Assignment 16-solutions

Assignment 16-solutions - nanni (arn437) Assignment 16...

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Unformatted text preview: nanni (arn437) Assignment 16 guntel (54940) 1 This print-out should have 4 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points Find the total area under the graph of y = 6 x 3 for x 1 . 1. Area = 4 2. Area = 5 2 3. Area = 7 2 4. Area = 5. Area = 2 6. Area = 3 correct Explanation: The total area under the graph for x 1 is an improper integral whose value is the limit lim t integraldisplay t 1 6 x 3 dx . Now integraldisplay t 1 6 x- 3 dx =- 3 bracketleftBig x- 2 bracketrightBig t 1 . Consequently, Area = lim t 3 bracketleftBig 1- t- 2 bracketrightBig = 3 . 002 10.0 points Determine if the improper integral I = integraldisplay 3 2 ln x x dx converges, and if it does, compute its value. 1. I = (ln3) 2 2. I does not converge correct 3. I = 2(ln3) 2 4. I = 2 ln3 5. I = ln3 Explanation: The integral is improper because lim x + ln x x =- , so we have to consider lim t...
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Assignment 16-solutions - nanni (arn437) Assignment 16...

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