Electromagnetism problem set 2 (PDF)

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1. Are these statements always true? (Prove)
If  F  0  F  G
If   F  0  F  
 
2. Calculate  F for F  sin  cos e r  r 2 sin 2 e  re , in the point (1, , ).
2 3

3. What is  if   r sin  cos 

Find the jacobian matrix for f at (x,y).

5. Find the jacobian matrix for

6. Chain rule of Jacobi:


Find the

be a differentiable function assume that

in term of

if and only if

, x ,y

7. Find the osculating page on the surface which is made of rotating z=x^2 around
the z axis in the point (2,2,3).

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