A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 76°C, it is cooling at a rate of 1°C per minute. Let y = T - Ts, where T(t) is the temperature of the coffee in degrees Celsius at time t and T, is the temperature of the surroundings in degrees Celsius. Find the values of A (in °C) and k for y(t) = Aekt A = k = °C After how many minutes is the temperature of the coffee 76°C? (Round your answer to two decimal places.) min
A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 76°C, it is cooling at a rate of 1°C per minute. Let y = T - Ts, where T(t) is the temperature of the coffee in degrees Celsius at time t and T, is the temperature of the surroundings in degrees Celsius. Find the values of A (in °C) and k for y(t) = Aekt A = k = °C After how many minutes is the temperature of the coffee 76°C? (Round your answer to two decimal places.) min
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Transcribed Image Text:A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 76°C, it is cooling at a rate of 1°C per minute.
Let y = T - Ts, where T(t) is the temperature of the coffee in degrees Celsius at time t and Te is the temperature of the surroundings in degrees Celsius. Find the values of A (in °C) and k for
y(t) = Aekt.
A =
k =
After how many minutes is the temperature of the coffee 76°C? (Round your answer to two decimal places.)
min
°C
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