yeast culture is taken from a lab at room temperature and places in a refrigerator set at a constant temperature. After t hours, the temperature, T, in progress Fahrenheit, of the culture is given approximately by T=30e^-0.58t+38 for t>=0. 1. What was the temperature of the yeast culture before it was placed in the refrigerator. 2. What is the rate of change of temperature of culture at the end of 1 hour? 3. What is the rate of change of temperature of the culture at the end of 4 hours? 4. What is happening to the rate of exchange of temperature as the culture continues to remain in the refrigerator? 5.As t->infinitely, what happens to the temperature of the culture?

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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4. A yeast culture is taken from a lab at room temperature and places in a refrigerator set at a constant temperature. After t hours, the temperature, T, in progress Fahrenheit, of the culture is given approximately by T=30e^-0.58t+38 for t>=0.

1. What was the temperature of the yeast culture before it was placed in the refrigerator.

2. What is the rate of change of temperature of culture at the end of 1 hour?

3. What is the rate of change of temperature of the culture at the end of 4 hours?

4. What is happening to the rate of exchange of temperature as the culture continues to remain in the refrigerator?

5.As t->infinitely, what happens to the temperature of the culture?

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