Reminder Round all answers to two decimal places unless otherwise indicated.
Newton's Law of Cooling says that a hot object cools rapidly when the difference between its temperature and that of the surrounding air is large, but the object cools more slowly when it nears room temperature. Suppose a piece of aluminum is removed from an oven and left to cool. The following table gives the temperature
a. Explain the meaning of
b. Find the average decrease of temperature pet minute during the first half-hour of cooling.
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c. Find the average decrease per minute of temperature during the first half of the second hour of cooling.
d. Explain how parts b and c support Newton's law of cooling.
e. Use functional notation to express the temperature of the aluminum after I hour and 13 minutes. Estimate the temperature at that time. (Note: Your work in part c should be helpful.)
f. What is the temperature of the oven? Exams your answer using functional notation, and give its value.
g. Explain why you would expect the function A to have a limiting value.
h. What is roan temperature? Explain your reasoning.
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