DearKhush,


Your score in Exam 2 is 84 out of 100

Your main weakness is the REGION OF INTEGRATION. Once you will realize
this weakness, and would be aware of it, you would ace it.

Also, READ THE QUESTION, #10 was perfect, EXCEPT that you circled
36, and what I asked for was the POINT .

You have a potential to do much better once you realize these issues.

Here are the details: everything was perfect EXCEPT

#5: You integrated over the WHOLE SPHERE, I told you x,y,z>0 : -4 points

#6: the theta integral is from Pi/2 to Pi NOT 0 to Pi: -4 points

#9: partially right way, but wrong answer due to a serious conceptual error
#the region of integration is the projection of the surface to the xy plane
that is the disc x^2+y^2<9. Also you did not multiply by -1, since I asked
for the DOWNWARD direction: -6 points

#10: I only asked for the POINT (in the final answers) not for the value: 
you circled the wrong thing: -2 points

Best wishes,

  Dr. Z.