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120 m The lighthouse has a light at the top that rotates. As the light rotates, the beam falls on a different por- tion of the cliffs. a. Write an expression that relates the angle, e, to the distance, d, of the light along the beach. b. The light makes a full rotation ev- ery 8 seconds. Write an expression that relates the time, t, to the dis- tance, d. c. Use your equation in part b to find the position, d, at each of the times in the table. d. What do you notice about how the distance changes? What does the distance at 2 seconds mean?

120 m The lighthouse has a light at the top that rotates. As the light rotates, the beam falls on a different por- tion of the cliffs. a. Write an expression that relates the angle, e, to the distance, d, of the light along the beach. b. The light makes a full rotation ev- ery 8 seconds. Write an expression that relates the time, t, to the dis- tance, d. c. Use your equation in part b to find the position, d, at each of the times in the table. d. What do you notice about how the distance changes? What does the distance at 2 seconds mean?

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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120 m The lighthouse has a light at the top that rotates. As the light rotates, the beam falls on a different por- tion of the cliffs. a. Write an expression that relates the angle, e, to the distance, d, of the light along the beach. b. The light makes a full rotation ev- ery 8 seconds. Write an expression that relates the time, t, to the dis- tance, d. c. Use your equation in part b to find the position, d, at each of the times in the table. d. What do you notice about how the distance changes? What does the distance at 2 seconds mean?
Transcribed Image Text:120 m The lighthouse has a light at the top that rotates. As the light rotates, the beam falls on a different por- tion of the cliffs. a. Write an expression that relates the angle, e, to the distance, d, of the light along the beach. b. The light makes a full rotation ev- ery 8 seconds. Write an expression that relates the time, t, to the dis- tance, d. c. Use your equation in part b to find the position, d, at each of the times in the table. d. What do you notice about how the distance changes? What does the distance at 2 seconds mean?
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