Let S be the surface z = 9 − x² − y² above the xy plane. Use Stokes's Theorem to compute [[ curt F curl F. do, where F(x, y, z) = (y + 2z, z + 2x, x + 2y + e²²+y²+z²), and the unit normal vector to S is pointing upward.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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Question 6
Let S be the surface z = 9 - x² - y² above the xy plane. Use Stokes's Theorem to compute
JS
S
curl F. do,
where F(x, y, z) = (y + 2z, z + 2x, x + 2y + e²²+y²+z²), and the unit normal vector to S' is
pointing upward.
Transcribed Image Text:Question 6 Let S be the surface z = 9 - x² - y² above the xy plane. Use Stokes's Theorem to compute JS S curl F. do, where F(x, y, z) = (y + 2z, z + 2x, x + 2y + e²²+y²+z²), and the unit normal vector to S' is pointing upward.
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