Modeling with periodic functions. "Outside temperature over a day" can be modeled as a sinusoidal function. Suppose you know the high temperature for the day is 72 degrees and the low temperature of 38 degrees occurs at 3 AM. Assuming t is the number of hours since midnight, an equation for the temperature, D , in terms of t, D(t) = 55 – 17 cos( (t – 3)). is - - 12 Find the temperature, to the nearest degree, at 1 AM. degrees

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
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Modeling with periodic functions. "Outside temperature over a day" can be modeled as a
sinusoidal function. Suppose you know the high temperature for the day is 72 degrees and the
low temperature of 38 degrees occurs at 3 AM. Assuming t is the number of hours since
midnight, an equation for the temperature, D , in terms of t , is
D(t) = 55
- 17 cos (12 (t – 3) .
Find the temperature, to the nearest degree, at 1 AM.
degrees
Transcribed Image Text:Modeling with periodic functions. "Outside temperature over a day" can be modeled as a sinusoidal function. Suppose you know the high temperature for the day is 72 degrees and the low temperature of 38 degrees occurs at 3 AM. Assuming t is the number of hours since midnight, an equation for the temperature, D , in terms of t , is D(t) = 55 - 17 cos (12 (t – 3) . Find the temperature, to the nearest degree, at 1 AM. degrees
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