Use Stokes's Theorem to evaluate b 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, Osysa N is the downward unit normal to the surface. 5

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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Use Stokes's Theorem to evaluate
4
a
3
F(x, y, z) = xyzi+yj + zk
S: z = x², 0 ≤x≤a, Osysa
N is the downward unit normal to the surface.
7
a
²/²
F. dr. In this case, C is oriented counterclockwise as viewed from above.
5
X
Transcribed Image Text:Use Stokes's Theorem to evaluate 4 a 3 F(x, y, z) = xyzi+yj + zk S: z = x², 0 ≤x≤a, Osysa N is the downward unit normal to the surface. 7 a ²/² F. dr. In this case, C is oriented counterclockwise as viewed from above. 5 X
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