Suppose that during the first hour and 15 minutes of a
Chapter 5, Problem 34(choose chapter or problem)
Suppose that during the first hour and 15 minutes of a physics experiment, the surface temperature of a small iron block is modeled by the exponential function f(t) 15et , where f(t) is the Celsius temperature t hours after the experiment begins. (a) Use a graphing utility to graph the function f(t) 15et over the interval 0 t 1.25. (b) Compute the average rate of change of temperature over the second half hour of the experiment (i.e., over the interval 0.5 t 1). Round the answer to one decimal place. (c) Use one of the facts in the box on page 340 to determine the instantaneous rate of change of temperature: 30 minutes after the start of the experiment; 1 hour after the start of the experiment. Round each answer to one decimal place.
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