II. Let S be the portion of the cylinder x² - 6x + z = 4, 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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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II.
Let S be the portion of the cylinder x² - 6x + z = 4, 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.
Transcribed Image Text:II. Let S be the portion of the cylinder x² - 6x + z = 4, 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.
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