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Unformatted text preview: padilla (tp5647) Homework08 Fouli (58320) 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 equal to the rate of change of C with respect to t ? 1. r = 2 2. r = 1 3. r = 2 4. r = 2 5. r = 6. r = 1 2 002 10.0 points Determine the value of dy/dt at x = 3 when y = 2 x 2 3 x and dx/dt = 2. 1. dy dt vextendsingle vextendsingle vextendsingle x =3 = 20 2. dy dt vextendsingle vextendsingle vextendsingle x =3 = 22 3. dy dt vextendsingle vextendsingle vextendsingle x =3 = 16 4. dy dt vextendsingle vextendsingle vextendsingle x =3 = 18 5. dy dt vextendsingle vextendsingle vextendsingle x =3 = 14 003 10.0 points A point is moving on the graph of xy = 6. When the point is at (3 , 2), its xcoordinate is increasing at a rate of 4 units per second. What is the speed of the ycoordinate at that moment and in which direction is it mov ing? 1. speed = 11 3 units/sec, decreasing y 2. speed = 8 3 units/sec, decreasing y 3. speed = 11 3 units/sec, increasing y 4. speed = 14 3 units/sec, increasing y 5. speed = 8 3 units/sec, decreasing y 6. speed = 14 3 units/sec, increasing 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 4 inches per second, determine the speed at which the volume, V , is increasing (in cubic inches per second) when the height is 2 inches....
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 Spring '09
 Fouli

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