Let S be the portion of the cylinder 2 - 6x +z = 0, oriented by upward-slanting normal vectors, that is cut by the planes y = 1, y = 4, and 2 = 0. Find the flux of F(x, y, z) = (xy, 3x2², yz) across S.
Let S be the portion of the cylinder 2 - 6x +z = 0, oriented by upward-slanting normal vectors, that is cut by the planes y = 1, y = 4, and 2 = 0. Find the flux of F(x, y, z) = (xy, 3x2², yz) across S.
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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Question
![7:51
Let S be the portion of the cylinder x² - 6x +z = 0, oriented
by upward-slanting normal vectors, that is cut by the planes y = 1,
y = 4, and z = 0. Find the flux of
F(x, y, z) = (xy, 3xz², yz)
across S.
2 = .... .... - 71%
O
|||](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F21c80966-ad51-4ffd-9ff3-5ffc5d122574%2F9aa23217-9efb-4e88-8a65-f7429e3bf11b%2F1otrg2i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7:51
Let S be the portion of the cylinder x² - 6x +z = 0, oriented
by upward-slanting normal vectors, that is cut by the planes y = 1,
y = 4, and z = 0. Find the flux of
F(x, y, z) = (xy, 3xz², yz)
across S.
2 = .... .... - 71%
O
|||
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