Problems 8 (10-13)

Problems 8 (10-13) - mao(tm23477 – Hw 08 – gualdani...

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Unformatted text preview: mao (tm23477) – Hw 08 – gualdani – (57180) 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 10 foot ladder is leaning against a wall. If the foot of the ladder is sliding away from the wall at a rate of 10 ft/sec, at what speed is the top of the ladder falling when the foot of the ladder is 8 feet away from the base of the wall? 1. speed = 40 3 ft/sec 2. speed = 41 3 ft/sec 3. speed = 38 3 ft/sec 4. speed = 14 ft/sec 5. speed = 13 ft/sec 002 10.0 points A rock is thrown into a still pond and causes a circular ripple. If the radius of the ripple is increasing at a rate of 6 ft/sec, at what speed is the area of the ripple increasing when its radius is 5 feet? 1. speed = 63 sq. ft/sec 2. speed = 60 π sq. ft/sec 3. speed = 62 π sq. ft/sec 4. speed = 63 π sq. ft/sec 5. speed = 61 sq. ft/sec 6. speed = 61 π sq. ft/sec 7. speed = 60 sq. ft/sec 8. speed = 64 sq. ft/sec 003 (part 1 of 2) 10.0 points A point is moving on the graph of 5 x 3 + 3 y 3 = xy. When the point is at P = parenleftBig 1 8 , 1 8 parenrightBig , its x-coordinate is decreasing at a speed of 9 units per second. (i) What is the speed of the y-coordinate at that time? 1. speed y-coord = 64 units/sec 2. speed y-coord = 63 units/sec 3. speed y-coord =- 63 units/sec 4. speed y-coord = 62 units/sec 5. speed y-coord =- 64 units/sec 004 (part 2 of 2) 10.0 points (ii) In which direction is the y-coordinate mov- ing at that time? 1. direction decreasing y 2. direction increasing y 005 10.0 points A street light is on top of a 10 foot pole. Joe, who is 6 feet tall, walks away from the pole at a rate of 2 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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Problems 8 (10-13) - mao(tm23477 – Hw 08 – gualdani...

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