Paul's Online Math Notes
[Notes]
Notice

On August 21 I am planning to perform a major update to the site. I can't give a specific time in which the update will happen other than probably sometime between 6:30 a.m. and 8:00 a.m. (Central Time, USA). There is a very small chance that a prior commitment will interfere with this and if so the update will be rescheduled for a later date.

I have spent the better part of the last year or so rebuilding the site from the ground up and the result should (hopefully) lead to quicker load times for the pages and for a better experience on mobile platforms. For the most part the update should be seamless for you with a couple of potential exceptions. I have tried to set things up so that there should be next to no down time on the site. However, if you are the site right as the update happens there is a small possibility that you will get a "server not found" type of error for a few seconds before the new site starts being served. In addition, the first couple of pages will take some time to load as the site comes online. Page load time should decrease significantly once things get up and running however.

Paul
August 7, 2018

Calculus III - Assignment Problems
 Multiple Integrals Previous Chapter Next Chapter Surface Integrals Fundamental Theorem for Line Integrals Previous Section Next Section Green's Theorem

## Conservative Vector Fields

For problems 1  4 determine if the vector field is conservative.

1.

2.

3.

4.

For problems 5  11 find the potential function for the vector field.

5.

6.

7.

8.

9.

10.

11.

12. Evaluate  where  and C is the line segment from  to .

13. Evaluate  where  and C the upper half of  with clockwise rotation.

14. Evaluate  where  and C is the portion of  from  to .

15. Evaluate  where  and C is the line segment from  to .

16. Evaluate  where  and C is the spiral given by  for .

17. Evaluate  where   and C is the curve shown below.

18. Evaluate  where   and C is the curve shown below.

 Fundamental Theorem for Line Integrals Previous Section Next Section Green's Theorem Multiple Integrals Previous Chapter Next Chapter Surface Integrals

[Notes]

 © 2003 - 2018 Paul Dawkins