22 Nov 2021
Problem 18
Page 238
Section 3.8: Rates of Change in the Natural and Social Sciences
Chapter 3: Differentiation Rules
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22 Nov 2021
Given information
Given :- Torricelli’s Law gives the volume V of water retaining in the tank after t minutes as
To find :- At what time is the water flowing out the fastest? At what time is the water flowing out the slowest? Summarize your findings.
Step-by-step explanation
Step 1.
Note that the volume of water remaining in the tank after minutes as
.
Now, the rate at which the volume is decreasing
Observe that this is the rate at which water is draining from the tank.
Therefore,
Therefore, the rate of draining, .