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.
I get 135/2.
2. Compute , 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.
I get 0.
4. Find 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.
I get 4pi.
6. Find for C a line segment from (0,2) to (3,0).
I get -7.