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1. Mark Twain sat on the deck of a river steamboat. 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, 1o feet above the water's surface. The wheel's diameter is 18 ft and it completes one revolution every 10 seconds.

1. Mark Twain sat on the deck of a river steamboat. 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, 1o feet above the water's surface. The wheel's diameter is 18 ft and it completes one revolution every 10 seconds.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2.10.22 1. Mark Twain sat on the deck of a river steamboat. As the paddlewheel turned, a point oln 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, 1o 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 oln 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, 1o 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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