# 5.4 - mora-boellstorff (erm823) 5.4 Arledge (55875) 1 This...

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Unformatted text preview: mora-boellstorff (erm823) 5.4 Arledge (55875) 1 This print-out should have 9 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points Evaluate the integral I = integraldisplay / 3 parenleftBig 4 cos - 1 cos 2 parenrightBig d . 1. I =- 3 3 2. I = 1 3 correct 3. I = 3 3 4. I = 5 3 5. I =- 1 3 6. I =- 5 3 Explanation: Since 1 cos 2 = sec 2 , d d tan = sec 2 , we see that I = integraldisplay / 3 parenleftBig 4 cos - sec 2 parenrightBig d = bracketleftBig 4 sin - tan bracketrightBig / 3 = 2 3- 3 . Consequently, I = 1 3 . 002 (part 1 of 4) 10.0 points A Calculus student begins walking in a straight line from the RLM building towards the PCL Library. After t minutes his velocity v = v ( t ) is given (in multiples of 10 yards per minute) by the function whose graph is 2 4 6 8 10- 2 2 4 6- 2 t v How far is the student from the RLM build- ing at time t = 3? 1. dist = 70 yards 2. dist = 50 yards 3. dist = 80 yards 4. dist = 60 yards correct 5. dist = 100 yards Explanation: The student is walking towards the PCL Library whenever v ( t ) > 0 and towards RLM whenever v ( t ) < 0. The distance he has walked is given by 10 times the area between...
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## This note was uploaded on 02/02/2011 for the course M 408 S taught by Professor Alredge during the Fall '10 term at University of Texas at Austin.

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5.4 - mora-boellstorff (erm823) 5.4 Arledge (55875) 1 This...

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