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# Additional ApplicationsDraining a tank It takes 12 hours

ISBN: 9780321884077 57

## Solution for problem 27E Chapter 3.4

Thomas' Calculus: Early Transcendentals | 13th Edition

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Problem 27E

Problem 27E

Additional Applications

Draining a tank It takes 12 hours to drain a storage tank by opening the valve at the bottom. The depth y of fluid in the tank t hours after the valve is opened is given by the formula

a. Find the rate dy/dt (m/h) at which the tank is draining at time t.

b. When is the fluid level in the tank falling fastest? Slowest? What are the values of dy/dt at these times?

c. Graph y and dy/dt together and discuss the behavior of y in relation to the signs and values of dy/dt

Step-by-Step Solution:

Solution:

Step 1:

In this question we have to evaluate  , determine its maximum and minimum values and graph  and  together.

Step 2 of 4

Step 3 of 4

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Additional ApplicationsDraining a tank It takes 12 hours