) = e((x²+y²+z²)%/2) and W is the unit ball (c) SSlw z(x2 +y?)dV where W is the solid inside the sphere r2 +y? + z² = 4 and inside the cylinder x2 +y² = 1
Transcribed Image Text:Change into polar, cylindrical, or spherical coordinates to evaluate the following integrals. (a) SSp fdA where f(x, y) = x² + y? = 9 and D is the annulus between r2 + y? = 4 and (b) SSfw fdV where f(x, y, z) = e((x²+y²+z²)%/2) and W is the unit ball (c) SSlw z(x2 +y?)dV where W is the solid inside the sphere r2 +y? + z² = 4 and inside the cylinder x2 +y² = 1
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