159E2-S2009

# 159E2-S2009 - MA 15900 EXAM 2 SPRING 2009 1 C(3,1 r = 30 2...

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MA 15900 EXAM 2 SPRING 2009 1 1. Find the center and radius of the circle with the following equation: 3 x 2 + 3 y 2 + 18 x + 6 y 60 = 0 . 1) C (3,1), r = 30 2) C (3,1), r = 30 3) C ( 3, 1), r = 30 4) C ( r = 30 5) C (9,3), r = 110 6) C (9,3), r = 110 7) C ( 9, 3), r = 110 8) C ( 9, 3), r = 110 9) None of the above 2. Find an equation of the line that has x-intercept (–5, 0) and y-intercept (0, –3). 1) y = 3 5 x 3 2) y = 3 5 x 5 3) y = 5 3 x 3 4) y = 5 3 x 5 5) y = 3 5 x 3 6) y = 3 5 x 5 7) y = 5 3 x 3 8) y = 5 3 x 5 9) None of the above 3. Solve the equation. 3 x 2 + x 5 = 0 1) x = 5 3 , 1 2) x = 6, 5 3 3) x = 1 6 ± 1 6 59 4) x = 1 6 ± 1 6 59 i 5) x = 1 6 ± 1 6 61 6) x = 1 6 ± 1 6 61 i 7) x = 1 6 ± 1 3 15 8) x = 1 6 ± 1 3 15 i 9) None of the above

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MA 15900 EXAM 2 SPRING 2009 2 4. Consider g ( x ) = 9 x x + 9 . Find g ( ) , given that a is a positive real number. Simplify your answer. 1) 9( a 9 ) a + 9 2) 3( a 3 ) a + 9 3) 3 2 + 9 a a + 9 4) 9( a 9 ) a 81 5) a 3 ) a 81 6) 3 2 + 9 a a 81 7) 9( a 9 ) a 9 8) a 3 ) a 9 9) 3 2 + 9 a a 9 5. Given f ( x ) = x 2 2 x + 4 and g ( x ) = x 7 , find ( f g )(5) . 1) 164 2) 116 3) 4 4) 8 5) 12 6) 18 7) 38 8) 124 9) None of the above
MA 15900 EXAM 2 SPRING 2009 3 6. Solve the inequality. 5 7 2 x 0 1) ( −∞ , 7 2 ) 2) ( , 7 2 ] 3) ( 7 2 , ) 4) [ 7 2 , ) 5) ( ,6) 6) ( ,6] 7) (6, ) 8) [6, ) 9) None of the above 7. Find all the points on the y

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159E2-S2009 - MA 15900 EXAM 2 SPRING 2009 1 C(3,1 r = 30 2...

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