Dear Sarah,


Your score in Exam 2 is 68 out of 100

Everything was right except

#1: wrong ans, right (BUT TOO COMPLICATED, the whole point of this question is
to use the Fundamental Theorem of Line Integrals). The value is wrong.
You did not explain how you got it. Maple?
: -5 points

#4: WRONG way. Right answer a mere coincidence
:-10 points


#5: You used the whole sphere, rather the part x,y,z>0.
Due to a careless computational error you also got a negative answer.
This should have been suspiciious. If the integrand is positive
a negative answer is NONSENSE.
(-5 points for wrong integration region; -1 point for not realizing that a negative
answer is nonsense)
: -6 points

#8: Wrong ans. Started the right way, but a serious error. Your t-integration is
from 0 to 3. For a LINE SEGMENT, it is always from t=0 to t=1
: -5 points

#9:Wrong ans. Started the right way, but the region of integration is
x^2+y^2<9 NOT {0<x,y<3}. Also forgot to multiply by -1, since this is the DOWNWARD
direction
: -6 points








Best wishes,

  Dr. Z.