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Winter 2008

# Winter 2008 - y x x 1800W081 MAT 1800 Final Exam SHOW ALL...

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x y x 1800W081 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 ° 1 + x x + 1 < 1 2. (8 pts.) Find the domain of the function given by f ( x ) = e x 2 ° 1 + ln (4 x ° x 3 ) + cos x 3. (10 pts.) Let f ( x ) = x 2 ° 4 x + 5 and g ( x ) = 6 ° x 2 : Find and simplify completely (a) ( g ± f ) ( x ) (b) f ( x + h ) ° f ( x ) h 4. (6 pts.) Let f ( x ) = 8 x ° 4 2 x + 6 : Find f ° 1 ( x ) ; where f ° 1 is the inverse function of f: 5. (10 pts.) A painter has 200 feet of very thin tape (shown here as solid black lines). He is going to use it to enclose a large rectangle on a basketball court. He is also going to use a piece of tape to partition the rectangle in half (see °gure). Express the area A of the large rectangle as a function of x . 6. (10 pts.) A manufacturer of radios has daily production costs of C = 800 ° 10 x + 0 : 25 x 2 where C is the total cost (in dollars) and x is the number of radios produced. How many radios should be produced each day to yield a minimum cost?

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Winter 2008 - y x x 1800W081 MAT 1800 Final Exam SHOW ALL...

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