   Chapter 4.4, Problem 49E

Chapter
Section
Textbook Problem

# If oil leaks from a tank at a rate of r ( t ) gallons per minute at time t, what does ∫ 0 120 r ( t ) d t represent?

To determine

To represent:

What does 0120rtdt represent.

Explanation

1) Concept:

The Net Change Theorem: The integral of a rate of change is the net change.

abF'xdx=Fb-Fa

2) Given:

0120r(t)dt

3) Calculation:

Consider the integral,

510rtdt, where  rt is the rate oil leaks from a tank.

Let V (t) be the volume of a tank then,V't=r(t)

Now, substitute the value V'(t)=rt in 0120r(t)dt

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