question 6
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Math 1 mathematics methods for engineersTRANSCRIPT
MATHEMATICS METHODS FOR ENGINEERING
QUESTION 6:
Verify Stokes’s theorem for the vector and the surface S represented by the come
where
Let us proof that
We now consider the surface integral, we have so can now calculate the .
+ +
A normal vector of S is Hence .
Now ,using polar coordinates defined by and denoting the projection of into the by R, we thus obtain: