Friday, November 14, 2014

Math 402 (fall 2014): Chapter 14 quizzes


 
 
Three different solutions have been provided for Quiz 26. The first simply uses a straightforward parameterization of C for substitution in the line integral, followed by evaluation. No use is made of the fact that F is conservative. The second solution first shows that F is conservative and then computes a potential function; the Fundamental Theorem of Calculus for Line Integrals is then applied. The third solution also depends on F being conservative and invokes path independence. The given parabolic path is discarded in favor of a straight-line path, greatly simplifying the line integral.
 


 
These three solutions for Quiz 27 follow the same pattern as the solutions for Quiz 26. See the note preceding the Quiz 26 solutions, directly above.
 


 

Math 129 (fall 2014): Quizzes VI