fock at 200°C is put into a large bucket of water, which is kept at 30°C, cools according to the rate equation: dy %3D dt = k(y – 30) Wiere y is the temperature of the rock after t minutes in the bucket. After 3 minutes the temperature Of the rock is 60°C. Determine the constant k in the rate equation. Give your answer in the form In(A) where A is to be determined. Y(6)=20 a y(0)= 60 t= in (A) %3D

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Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 51RE: The population of a city is modeled by the equation P(t)=256,114e0.25t where t is measured in years....
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3. A small rock at 200°C is put into a large bucket of water, which is kept at 30°C, cools according to
the rate equation:
dy
k(y – 30)
dt
where y is the temperature of the rock after t minutes in the bucket. After 3 minutes the temperature
of the rock is 60°C. Determine the constant k in the rate equation. Give your answer in the form In(A)
where A is to be determined.
where
Y(6)=20.0
y (3)= 60
k= In (A)
%3D
Y-36
Transcribed Image Text:3. A small rock at 200°C is put into a large bucket of water, which is kept at 30°C, cools according to the rate equation: dy k(y – 30) dt where y is the temperature of the rock after t minutes in the bucket. After 3 minutes the temperature of the rock is 60°C. Determine the constant k in the rate equation. Give your answer in the form In(A) where A is to be determined. where Y(6)=20.0 y (3)= 60 k= In (A) %3D Y-36
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