lamp person Due to to a Halloween spell, the person's height is shrinking. At the moment when they are 6 feet tall, their height is shrinking at a rate of 2 feet/second. (a) How long will the person's shadow be at the moment when they are 6 feet tall? (b) At what rate is the length of the person's shadow changing at the moment they are 6 feet tall? Is their shadow growing or shrinking at that moment? For full credit, include a “generic" diagram with all relevant variables labeled, and clearly state your goal and your given in terms of these variables. (This is described in the Day 29 Video Learning Module.) Lastly, give your conclusion in a sentence and do not forget units! (c) How is the rate of change of the person's shadow length related to how fast they are shrinking? Choose one and explain briefly using work from (b). They are equal. • One is a constant multiple of the other (they are proportional) • It also depends on the person's current height.

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 person is 28 feet away from a 30 foot tall street lamp, which creates a shadow (the thick line on the diagram below)

lamp
person
Due to to a Halloween spell, the person's height is shrinking. At the moment when they are 6
feet tall, their height is shrinking at a rate of 2 feet/second.
(a) How long will the person's shadow be at the moment when they are 6 feet tall?
(b) At what rate is the length of the person's shadow changing at the moment they are 6 feet
tall? Is their shadow growing or shrinking at that moment?
For full credit, include a “generic" diagram with all relevant variables labeled, and clearly
state your goal and your given in terms of these variables. (This is described in the Day 29
Video Learning Module.) Lastly, give your conclusion in a sentence and do not forget units!
(c) How is the rate of change of the person's shadow length related to how fast they are
shrinking? Choose one and explain briefly using work from (b).
• They are equal.
• One is a constant multiple of the other (they are proportional)
• It also depends on the person's current height.
Transcribed Image Text:lamp person Due to to a Halloween spell, the person's height is shrinking. At the moment when they are 6 feet tall, their height is shrinking at a rate of 2 feet/second. (a) How long will the person's shadow be at the moment when they are 6 feet tall? (b) At what rate is the length of the person's shadow changing at the moment they are 6 feet tall? Is their shadow growing or shrinking at that moment? For full credit, include a “generic" diagram with all relevant variables labeled, and clearly state your goal and your given in terms of these variables. (This is described in the Day 29 Video Learning Module.) Lastly, give your conclusion in a sentence and do not forget units! (c) How is the rate of change of the person's shadow length related to how fast they are shrinking? Choose one and explain briefly using work from (b). • They are equal. • One is a constant multiple of the other (they are proportional) • It also depends on the person's current height.
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