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Unformatted text preview: huang (jwh2377) Homework 1 Kushner (56640) 1 This printout should have 19 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points If the constant C is chosen so that the curve given parametrically by parenleftBig C 2 8 t 2 , Ct parenrightBig , t 3 , is the arc of the parabola y 2 = 8 x from (0 , 0) to (2 , 4), find the coordinates of the point P on this arc corresponding to t = 2. 1. P = parenleftBig 2 9 , 8 3 parenrightBig 2. P = parenleftBig 8 3 , 8 9 parenrightBig 3. P = parenleftBig 8 9 , 8 3 parenrightBig 4. P = parenleftBig 2 9 , 4 3 parenrightBig 5. P = parenleftBig 4 3 , 2 9 parenrightBig 6. P = parenleftBig 4 3 , 8 9 parenrightBig 002 10.0 points Find a Cartesian equation for the curve given in parametric form by x ( t ) = 2 cos 2 4 t , y ( t ) = 5 sin 2 4 t . 1. x 2 y 5 = 1 10 2. 2 x + 5 y = 10 3. 5 x 2 y = 10 4. 5 x + 2 y = 10 5. x 5 + y 2 = 1 10 6. x 5 y 2 = 1 10 003 10.0 points Let Q, R be the points where the ray of angle intersects circles centered at the origin as shown in 2 4 6 8 2 4 6 8 2 4 6 8 2 4 6 8 P R Q and let P be the point of intersection of the horizontal line through Q and the vertical line through R . As varies, P traces out a curve. Write this curve in parametric form ( x ( ) , y ( )) , 2 ....
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This note was uploaded on 02/18/2010 for the course PHYS 317L taught by Professor Lang during the Spring '10 term at University of Texas at Austin.
 Spring '10
 LANG
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