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 KS(T-T). 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 8 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 T-75° F, then what is the temperature of the coffee in cup 8 after 30 min? (Round your answer to two decimal places.) F

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ISBN:9780470458365
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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
=kS(T-Tm)
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 105⁰
F. If T = 75° F, then what is the temperature of the coffee in cup B after 30 min? (Round your answer to two decimal places.)
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 =kS(T-Tm) 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 105⁰ F. If T = 75° F, then what is the temperature of the coffee in cup B after 30 min? (Round your answer to two decimal places.)
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