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1. Mark Twain sat on the deck of a river steamboat. As the paddlewheel turned, a point on the paddle blade moved in such a way that its distance, d, from the water's surface was a sinusoidal function. When his stopwatch read 5 seconds, the point was at its highest, 16 feet above the water's surface. The wheel's diameter is 18 ft and it completes one revolution every 10 seconds. a. Sketch 2 periods of the graph of this function. b. Write the equation of the sinusoid. c. Use your equation to find the distance from the surface of the water after 28 seconds.

1. Mark Twain sat on the deck of a river steamboat. As the paddlewheel turned, a point on the paddle blade moved in such a way that its distance, d, from the water's surface was a sinusoidal function. When his stopwatch read 5 seconds, the point was at its highest, 16 feet above the water's surface. The wheel's diameter is 18 ft and it completes one revolution every 10 seconds. a. Sketch 2 periods of the graph of this function. b. Write the equation of the sinusoid. c. Use your equation to find the distance from the surface of the water after 28 seconds.

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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2.10.22 1. Mark Twain sat on the deck of a river steamboat. As the paddlewheel turned, a point on the paddle blade moved in such a way that its distance, d. from the water's surface was a sinusoidal function. When his stopwatch read 5 seconds, the point was at its highest, 16 feet above the water's surface. The wheel's diameter is 18 ft and it completes one revolution every 10 seconds. a. Sketch 2 periods of the graph of this function. b. Write the equation of the sinusoid. c. Use your equation to find the distance from the surface of the water after 28 seconds. If you use your calculator, please show what you did to get the answer.
Transcribed Image Text:2.10.22 1. Mark Twain sat on the deck of a river steamboat. As the paddlewheel turned, a point on the paddle blade moved in such a way that its distance, d. from the water's surface was a sinusoidal function. When his stopwatch read 5 seconds, the point was at its highest, 16 feet above the water's surface. The wheel's diameter is 18 ft and it completes one revolution every 10 seconds. a. Sketch 2 periods of the graph of this function. b. Write the equation of the sinusoid. c. Use your equation to find the distance from the surface of the water after 28 seconds. If you use your calculator, please show what you did to get the answer.
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