A cup of coffee with cooling constant k = 0.09 min1 is placed in a room at
Question:
A cup of coffee with cooling constant k = 0.09 min−1 is placed in a room at temperature 20°C.
(a) How fast is the coffee cooling (in degrees per minute) when its temperature is T = 80°C?
(b) Use the Linear Approximation to estimate the change in temperature over the next 6 s when T = 80°C.
(c) If the coffee is served at 90°C, how long will it take to reach an optimal drinking temperature of 65°C?
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