hw10 - sakerwalla (hs9229) – HW10 – milburn – (54685)...

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Unformatted text preview: sakerwalla (hs9229) – HW10 – milburn – (54685) 1 This print-out should have 20 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points A circle of radius r has area A and circum- ference C are given respectively by A = πr 2 , C = 2 πr . If r varies with time t , for what value of r is the rate of change of A with respect to t equal to the rate of change of C with respect to t ? 1. r = 2 π 2. r = π 2 3. r = 1 2 4. r = 1 5. r = π 6. r = 2 002 10.0 points A point is moving on the graph of 4 x 3 + 5 y 3 = xy. When the point is at P = parenleftBig 1 9 , 1 9 parenrightBig , its y-coordinate is increasing at a speed of 7 units per second. What is the speed of the x-coordinate at that time and in which direction is the x- coordinate moving? 1. speed = 14 units/sec , increasing x 2. speed = 40 3 units/sec , decreasing x 3. speed = 40 3 units/sec , increasing x 4. speed = 43 3 units/sec , increasing x 5. speed = 41 3 units/sec , decreasing x 6. speed = 43 3 units/sec , decreasing x 7. speed = 41 3 units/sec , increasing x 8. speed = 14 units/sec , decreasing x 003 10.0 points If the radius of a melting snowball decreases at a rate of 4 ins/min, find the rate at which the volume is decreasing when the snowball has diameter 4 inches. 1. rate = 64 π cu.ins/min 2. rate = 66 π cu.ins/min 3. rate = 62 π cu.ins/min 4. rate = 65 π cu.ins/min 5. rate = 63 π cu.ins/min 004 10.0 points A street light is on top of a 12 foot pole. Joe, who is 6 feet tall, walks away from the pole at a rate of 3 feet per second. At what speed is the tip of Joe’s shadow moving from the base of the pole when he is 12 feet from the pole?...
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This note was uploaded on 10/25/2011 for the course MATH 408K taught by Professor Millburn during the Spring '11 term at The University of Texas at San Antonio- San Antonio.

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hw10 - sakerwalla (hs9229) – HW10 – milburn – (54685)...

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