## 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.