Use Stokes's Theorem to evaluate F. dr. In this case, C is oriented counterclockwise as viewed from abo F(x, y, z) = xyzi + yj + zk S: z = x², 0≤x≤ a, 0≤ y ≤a N is the downward unit normal to the surface.

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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Use Stokes's Theorem to evaluate
F. dr. In this case, C is oriented counterclockwise as viewed from above.
F(x, y, z) = xyzi + yj + zk
S: z = x², 0≤x≤ a, 0≤ y ≤a
N is the downward unit normal to the surface.
Transcribed Image Text:Use Stokes's Theorem to evaluate F. dr. In this case, C is oriented counterclockwise as viewed from above. F(x, y, z) = xyzi + yj + zk S: z = x², 0≤x≤ a, 0≤ y ≤a N is the downward unit normal to the surface.
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