A cup of coffee, cooling off in a room at temperature 23°C, has cooling constant k = 0.083 min¯¹. (a) How fast is the coffee cooling (in degrees per minute) when its temperature is T = 71°C? Cooling at the rate = 3.984 °C min (b) Use the Linear Approximation to estimate the change in temperature over the next 9s when T = 71°C. Estimated to cool = 0.5976 °C over the next 9 s (c) The coffee is served at a temperature of 86°C. How long should wait before drinking it if the optimal temperature is 65°C? Waiting time = 7.7 min you
A cup of coffee, cooling off in a room at temperature 23°C, has cooling constant k = 0.083 min¯¹. (a) How fast is the coffee cooling (in degrees per minute) when its temperature is T = 71°C? Cooling at the rate = 3.984 °C min (b) Use the Linear Approximation to estimate the change in temperature over the next 9s when T = 71°C. Estimated to cool = 0.5976 °C over the next 9 s (c) The coffee is served at a temperature of 86°C. How long should wait before drinking it if the optimal temperature is 65°C? Waiting time = 7.7 min you
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.4: Total Differentials And Approximations
Problem 9E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...
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