The closed path C consists of six line segments. Starting at (3,0,0), it goes through the points (3,3,0), (0,3,0), (0,3,3), (0,0,3), (0,0,0), and ends at (3,0,0). Note that C is oriented counterclockwise when viewed from above, as shown in the figure below. Use Stokes' Theorem to find the work done along the path C by the force Path C ZA x+e F(x,y,z)= x-2yz+sin(y") 3. x +z* (0,3,3) That is, find F dy. 3 (3,3,0)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The closed path C consists of six line segments. Starting at (3,0,0), it goes through the points
(3,3,0), (0,3,0), (0,3,3), (0,0,3), (0,0,0), and ends at (3,0,0). Note that Cis oriented
counterclockwise when viewed from above, as shown in the figure below.
Use Stokes' Theorem to find the work
done along the path C by the force
Path C
ZA
x+e
F(x,y,z)= x-2yz+sin(y)
3
x² +z*
(0,3,3)
That is, find F-dy.
(3,3,0)
Transcribed Image Text:The closed path C consists of six line segments. Starting at (3,0,0), it goes through the points (3,3,0), (0,3,0), (0,3,3), (0,0,3), (0,0,0), and ends at (3,0,0). Note that Cis oriented counterclockwise when viewed from above, as shown in the figure below. Use Stokes' Theorem to find the work done along the path C by the force Path C ZA x+e F(x,y,z)= x-2yz+sin(y) 3 x² +z* (0,3,3) That is, find F-dy. (3,3,0)
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