To find: the speed of the water level rising when it is 2 feet deep.
Answer to Problem 20E
The water level is rising at the speed of
Explanation of Solution
Given information:
From the given diagram in the question, we can see that
Water level height = 2 feet.
If we look at the trough,
We can see that the width is
Therefore,
All variables are differentiable functions of t .
Calculation :
We have to calculate the speed of the water level rising when it is 2 feet deep.
Therefore, volume of the trough is
Put the value of
Differentiate with respect to t .
Putting the value of
Hence, the value
Chapter 5 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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