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MAT 1322F Winter2004

# MAT 1322F Winter2004 - MAT 1322 Winter 2005 SAMPLE...

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MAT 1322, Winter 2005 SAMPLE EXAMINATION MAX = 46 points This sample exam is last year’s fnal exam slightly modifed to ft this years’s Format. The correct answers oF multiple choice problems are indicated by bold-type . Time: 3 hours Only TI 30-type calculators are permitted. Notes or books are not permitted. Problems 1-4 [4 points each] require detailed and clearly presented solutions. Show all work. Problems 5-19 [2 points each] are multiple choice. Circle the correct answer. Numerical answers are rounded to the given decimal. Work the problems in the space provided. Use the back-pages for rough work if necessary. A blank sheet for rough work is attached at the end of the questionnaire. Do not use any other paper. Work on multiple choice and answer-box problems will be examined only in case of suspected fraud. A blank sheet for rough work is attached at the end of the questionnaire.

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1. [4 points] (a)[1 point] Sketch the region R of the plane enclosed by the curves y = x and y = x . (b)[2 points]. Find the volume of the solid obtained by rotating the region R around the line y =2. Sketch the solid showing a typical slice you use to set up the integral.
2. [4 points] A tank initially contains 800 litres of pure water and two pipes are connected to the tank.

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MAT 1322F Winter2004 - MAT 1322 Winter 2005 SAMPLE...

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