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Meagan is sitting in a rocking chair. The distance, d(t), between the wall and the rear of the chair varies sinusoidally with time t. At t = 1 s, the chair is closest to the wall and d(1) = 18 cm. At t = 1.75 s, the chair is farthest from the wall and d(1.75) = 34 cm. a) What is the period of the function, and what does it represent in this situation? b) How far is the chair from the wall when no one is rocking in it? c) If Meagan rocks back and forth 40 times only, what is the domain of the function? d) e) f) g) What is the range of the function in part (c)? What is the amplitude of the function, and what does it represent in this situation? What is the equation of the sinusoidal function? What is the distance between the wall and the chair at t = 8 s?

Meagan is sitting in a rocking chair. The distance, d(t), between the wall and the rear of the chair varies sinusoidally with time t. At t = 1 s, the chair is closest to the wall and d(1) = 18 cm. At t = 1.75 s, the chair is farthest from the wall and d(1.75) = 34 cm. a) What is the period of the function, and what does it represent in this situation? b) How far is the chair from the wall when no one is rocking in it? c) If Meagan rocks back and forth 40 times only, what is the domain of the function? d) e) f) g) What is the range of the function in part (c)? What is the amplitude of the function, and what does it represent in this situation? What is the equation of the sinusoidal function? What is the distance between the wall and the chair at t = 8 s?

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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Lesson 6.7 13. Meagan is sitting in a rocking chair. The distance, d(t), between the wall and the rear of the chair varies sinusoidally with time t. At t = 1 s, the chair is closest to the wall and d(1) – 18 cm. At r − 1.75 s, the chair is farthest from the wall and d(1.75) = 34 cm. a) What is the period of the function, and what does it represent in this situation? b) How far is the chair from the wall when no one is rocking in it? c) If Meagan rocks back and forth 40 times only, what is the domain of the function? d) e) What is the range of the function in part (c)? What is the amplitude of the function, and what does it represent in this situation? f) What is the equation of the sinusoidal function? What is the distance between the wall and the r chair at t = 8 s? 14. Summarize how you can determine the equation of a nusoidal function that represents real phenomena Q Search LC S sin hp 99+
Transcribed Image Text:Lesson 6.7 13. Meagan is sitting in a rocking chair. The distance, d(t), between the wall and the rear of the chair varies sinusoidally with time t. At t = 1 s, the chair is closest to the wall and d(1) – 18 cm. At r − 1.75 s, the chair is farthest from the wall and d(1.75) = 34 cm. a) What is the period of the function, and what does it represent in this situation? b) How far is the chair from the wall when no one is rocking in it? c) If Meagan rocks back and forth 40 times only, what is the domain of the function? d) e) What is the range of the function in part (c)? What is the amplitude of the function, and what does it represent in this situation? f) What is the equation of the sinusoidal function? What is the distance between the wall and the r chair at t = 8 s? 14. Summarize how you can determine the equation of a nusoidal function that represents real phenomena Q Search LC S sin hp 99+
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