HW 8 Gagan

# HW 8 Gagan - Nanda, Gagan Homework 8 Due: Oct 14 2004, 3:00...

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Nanda, Gagan – Homework 8 – Due: Oct 14 2004, 3:00 am – Inst: R Gompf 1 This print-out should have 22 questions. Multiple-choice questions may continue on the next column or page – Fnd all choices before answering. The due time is Central time. 001 (part 1 of 1) 10 points ±ind the rate at which the surface area of a cube is changing with respect to its side length x when x = 4 cm. 1. rate = 16 π cm 2 / cm 2. rate = 32 π cm 2 / cm 3. rate = 12 cm 2 / cm 4. rate = 48 cm 2 / cm 5. rate = 8 cm 2 / cm 002 (part 1 of 1) 10 points A ladder 10 feet long rests against a vertical wall. Let θ be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does x change with respect to θ when θ = π 3 ? 1. 4 ft/rad 2. 8 ft/rad 3. 3 ft/rad 4. 1 ft/rad 5. 5 ft/rad 003 (part 1 of 1) 10 points Determine the value of dy/dt at x = 2 when y = 3 x 3 - 4 x and dx/dt = 2. 1. dy dt f f f x =2 = 63 2. dy dt f f f x =2 = 65 3. dy dt f f f x =2 = 66 4. dy dt f f f x =2 = 62 5. dy dt f f f x =2 = 64 004 (part 1 of 2) 10 points A point is moving on the graph of 5 x 3 + 4 y 3 = xy. When the point is at P = 1 9 , 1 9 · , its x -coordinate is decreasing at a speed of 5 units per second. (i) What is the speed of the y -coordinate at that time? 1. speed y -coord = - 11 units/sec 2. speed y -coord = 9 units/sec 3. speed y -coord = 11 units/sec 4. speed y -coord = - 10 units/sec 5. speed y -coord = 10 units/sec 005 (part 2 of 2) 10 points (ii) In which direction is the y -coordinate mov- ing at that time?

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Nanda, Gagan – Homework 8 – Due: Oct 14 2004, 3:00 am – Inst: R Gompf 2 1. direction decreasing y 2. direction increasing y 006 (part 1 of 1) 10 points A street light is on top of a 10 foot pole. A person who is 5 feet tall walks away from the pole at a rate of 2 feet per second. At what
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## HW 8 Gagan - Nanda, Gagan Homework 8 Due: Oct 14 2004, 3:00...

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