Multiple Choice. You may use a Calculator. 1. Convert the polar equation to rectangular form. a. b. c. 2y  3x = 2 d. 2x 3y = 2 e. None of these  2. Find for the curve given by and . a. b. c. d. e. 3. Convert the rectangular equation to polar form. a. b. c. d. e. None of these 4. Consider the given by the parametric equations = 4 and = 4. Use the graph of x y the curve to determine those points at which the curve is not smooth. a. (4, 0) and (4, 0) b. (1, 0), (0, 1), (1, 0), (0, c. (4, 0), (0, 4), (4, 0), (0, 1) 4) d. The curve is smooth everywhere. e. None of these 5. Consider the curve in the plane represented by and for . The slope of the x-y tangent to the curve at the point when is a. 20.086 b. 0.342 c. -0.005 d. -0.011 e. -0.03 Free Response: A Graphing Calculator may be used. 6. The flight of a paper airplane is modeled by the curve given by the parametric equations and for time in seconds and . (x and are measured in feet) t y a. Use a graphing utility to sketch the curve. Be sure to indicate orientation.
Multiple Choice. You may use a Calculator. 1. Convert the polar equation to rectangular form. a. b. c. 2y  3x = 2 d. 2x  3y = 2 e. None of these 2. Find for the curve given by and . a. b. c. d. e. 3. Convert the rectangular equation to polar form. a. b. c. d. e. None of these 4. Consider the given by the parametric equations x = 4 and y = 4. Use the graph of the curve to determine those points at which the curve is not smooth. a. (4, 0) and (4, 0) b. (1, 0), (0, 1), (1, 0), (0, 1) c. (4, 0), (0, 4), (4, 0), (0, 4) d. The curve is smooth everywhere. e. None of these 5. Consider the curve in the x-y plane represented by and for . The slope of the tangent to the curve at the point when is a. 20.086 b. 0.342 c. -0.005 d. -0.011 e. -0.03 Free Response: A Graphing Calculator may be used. 6. The flight of a paper airplane is modeled by the curve given by the parametric equations and for time t in seconds and . (x and y are measured in feet) a. Use a graphing utility to sketch the curve. Be sure to indicate orientation.
Unit%205%20Exam%20Review%20-%202010%20-%2010.1-10.5.docx