Winter 2009 - W09v.1 MAT 1800 Final Exam SHOW ALL WORK IN A...

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W09v.1 MAT 1800 Final Exam SHOW ALL WORK IN A BLUEBOOK: Only minimal credit will be awarded for answers without supporting work. #1 (10 pts.) Solve: 1 1 1 2 x x - < + #2 (8 pts.) Find the domain of the function: ( 29 2 16 3 3 x f x x - = - - #3 (10 pts.) Given that ( 29 1 x f x x = + and ( 29 2 1 g x x = - simplify the following completely: a) b) #4 (10 pts.) The path of a diver is given by 2 4 24 12 9 9 y x x = - + + where y is the height (in feet) and x is the horizontal (in feet) from the end of the diving board. a) What is the maximum height of the diver? b) How far from the end of the board is the diver when she is at maximum height? #5 (10 pts.) Graph ( 29 3 2 2 f x x x x = - + . Then find the average rate of change of this function from 1 2 2 to 3 x x = - = #6 (12 pts.) The number N of bacteria in a culture is modeled by the function ( 29 80 e kt N t = , where t is measured in hours. If there are 160 bacteria after 3 hours, find the exact time required for there to be 200 bacteria. #7 (12 pts.)
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Winter 2009 - W09v.1 MAT 1800 Final Exam SHOW ALL WORK IN A...

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