The displacement of a spring vibrating in damped harmonic motion is given by the following equation. Find the first four times when the spring is at its equilibrium position, y = 0, and starting at time t = 0. (Enter your answers as a comma-separated list.) y = 7 e-7t sin(2nt)

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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The displacement of a spring vibrating in damped harmonic motion is given by the following equation. Find the first four times when the spring is at its equilibrium position, y = 0, and starting at time t = 0.
(Enter your answers as a comma-separated list.)
y = 7 e-7t sin(2nt)
t =
Transcribed Image Text:The displacement of a spring vibrating in damped harmonic motion is given by the following equation. Find the first four times when the spring is at its equilibrium position, y = 0, and starting at time t = 0. (Enter your answers as a comma-separated list.) y = 7 e-7t sin(2nt) t =
In a certain city the number of hours of daylight on day t (where t is the number of days after January 1) is modeled by the function
L(t) = 12 + 2.81 sin (t - 80)).
365
(a) Which days of the year have about 10 h of daylight? (Enter your answers as a comma-separated list.)
(b) How many days of the year have more than 10 h of daylight?
Transcribed Image Text:In a certain city the number of hours of daylight on day t (where t is the number of days after January 1) is modeled by the function L(t) = 12 + 2.81 sin (t - 80)). 365 (a) Which days of the year have about 10 h of daylight? (Enter your answers as a comma-separated list.) (b) How many days of the year have more than 10 h of daylight?
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