159E2-S2010

159E2-S2010 - MA 15900 EXAM 2 SPRING 2010 1. Find an...

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MA 15900 EXAM 2 SPRING 2010 1 1. Find an equation of the line that passes through the point A (6, 3) and is perpendicular to the line y = 2 5 x + 2 . 1) y = 5 2 x 3 2 2) y = 5 2 x + 27 2 3) y = 2 5 x + 24 5 4) y = 2 5 x + 27 5 5) y = 2 5 x + 36 5 6) y = 5 2 x 3 2 7) y = 5 2 x + 27 2 8) y = 5 2 x + 18 9) None of the above 2. Find the domain of the function f . f ( x ) = 2 x x 3 9 x 1) ( −∞ ,2] 2) (0,2] 3) [2, ) 4) [2,3) 5) ( , 3) ( 3,2] 6) ( ,0) 7) [2,3) (3, ) 8) ( , ( 3,0) 9) [ 2,0) (0,3) (3, ) 3. Which of the following are true of the function f ( x ) = 4 x 2 ? I. f has a y - intercept at (2,0) II. The range of the function is ( ,4] III. The graph of f is decreasing on the interval ( ,0] 1) I 2) II 3) III 4) I and II 5) I and III 6) II and III 7) I, II, and III 8) Cannot be determined 9) None of the above
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MA 15900 EXAM 2 SPRING 2010 2 4. Find the equation of the horizontal asymptote of the function f and the interval(s) where the function f is increasing. f ( x ) = x 2 + 4 x 2 9 1) y = 4 9 , increasing : ( −∞ , 3) ( 3,0] 2) y = 0, increasing : ( , ( 3,0] 3) y = 1, increasing : ( , ( 3,0] 4) y = 4 9 , increasing : [0,3) (3, ) 5) y = 0, increasing : [0,3) (3, ) 6) y = 1, increasing : [0,3) (3, ) 7) y = 4 9 , increasing : ( ,0] 8) y = 0, increasing : ( 9) y = 1, increasing : ( 5. Find the center and radius of the circle with the following equation: 3 x 2 + 3 y 2 18 x + 12 y 72 = 0 . 1) C (3, 2), r = 37 2) C 2), r = 37 3) C (3, 2), r = 2 4) C (3, 2), r = 24 5) C (9, 6), r = 189 6) C (9, 6), r = 189 7) C 6), r = 3 8) C 6), r = 72 9) None of the above
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