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| PAGE: 1151 | SET: Exercises | PROBLEM: 17 |
Work done by force 
in moving a particle along the path 
is 
.
Stokes theorem:
.
The function is 
.
If 
then 
.
.
Find the plane equation, for points 
and 
.
Let the equation of the plane is 
.
The point on the plane is 
.
The point 
on the plane is 
.
The point 
on the plane is 
Substitute 
, 
in 
.
Substitute 
in above expression.
The plane equation is 
.
.
Where 
, 
is the projection of the surface on the 
plane and 
is the plane equation.
.
.
Substitute in above expression.
.
is the projection of the surface 
on the 
plane.
is the region inside the points 
and 
.
From the points 
and 
.
.
.
The work done is 
.
The work done is 
.
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