4. Consider a soup can of height 2 and radius 3, whose base (bottom) lies in the r- y plane and is centered at the origin. (A soup can is a cylinder plus circular "caps" on the bottom and top). Without computing any integrals, compute the flux of F(x, y, z) = [r(x² + y² – 9), y(x² + y? = 9, z] through the soup can, oriented to have outward pointing normals.
4. Consider a soup can of height 2 and radius 3, whose base (bottom) lies in the r- y plane and is centered at the origin. (A soup can is a cylinder plus circular "caps" on the bottom and top). Without computing any integrals, compute the flux of F(x, y, z) = [r(x² + y² – 9), y(x² + y? = 9, z] through the soup can, oriented to have outward pointing normals.
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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![4. Consider a soup can of height 2 and radius 3, whose base (bottom) lies in the x y
plane and is centered at the origin. (A soup can is a cylinder plus circular "caps"
on the bottom and top). Without computing any integrals, compute the flux of
F(x, y, z) = [r(x² + y² = 9), y(x² + y? = 9, z] through the soup can, oriented to have
outward pointing normals.
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Transcribed Image Text:4. Consider a soup can of height 2 and radius 3, whose base (bottom) lies in the x y
plane and is centered at the origin. (A soup can is a cylinder plus circular "caps"
on the bottom and top). Without computing any integrals, compute the flux of
F(x, y, z) = [r(x² + y² = 9), y(x² + y? = 9, z] through the soup can, oriented to have
outward pointing normals.
%3D
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