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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?

Elementary Algebra
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 503E: The length a spring stretches varies directly with a weight placed at the end of the spring. When...
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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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