m116q02a - 1 c [email protected] MATHA116 Survey of Calculus...

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1 MATHA116, Survey of Calculus, Quiz #2 Solutions Updated on September 18, 2006 Get help whenever in doubt! c [email protected] D irection. IV-1. Please read each of the following questions carefully. Show your work as much as possible. No partial credit will be given without proper work shown. Write your answer above the Answer line. Use the back of each page should more space be needed. N Important: Direction. Q uestion IV-1. ( 30 points ) Let h be the function defined by h ( x ) = 3 + 2 5 - x . Find h ( x + 5). W ork IV-1. The input between the parentheses of h ( x + 5), we there eval- uate h ( x + 5) by replacing every appearance of x in h ( x ) by ( x + 5), as shown below. h ( x ) = 3 + 2 5 - x (1) h ( x + 5 ) = 3 + 2 p 5 - ( x + 5 ) = 3 + 2 - x (2) The answer is h ( x + 5) = 3 + 2 - x . Q uestion IV-2. ( 40 points ) Increased longevity and the aging of the baby boom generation—those born between 1946 and 1965—are the primary reasons for a rising median age. The median age (in years) of the U.S. population from 1900 through 2000 is approximated by the function f ( t ) = 1 . 3 t + 22 . 9 0 t 3 - 0 . 7 t 2
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