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Assignment 9-solutions

# Assignment 9-solutions - nanni(arn437 – Assignment 9 –...

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Unformatted text preview: nanni (arn437) – Assignment 9 – guntel – (54940) 1 This print-out should have 5 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Find the area under the graph of the func- tion f ( x ) = x 2 + 4 x on the interval [1 , 2]. 1. Area = 3 2 + 4 ln 2 correct 2. Area = 4 3 + 2 ln 2 3. Area = 2 + 2 ln 4 4. Area = 3 2 + 2 ln 2 5. Area = 2 + 4 ln 4 6. Area = 4 3 + 4 ln 4 Explanation: By definition, the area under the graph of f ( x ) = x 2 + 4 x = x + 4 x on [1 , 2] is given by integraldisplay 2 1 f ( x ) dx = integraldisplay 2 1 braceleftbigg x + 4 x bracerightbigg dx = bracketleftbigg 1 2 x 2 + 4 ln x bracketrightbigg 2 1 = 3 2 + 4(ln 2- ln 1) . Consequently, Area = 3 2 + 4 ln 2 . 002 10.0 points Find the area bounded by the graphs of f ( x ) = e x , g ( x ) = e- 2 x and the line y = 6. 1. Area = 3 2 (6 ln 6- 5) sq. units correct 2. Area = 3 4 (6 ln 6- 5) sq. units 3. Area = 9 (ln 6- 1) sq. units 4. Area =...
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Assignment 9-solutions - nanni(arn437 – Assignment 9 –...

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