According to Newton's Law of Cooling, the temperature T of an (as a function of time t) is given by T(t) = T, + D,e, where k is a positive constant, and D, is the difference between T(0) (the temperature at time t = 0) and T, (the temperature of the surroundings). If a bowl of soup with temperature 210 degrees Fahrenheit is set down in a room with temperature 65 degrees, after how many minutes will the soup's temperature reach 100 degrees? = 0.05] 10. [for this soup, assume k

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According to Newton's Law of Cooling, the temperature T of an (as a function of time t) is given by
T(t) = T, + D,e, where k is a positive constant, and D, is the difference between T(0) (the temperature at time t
= 0) and T, (the temperature of the surroundings).
If a bowl of soup with temperature 210 degrees Fahrenheit is set down in a room with temperature 65
degrees, after how many minutes will the soup's temperature reach 100 degrees?
= 0.05]
10.
[for this soup, assume k
Transcribed Image Text:According to Newton's Law of Cooling, the temperature T of an (as a function of time t) is given by T(t) = T, + D,e, where k is a positive constant, and D, is the difference between T(0) (the temperature at time t = 0) and T, (the temperature of the surroundings). If a bowl of soup with temperature 210 degrees Fahrenheit is set down in a room with temperature 65 degrees, after how many minutes will the soup's temperature reach 100 degrees? = 0.05] 10. [for this soup, assume k
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