Answer the question.It took 28 seconds for the temperature to rise from 2° F to 148° F when a thermometer was taken from a freezer and placed in boiling water. Although we do not have detailed knowledge about the rate of temperature increase, we can know for certain that, at some time, the temperature was increasing at a rate of  ° F/sec. Explain.

What will be an ideal response?


The average rate of temperature change is ° F/sec during the 28 seconds. Therefore, the Mean Value Theorem implies that at sometime during this time period, the temperature was changing at a rate of  ° F/sec.

Mathematics

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