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1) A7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 ft/sec. Assume the scenario can be modeled with right triangles. At what rate is the length of the person's shadow changing when the person is 16 ft from the lamppost? 20 ft 7 ft tall 5 ft/sec E distance from lampost shadow- length

1) A7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 ft/sec. Assume the scenario can be modeled with right triangles. At what rate is the length of the person's shadow changing when the person is 16 ft from the lamppost? 20 ft 7 ft tall 5 ft/sec E distance from lampost shadow- length

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1) A7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 ft/sec. Assume the scenario can be modeled with right triangles. At what rate is the length of the person's shadow changing when the person is 16 ft from the lamppost? 20 ft 7 ft tall 5 ft/sec distance from lampost - shadow- length 2) Identify all known and unknown variables and constants that are referenced in the word problem. For example, you could say "x = the distance from earth to mars, the radius of earth is a constant, and dx/dt = rate of change in the distance from earth to mars. The problem gives us that dx/dt = -3 when x = 7." 3) Which of the values in part 2 is the question asking you to solve for? For example, you could say "It is asking to solve for dy/dt." 4) What formulas/equations would you use to help you solve is equation and why? For example, you could say "I'd use the formula A = 0.5BH for the area of a triangle because those are the relevant equations quantities involved in the problem. Then I can implicitly differentiate the problem in order to find dB/dt.
Transcribed Image Text:1) A7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 ft/sec. Assume the scenario can be modeled with right triangles. At what rate is the length of the person's shadow changing when the person is 16 ft from the lamppost? 20 ft 7 ft tall 5 ft/sec distance from lampost - shadow- length 2) Identify all known and unknown variables and constants that are referenced in the word problem. For example, you could say "x = the distance from earth to mars, the radius of earth is a constant, and dx/dt = rate of change in the distance from earth to mars. The problem gives us that dx/dt = -3 when x = 7." 3) Which of the values in part 2 is the question asking you to solve for? For example, you could say "It is asking to solve for dy/dt." 4) What formulas/equations would you use to help you solve is equation and why? For example, you could say "I'd use the formula A = 0.5BH for the area of a triangle because those are the relevant equations quantities involved in the problem. Then I can implicitly differentiate the problem in order to find dB/dt.
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