Each problem is worth 2 points. You must show a valid method of obtaining your answers for credit. Please do not communicate with others regarding these problems until after you've turned your quizzes in.
1. Compute  ,
where S is the portion of 2x+3y+z=6 in the first octant.
,
where S is the portion of 2x+3y+z=6 in the first octant.
I get 135/2.
 
 
2. Compute  ,
where C is the line segment beginning at (0,2) and ending at (3,0).
,
where C is the line segment beginning at (0,2) and ending at (3,0).
I get -4. [Corrected 8:35am 7/25/2002]
 
 
3. Evaluate  ,
where S is the portion of the surface z=x2+y2 inside
x2+y2=25, along with the disc centered on the z axis
of radius 5 in the plane z=25.
,
where S is the portion of the surface z=x2+y2 inside
x2+y2=25, along with the disc centered on the z axis
of radius 5 in the plane z=25.
I get 0.
 
 
4. Find  where S is the portion of z=x2+y2 inside x2+y2=25.
where S is the portion of z=x2+y2 inside x2+y2=25.
I get 0.
 
 
5. Evaluate  where C is the circle x2+y2=4.
where C is the circle x2+y2=4.
I get 4pi.
 
 
6. Find  for C a line segment from (0,2) to (3,0).
for C a line segment from (0,2) to (3,0).
I get -7.