Math 208 (Lutz) - Quiz #10, 11/08/13
Name:
Directions: This quiz has 2 questions, for a total of 18 points. Solve each problem carefully. You must
show ALL of your work in order to earn full credit.
!
1. (8 points) Consider the following figure,
! which shows !a vector field F and two oriented curves C1 and
C2 . Explain whether the line integrals C1 F! · d!r and C2 F! · d!r are positive, negative, or zero.
2. (10 points) Evaluate the line integral
(−1, −1) to (1, 1).
!
C
F! · d!r, where F! = ex!i, and C is the curve along x = y 3 from