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# Q6 - Version 083 DGQ06 gilbert(55485 This print-out should...

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Version 083 – DGQ06 – gilbert – (55485) 1 This print-out should have 3 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. Remember to bubble in your EID and VERSION NUMBER. Otherwise it’s very difficult for me or for Quest to as- sign a grade. JEG 001 10.0 points Which one of the following conic sections has graph 1 2 3 4 - 1 - 2 1 2 - 1 - 2 - 3 - 4 1. 9 x 2 - 18 x - 4 y 2 - 8 y = 41 2. 4 x 2 - 8 x + 9 y 2 + 18 y = 23 correct 3. 4 x 2 - 8 x + 9 y 2 - 18 y = 23 4. 9 x 2 + 18 x - 4 y 2 - 8 y = 41 5. 9 x 2 - 18 x - 4 y 2 + 8 y = 41 6. 4 x 2 + 8 x + 9 y 2 + 18 y = 23 Explanation: The graph is a shifted ellipse centered at (1 , - 1) whose major axis has length 6 and minor axis has length 4. Thus one equation for this ellipse is ( x - 1) 2 9 + ( y + 1) 2 4 = 1 , which after expansion and simplification can be rewritten as 4 x 2 - 8 x + 9 y 2 + 18 y = 23 . keywords: graph, conic section, ellipse, shifted ellipse 002 10.0 points Find the x -intercept of the tangent line at P (3 , 1) to the graph of the curve defined parametrically by x ( t ) = 6 cos 2 t , y ( t ) = 2 sin t .

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Q6 - Version 083 DGQ06 gilbert(55485 This print-out should...

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