Question
Asked Nov 6, 2019
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0. The coffee's temperature is changing at a rate of r (t) = -8(0.8')'C per minute, with t in minutes. Estimate the coffee's temperature
A cup of coffee at 90 C is put into a 20°C room when t =
10.
when t
Round your answer to two decimal places.
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0. The coffee's temperature is changing at a rate of r (t) = -8(0.8')'C per minute, with t in minutes. Estimate the coffee's temperature A cup of coffee at 90 C is put into a 20°C room when t = 10. when t Round your answer to two decimal places.

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Step 1

Given that the temperature of the coffee is changing at a rate of

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T()r(t)-8(0.8)

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Step 2

Then the temperature of coffee is

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T()=5-8(0.8)dt -8 -0.8 C In 0.8 35.87(0.8')+C

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Step 3

Given that T (0)=90. Then ...

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90 35.87(0.8)+C C = 54.13

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