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(b) What is the value of dy dt 211 Number dy at the moment in question? Give its value with two decimals precision, paying attention to the sign. dt m/s

(b) What is the value of dy dt 211 Number dy at the moment in question? Give its value with two decimals precision, paying attention to the sign. dt m/s

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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A projector, laying on the ground, illuminates the wall of a building standing 5 m away. A person 2 m tall walks from the projector to the wall. We would like to determine the rate at which the person's shadow decreases the moment the person is 4 m from the wall, given that, at that moment, the person is walking toward the wall at 1.1 m/s. To solve this problem, let ï be the distance in meters between the walker and the wall, y the height of their shadow in meters, and t the time in seconds. (a) Sketch a diagram and use similar triangles to express y as a function of x . Y = 10/(5-x) (b) What is the value of dy dt Number m dy dt at the moment in question? Give its value with two decimals precision, paying attention to the sign. m/s
Transcribed Image Text:A projector, laying on the ground, illuminates the wall of a building standing 5 m away. A person 2 m tall walks from the projector to the wall. We would like to determine the rate at which the person's shadow decreases the moment the person is 4 m from the wall, given that, at that moment, the person is walking toward the wall at 1.1 m/s. To solve this problem, let ï be the distance in meters between the walker and the wall, y the height of their shadow in meters, and t the time in seconds. (a) Sketch a diagram and use similar triangles to express y as a function of x . Y = 10/(5-x) (b) What is the value of dy dt Number m dy dt at the moment in question? Give its value with two decimals precision, paying attention to the sign. m/s
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