The rate at which a body cools also depends on its exposed surface area S. If S is a constant, then a modification of (2), given in Section 3.1, is dT KS(T-Tm), dt where k < 0 and Tm is a constant. Suppose that two cups A and B are filled with coffee at the same time. Initially, the temperature of the coffee is 155° F. The exposed surface area of the coffee in cup B is twice the surface area of the coffee in cup A. After 30 min the temperature of the coffee in cup A is 105° F. If Tm = 75° F, then what is the temperature of the coffee in cup B after 30 min? (Round your answer to two decimal places.) OF =

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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The rate at which a body cools also depends on its exposed surface area S. If S is a constant, then a modification of (2),
given in Section 3.1, is
dT
KS(T - Tm),
dt
where k < 0 and Tm is a constant. Suppose that two cups A and B are filled with coffee at the same time. Initially, the
temperature of the coffee is 155° F. The exposed surface area of the coffee in cup B is twice the surface area of the coffee
75° F, then what is the temperature of the
=
in cup A. After 30 min the temperature of the coffee in cup A is 105° F. If Tm
coffee in cup B after 30 min? (Round your answer to two decimal places.)
°F
=
Transcribed Image Text:The rate at which a body cools also depends on its exposed surface area S. If S is a constant, then a modification of (2), given in Section 3.1, is dT KS(T - Tm), dt where k < 0 and Tm is a constant. Suppose that two cups A and B are filled with coffee at the same time. Initially, the temperature of the coffee is 155° F. The exposed surface area of the coffee in cup B is twice the surface area of the coffee 75° F, then what is the temperature of the = in cup A. After 30 min the temperature of the coffee in cup A is 105° F. If Tm coffee in cup B after 30 min? (Round your answer to two decimal places.) °F =
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