4) Use Stokes theorem to evaluate SF.dr, where с F(x, y, z) = <.xy, yz, *x), where C is the triangle with vertices (1,0,0), (0,1,0), (0,0,1).

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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This is Calculus 3
4+
F3
4) Use Stokes theorem to evaluate SF.dr, where
с
F(x, y, z) = < xy, yz, kx), where C is the triangle with vertices
(1,0,0), (0,1,0), (0,0,1).
x
F4
R
0:-
F5
%
5
T
0 +
F6
6
D-
F7
Y
&
7
*4"
F8
U
8
F9
F10
(
9
F11
)
0
F12
P
Home
») &
End
Insert
Transcribed Image Text:4+ F3 4) Use Stokes theorem to evaluate SF.dr, where с F(x, y, z) = < xy, yz, kx), where C is the triangle with vertices (1,0,0), (0,1,0), (0,0,1). x F4 R 0:- F5 % 5 T 0 + F6 6 D- F7 Y & 7 *4" F8 U 8 F9 F10 ( 9 F11 ) 0 F12 P Home ») & End Insert
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