   Chapter 5.4, Problem 64E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Water flows from the bottom of a storage tank at a rate of r(t) = 200 − 4t liters per minute, where 0 ≤ t ≤ 50. Find the amount of water that flows from the tank during the first 10 minutes.

To determine

To find: The amount of water flows from the tank during first 10 minutes.

Explanation

Given information:

Water flows at the rate of r(t)=2004t.

The duration for the required water flow is 10 minutes. Hence, the limits are a=0 and b=10min.

Calculation:

Find the amount of water flows from the tank (Q) using the relation:

Q=abr(t)dt (1)

Here, the water flow rate is r(t).

Substitute 2004t for r(t), 0 for a, and 10 for b in Equation (1).

Q=010(2004t)dt (2)

Integrate Equation (2) with respect to t and apply the upper and lower limits

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