sample exam - MAT 1322 SAMPLE EXAMINATION Time 3 hours...

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MAT 1322 SAMPLE EXAMINATION Time: 3 hours Calculators are permitted. (Non-programmable, non-graphing, no differentiation or in- tegration capability.) Notes or books are not permitted. Work the problems in the space provided. Use the back-pages for rough work if necessary. Do not use any other paper. Show all work. Circle the correct answers for multiple choice problems. Numerical answers are rounded. Work on multiple choice problems will be examined in case of suspected fraud.
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1. [4 points] The finite region bounded by curves y = x 2 and y = 4 is rotated about the line y = - 2. Sketch the region. Find the volume of the resulting solid. Work .
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2. [4 points] An object is taken from an oven at a temperature of 300˚C to a room at 20˚C. Its temperature u = u ( t ) then decreases according to Newton’s law of cooling du dt = k ( u - 20). After 15 minutes its temperature is 200˚C. (a)Find the temperature u ( t ) = (b)When will the temperature reach 100˚C? t = (c)Sketch the graph of u ( t ) showing the values for t = 0 and as t → ∞ .
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