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The region W is the cone shown below. The angle at the vertex is +/3, and the top is flat and at a height of 4√/3. Write the limits of integration for Sw dV in the following coordinates (do not reduce the domain of integration by taking advantage of symmetry): (a) Cartesian: With a = C = e = Volume = S SS b = d = and f = d d 7 d

The region W is the cone shown below. The angle at the vertex is +/3, and the top is flat and at a height of 4√/3. Write the limits of integration for Sw dV in the following coordinates (do not reduce the domain of integration by taking advantage of symmetry): (a) Cartesian: With a = C = e = Volume = S SS b = d = and f = d d 7 d

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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The region W is the cone shown below. The angle at the vertex is π/3, and the top is flat and at a height of 4√/3. Write the limits of integration for Sw dV in the following coordinates (do not reduce the domain of integration by taking advantage of symmetry): (a) Cartesian: With a = C = e = d Volume = SS S Så Sé b and f = d d d
Transcribed Image Text:The region W is the cone shown below. The angle at the vertex is π/3, and the top is flat and at a height of 4√/3. Write the limits of integration for Sw dV in the following coordinates (do not reduce the domain of integration by taking advantage of symmetry): (a) Cartesian: With a = C = e = d Volume = SS S Så Sé b and f = d d d
(a) Cartesian: With a = C = e = Volume = (b) Cylindrical: With a = C = e= eb ed · Se d Volume = SS S (c) Spherical: With a = C = e = Volume = eb ed Sa Se Se b= = d= and f= = 9 || d = and f = b= d = and f= d d d d d d d d d
Transcribed Image Text:(a) Cartesian: With a = C = e = Volume = (b) Cylindrical: With a = C = e= eb ed · Se d Volume = SS S (c) Spherical: With a = C = e = Volume = eb ed Sa Se Se b= = d= and f= = 9 || d = and f = b= d = and f= d d d d d d d d d
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