Let S₂ be the portion of the paraboloid z = 9-4x² - 4y² on the first octant above the plane z = 1. Find the flux of F(x, y, z) = (−x² + x, y, 8x³ — z +9) across S₂ with an upward orientation.
Let S₂ be the portion of the paraboloid z = 9-4x² - 4y² on the first octant above the plane z = 1. Find the flux of F(x, y, z) = (−x² + x, y, 8x³ — z +9) across S₂ with an upward orientation.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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![Let S₂ be the portion of the paraboloid z = 9–4x² – 4y² on the first octant above the plane z = 1.
Find the flux of F(x, y, z) = (−x² + x, y, 8x³ — z +9) across S₂ with an upward orientation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F782dfd25-301a-488f-b0e0-d14020886c43%2Faba5ff44-5582-4751-b7e4-bae149805991%2F06deu0f_processed.png&w=3840&q=75)
Transcribed Image Text:Let S₂ be the portion of the paraboloid z = 9–4x² – 4y² on the first octant above the plane z = 1.
Find the flux of F(x, y, z) = (−x² + x, y, 8x³ — z +9) across S₂ with an upward orientation.
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