surex5 - MAC2233 Final A (7 pts) 1. Given y 2 x2 + 3x = 3y...

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MAC2233 Final A (7 pts) 1. Given y 2 x 2 + 3 x = 3 y 3 , y 0 is given by: A. 2 xy 2 +3 9 y 2 - 2 yx 2 B. 2 xy 2 +3 9 y 2 +2 yx 2 C. 2 xy 2 - 3 9 y 2 - 2 yx 2 D. 2 xy 2 +3 9 y 3 +2 yx 2 E. 2 xy 2 +3 9 y 2 - 2 y 2 x 2 (7 pts) 2. Given h ( x ) = (4 x 2 - 3 x ln x ) 3 , h 0 (1) is equal to: A. 120 B. 80 C. 240 D. 180 E. 360 (7 pts) 3. The definite integral R 2 - 2 5 x 3 - 6 x dx is equal to: A. 11 6 B. - 11 6 C. 5 6 D. 7 6 E. 0 (7 pts) 4. An investor places $3000 in an account which compounds quarterly at a standard rate of 8%; how long will it take for his investment to double? A. ln 2 4 ln 1 . 02 years B. ln 6000 3000 ln 1 . 02 years C. ln 6000 12 , 000 ln 1 . 02 years D. ln 2 4 ln 3 years E. ln 2 ln 1 . 02 years
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(7 pts) 5. Given f ( x ) = 2 xe - x , which of the following statements are true: I. f ( x ) 0 for all x II. the function is decreasing for x > 1 III. the function is concave upward on (2 , + ) IV. there is an inflection point at x = 2 A. only III B. only II and III C. only II and IV
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This note was uploaded on 12/27/2011 for the course MAC 2233 taught by Professor Smith during the Spring '08 term at University of Florida.

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surex5 - MAC2233 Final A (7 pts) 1. Given y 2 x2 + 3x = 3y...

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