MATH 2007-Elementary Calculus II-Summer 2014Test 3 solutionJuly 17, 2014Calculators are not permitted. If the space isn’t enough, use the verso of your test paper.Your full name:Your student number:[Marks]1. Find parametric equations to represent the line segmentfromA= (-2,6) toB= (2,-1).
2. A curveCis defined in Cartesian coordinates by the implicit equationg(x, y) =x2+y2-2x+ 2y-2 = 0.(a) Find parametric equations,x=f(t) andy=g(t), to represent the curveC.
(b) Find the length of the curveC.q(dxdt)√sin