# 159E2-F2011 - MA 15900 EXAM 2 FALL 2011 1. Find the center...

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MA 15900 EXAM 2 FALL 2011 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. Hooke’s law states that the force F required to stretch a spring x units beyond its natural length is directly proportional to x . A force of 6 pounds stretches a certain spring from its natural length of 20 inches to a length of 22 inches. Find the force that will stretch the spring from its natural length to 29 inches. 1) 87 pounds 2) 58 3 pounds 3) 29 3 pounds 4) 87 11 pounds 5) 3 pounds 6) 21 11 pounds 7) 12 7 pounds 8) 4 3 pounds 9) None of the above 3. Solve for x . Find all solutions. x 3 64 = 0 1) x = 4 2) x = 4 3) x = 4, 4 4) x = 2 ± 2 3 i 5) x = 4, 2 ± 2 3 i 6) x = 4, 2 ± 2 3 i 7) x = 2 ± 4 3 i 8) x = 4, 2 ± 4 3 i 9) x = 4, 2 ± 4 3 i

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MA 15900 EXAM 2 FALL 2011 2 4. Given f ( x ) = x 2 4 and g ( x ) = x + 2 , find ( g f )(7) . 1) 5 2) 3) 45 4) 45 5) 47 6) 47 7) 77 8) 77 9) None of the above 5. Find the domain of the function f ( x ) = 1 x 2 5 x 14 . 1) ( −∞ , 2] [7, ) 2) [ 2, ) 3) [ 2,7] 4) [7, ) 5) ( , 2) (7, ) 6) ( 2, ) 7) ( 2,7) 8) (7, ) 9) None of the above 6. Solve the inequality. x + 6 + 17 25 1) 14,2 ( ) 2) 14,2 [ ] 3) 14, [ ) 4) , ( ) 5) , 48 ( ] 2, [ ) 6) [ ) 7) 48,2 [ ] 8) 48,2 ( ) 9) None of the above