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Unformatted text preview: 1800W071 MAT 1800 Final Exam SHOW ALL WORK IN A BLUE BOOK: Only minimal credit will be awarded for answers without supporting work. 1. (10 pts.) Solve : 3 x x 1 x x + 4 3 2. (8 pts.) Find the domain of the function given by: f ( x ) = 2 x + ln (2 x + 1) +sin 1 x 3. (12 pts.) Let f ( x ) = x 2 4 x + 7 and g ( x ) = 5 3 x 2 . Find and simplify completely: (a) ( f g ) ( x ) (b) f ( x + h ) f ( x ) h 4. (8 pts.) Let f ( x ) = 6 x + 4 4 x + 5 . Find f 1 ( x ) , where f 1 is the inverse function of f. 5. (8 pts.) An equilateral triangle has a height of 10 feet. How long is one of its sides? 6. (10 pts.) In an electrical component, the current C (measured in amps) owing through it, is a function of its temperature T (measured in degrees celsius) . The relationship is given by C ( T ) = 2 T T 2 + 5 . Find the temperature at which the component will allow the maximum current to ow through it....
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This document was uploaded on 04/19/2011.
- Spring '09