Multivariable Calculus

Homework Assignment #11

Due Monday, Dec. 3rd, 5pm

Homework should be turned in at the BEGINNING OF CLASS. All problem numbers refer to McCallum's book, the required text for the course. You should write up solutions neatly to all problems, making sure to SHOW ALL YOUR WORK. A nonempty subset will be graded. You are strongly encouraged to work on these problems with other classmates, although the solutions you turn in should be your own work.

Section 18.1
Problems:   2, 3, 4, 6, 7, 19

Section 18.2
Problems:   2, 5, 9, 10

Note: Take notice of the direction the curve C is traversed in these line integrals. Changing the direction of the curve gives the negative of the line integral. This may be easier than trying to alter your parametrization to make it move in the right direction.

Section 18.3
Problems:   4, 7, 10, 13

Note: For problem 4, provide the potential function for G if you think it is a gradient field. If not, explain why. For problems 7 and 10, find a potential function and use the Fundamental Theorem of Line Integrals.

Section 18.4
Problems:   4, 10, 11, 12