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Unformatted text preview: rabbani (tar547) Homework08 Fouli (58395) 1 This printout should have 20 questions. Multiplechoice 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 = r 2 , C = 2 r . If r varies with time t , for what value of r is the rate of change of A with respect to t twice the rate of change of C with respect to t ? 1. r = 1 2. r = 2 3. r = 1 2 4. r = 2 5. r = 6. r = 2 002 10.0 points Determine the value of dy/dt at x = 2 when y = 3 x 2 4 x and dx/dt = 3. 1. dy dt vextendsingle vextendsingle vextendsingle x =2 = 30 2. dy dt vextendsingle vextendsingle vextendsingle x =2 = 26 3. dy dt vextendsingle vextendsingle vextendsingle x =2 = 28 4. dy dt vextendsingle vextendsingle vextendsingle x =2 = 32 5. dy dt vextendsingle vextendsingle vextendsingle x =2 = 24 003 10.0 points A point is moving on the graph of xy = 6. When the point is at (4 , 3 2 ), its xcoordinate is increasing at a rate of 3 units per second. What is the speed of the ycoordinate at that moment and in which direction is it mov ing? 1. speed = 17 8 units/sec, increasing y 2. speed = 9 8 units/sec, decreasing y 3. speed = 25 8 units/sec, increasing y 4. speed = 9 8 units/sec, decreasing y 5. speed = 25 8 units/sec, increasing y 6. speed = 17 8 units/sec, decreasing y 004 10.0 points The dimensions of a cylinder are changing, but the height is always equal to the diameter of the base of the cylinder. If the height is increasing at a speed of 5 inches per second, determine the speed at which the volume, V , is increasing (in cubic inches per second) when the height is 4 inches....
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This note was uploaded on 04/13/2010 for the course M 408 K taught by Professor Jouve during the Fall '08 term at University of Texas at Austin.
 Fall '08
 JOUVE

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