Bigfoot wanders out of the mountains and onto a city street in Seattle. Weighing in at 441 fur-covered pounds and reaching a height of 8 feet, he looks like an unusually big grunge rocker. Suppose that the Big Guy, new to the Big City, walks quizzically toward a streetlight at a rate of 2 feet per second. If the light is at a height of 12 feet, at what rate is the length of Bigfoot’s shadow changing when he is 6 feet from the base of the lampost?
Picture: Equation: Rate: Find:
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Phil LaRupp blows up a spherical balloon. He recalls that the volume is 4/3πr3. In order for the radius to increase at 2 cm/sec, how fast must Phil blow air into the balloon when r = 3?
Picture: Equation: Rate: Find:
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Darth Vader’s spaceship is approaching the origin along the positive x-axis at 50 km/sec. Meanwhile, his daughter Ella’s spaceship is moving away from the origin along the positive y-axis at 80 km/sec. When Darth is at x = 1200 km and Ella is at y = 500 km, is the distance between them increasing or decreasing? At what rate?
Picture: Equation: Rate: Find:
f
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Fran Tick forgot to fill the faimly’s water tank in the shape of a cone which has a diameter of 6 m and depth of 5 m. If the water is 3 m deep when his parents get home, and is rising at 5 m/hr, at what rate is the volume changing?
Picture: Equation: Rate: Find:
f
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Chuck is on a cliff whose base is 50 feet from Mae Danerror. He throws his math book straight down so that the angle of elevation from Mae is changing at a constant rate of -0.01 rad/min. At what rate is the distance between the book and Mae changing when θ = 0.5 radians?
Page 1 of 5. Bigfoot wanders out of the mountains and onto a city. street in Seattle. Weighing in at 441 fur-covered. pounds and reaching a height of 8 feet, he looks like an. unusually big grunge rocker. Suppose that the Big Guy,. new to the Big City, walks quizzically toward a. streetlight at a rate of 2 feet per second. If the.
A receptacle is in the shape of an inverted square pyramid 10 inches in height and. with a 6 x 6 square base. The volume of such a pyramid is given by. (1/3)(area of the base)(height). Suppose that the receptacle is being filled with water at the rat
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