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A potato is placed in an oven, and the potatoAc€?cs temperature F (in degrees Fahrenheit) at various points in time is taken and recorded in the following table. Time t is measured in minutes.
a. Suppose it is given that F(64) = 330.28 and F0 (64) = 1.341. What are the units on these two quantities? What do you expect the temperature of the potato to be when t = 65? when t = 66? Why?
b. Write a couple of careful sentences that describe the behavior of the temperature of the potato on the time interval [0, 90], as well as the behavior of the instantaneous rate of change of the temperature of the potato on the same time interval.
One property of rational numbers is that they are dense, that is, between any two rational numbers is another rational number. Given two arbitrary rational numbers, show how you could find another rational number between them.
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