Homework SourseA cup containing cold water is removed from a refrigerator 4
A cup containing cold water is removed from a refrigerator (40 degrees F) and left on a table in a room that has temperature 75 degrees F. The temperature T of the water is a function of how long t (measured in minutes) it has been out of the refrigerator. Thus T = f(t) .
Sketch a graph of f
Is f\'(t) positive or negative? Why ?
What are the units for f\'(t)
Is f\"(t) positive or negative? Why?
Sketch a graph of f
Is f\'(t) positive or negative? Why ?
What are the units for f\'(t)
Is f\"(t) positive or negative? Why?
Solution
positive as it\'s temperature increases with time. f(t) = k/s f\'\'(t) is negative as the rate decreases with the increase of time as the temperature difference between the surroundings and the water decreases.
