MATH 1535-253 Calculus 3 Exam 3 Name 24 November 2012 Directions: Solve each of the following problems carefully, clearly and neatly. Show all work for full credit 1. Sketch the curve and give the orientation. (a)å¼t) = r2 16 4 2. Represent the plane curve-ä¸ä¸= 1 by a vector-valued function. 3. A baseball, hit 3 feet above the ground, leaves the bat at an angle of 45° and is caught by an outfielder 3 feet above the ground and 300 feet from home plate. What is the initial speed of the ball, and how high does it rise? 4. Given r(t) = find the vectors T., N, B and aT-aN at the point 0. 5. Find the curvature K of the curve r(t) =.
