MATH 317 Study Guide - Midterm Guide: Osculating Circle, Parametric Equation
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If you use the back of a page, write see back on the front of the page. April 25th, 2017: let ~r be the vector eld ~r = x~i + y ~j + z ~j and let r be the function r = |~r|. Let ~a be the constant vector ~a = a1 ~i + a2 ~j + a3 ~k. Answers must be expressed in terms of ~a, ~r, and r. there should be no x"s, y"s, or z"s in your answers. (a) 3 points div~r. April 25th, 2017 (c) 4 points curl(~r ~a) ~f(x, y) = h2xy cos(x2), sin(x2) sin(y)i is conservative. (b) 6 points find a potential function for ~f. Answer: (c) 2 points for the vector eld ~f from above compute rc of the graph x = sin(y) from y = /2 to y = . ~f d~r, where c is the part.
