The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages.


Problems

Test the following vector fields for existence of a potential function and find the potential function when there is one.

13_vector_calculus-163.gif

13_vector_calculus-164.gif

13_vector_calculus-165.gif

13_vector_calculus-166.gif

13_vector_calculus-167.gif

13_vector_calculus-168.gif

13_vector_calculus-169.gif

13_vector_calculus-170.gif

13_vector_calculus-171.gif

13_vector_calculus-172.gif

13_vector_calculus-173.gif

13_vector_calculus-174.gif

13_vector_calculus-175.gif

13_vector_calculus-176.gif

13_vector_calculus-177.gif

13_vector_calculus-178.gif

13_vector_calculus-179.gif

13_vector_calculus-180.gif

13_vector_calculus-181.gif

13_vector_calculus-182.gif

13_vector_calculus-183.gif

In Problems 22-31 solve the given exact differential equation.

13_vector_calculus-184.gif

13_vector_calculus-185.gif

13_vector_calculus-186.gif

13_vector_calculus-187.gif

13_vector_calculus-188.gif

13_vector_calculus-189.gif

13_vector_calculus-190.gif

13_vector_calculus-191.gif

13_vector_calculus-192.gif

13_vector_calculus-193.gif

13_vector_calculus-194.gif

13_vector_calculus-195.gif

13_vector_calculus-196.gif


Last Update: 2006-11-25