Newton's law of cooling says that the rate of cooling of an object is proportional to the difference between the temperature of the object and that of its surroundings (provided the difference is not too large). If T = T(t) represents the temperature of a (warm) object at time t, A represents the ambient (cool) temperature, and k is a negative constant of proportionality, which equation(s) accurately characterize Newton's law? dT OA. = k(A – T) IP dt — кТ(1 — Т/A) Ов. Ос. = KT(T – A) dT = k(T – A) OE. All of the above OF. None of the above OD. dt
Newton's law of cooling says that the rate of cooling of an object is proportional to the difference between the temperature of the object and that of its surroundings (provided the difference is not too large). If T = T(t) represents the temperature of a (warm) object at time t, A represents the ambient (cool) temperature, and k is a negative constant of proportionality, which equation(s) accurately characterize Newton's law? dT OA. = k(A – T) IP dt — кТ(1 — Т/A) Ов. Ос. = KT(T – A) dT = k(T – A) OE. All of the above OF. None of the above OD. dt
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 28E
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Newton's law of cooling says that the rate of cooling of an object is proportional to the difference between the temperature of the object and that of its surroundings (provided the difference is not too large). If T=T(t) represents the temperature of a (warm) object at time t, A represents the ambient (cool) temperature, and k
is a negative constant of proportionality, which equation(s) accurately characterize Newton's law?
A. dTdt=k(A−T)
B. dTdt=kT(1−T/A)
C. dTdt=kT(T−A)
D. dTdt=k(T−A)
E. All of the above
F. None of the above
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