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# Fall 2008 - F08v.1 MAT 1800 Final Exam SHOW ALL WORK IN A...

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F08v.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: #2 (8 pts.) Find the domain of the function: #3 (10 pts.) Given that and simplify the following completely: a) b) #4 (10 pts.) An open top box with a square base (see figure) is to be constructed from 84 square inches of plywood. The height of the box is 2 inches. What are the dimensions of the box? #5 (10 pts.) Graph . Then find the average rate of change of this function from to . #6 (12 pts.) The number N of bacteria in an antibiotic treated culture is modeled by the function , where t is measured in hours. If there are 20 bacteria left after 3 hours, find the exact time required for the there to be only 7 bacteria left. 3 3 1 4 x x x x < + - + ( 29 2 2 2 4 x x f x x - = - ( ( f x h f x h + - ( 29 1 1 f x x = ( 1 g x x = - ( 3 4 f x x x = - 4 x = 3 x = - x x 2 No top ( ( o x f g ( 140 e kt N t =

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#7 (12 pts.) Given that are roots of the equation find its complete solution set.
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