Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high temperature for the day is 102 degrees and the low temperature of 68 degrees occurs at 3 AM. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.

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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Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high temperature for the day is 102 degrees and the low temperature of 68 degrees occurs at 3 AM. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.

A population of rabbits oscillates 22 above and below an average of 71 during the year, hitting the lowest value in January (t = 0). Find an equation for the population, P, in terms of the months since January, t.

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 88 degrees occurs at 4 PM and the average temperature for the day is 80 degrees. Find the temperature, to the nearest degree, at 9 AM.

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 72 and 88 degrees during the day and the average daily temperature first occurs at 9 AM. How many hours after midnight, to two decimal places, does the temperature first reach 78 degrees?

 

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