MATH 126 Final: MATH 126 UW Final Exam Winter 2013
Document Summary
Ta"s name: this exam contains 9 problems. Check that you have a complete exam: this exam is closed book. 2 11 sheet of notes and a non-graphing, scienti c calculator. Do not share notes or calculators: unless otherwise speci ed, you should give your answers in exact form. (for example, 2 are in exact form and are preferable to their decimal approximations. ) Justify your answer. (b) let v = h4, 5, 6i and n be a vector orthogonal to the plane containing the points (2, 2, 2), (1, 0, 0), and (2, 3, 7). Find the vector projection of v along n. Page 2 of 9: (15 points) consider the vector function r(t) = (cid:28)2t, 3 t3/2(cid:29) , for t 0. (a) calculate the unit tangent vector t(t) . (b) give the equation of the normal plane at t = 1. (c) compute the curvature (t) and lim t the curve.
