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The ambient temperature T in (3) in Section 1.3 dT dt = could be a function of time t. Suppose that in an artificially controlled environment, T(t) is periodic with a 24-hour period, as illustrated in the figure below Tm 140 120 100 80 -x T-Tm or 60 40 d = K(T-Tm) (3) 20- M 80-40 cos 12 24 36 48 Noon Midnight Noon Midnight Devise a mathematical model for the temperature T(t) of a body within this environment. (Use T for T(t).) dT dt

The ambient temperature T in (3) in Section 1.3 dT dt = could be a function of time t. Suppose that in an artificially controlled environment, T(t) is periodic with a 24-hour period, as illustrated in the figure below Tm 140 120 100 80 -x T-Tm or 60 40 d = K(T-Tm) (3) 20- M 80-40 cos 12 24 36 48 Noon Midnight Noon Midnight Devise a mathematical model for the temperature T(t) of a body within this environment. (Use T for T(t).) dT dt

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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The ambient temperature 7 in (3) in Section 1.3 dT .xT-Tm dt could be a function of time t. Suppose that in an artificially controlled environment, T(t) is periodic with a 24-hour period, as illustrated in the figure below. dT dt = Tm 140 120 100 M 8040 cos 80 60 40 or 20 = K(T-Tm) (3) 12 24 36 48 Noon Midnight Noon Midnight Devise a mathematical model for the temperature T(t) of a body within this environment. (Use T for T(t).) dT dt
Transcribed Image Text:The ambient temperature 7 in (3) in Section 1.3 dT .xT-Tm dt could be a function of time t. Suppose that in an artificially controlled environment, T(t) is periodic with a 24-hour period, as illustrated in the figure below. dT dt = Tm 140 120 100 M 8040 cos 80 60 40 or 20 = K(T-Tm) (3) 12 24 36 48 Noon Midnight Noon Midnight Devise a mathematical model for the temperature T(t) of a body within this environment. (Use T for T(t).) dT dt
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