Assignment 4-solutions

Assignment 4-solutions - nanni (arn437) – Assignment 4...

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Unformatted text preview: nanni (arn437) – Assignment 4 – guntel – (54940) 1 This print-out should have 7 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points A function h has graph 2 4- 2 2 4 on (- 3 , 4). If f ( x ) = integraldisplay x − 2 h ( t ) dt, ( x ≥ - 2) , which of the following is the graph of f on (- 3 , 4)? 1. 2 4- 2 2- 2 2. 2 4- 2 2- 2 3. 2 4- 2 2- 2 4. 2 4- 2 2- 2 5. 2 4- 2 2- 2 correct 6. 2 4- 2 2- 2 Explanation: Since f ( x ) is defined only for x ≥ - 2, there will be no graph of f on the interval (- 3 ,- 2). nanni (arn437) – Assignment 4 – guntel – (54940) 2 This already eliminates two of the possible graphs. On the other hand, f (- 2) = integraldisplay − 2 − 2 h ( x ) dx = 0 , eliminating two more graphs. Finally, by the Fundamental Theorem of Calculus, f ′ ( x ) = h ( x ) on (- 2 , 4), so f ( x ) will be increasing on any interval on which h > 0, and decreasing on any interval on which h < 0. To determine0....
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This note was uploaded on 09/19/2011 for the course M 408 taught by Professor Hodges during the Fall '08 term at University of Texas.

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Assignment 4-solutions - nanni (arn437) – Assignment 4...

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