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An oil storage tank ruptures at time $t=0$ and oil leaks from the tank at a rate of $r(t)=100 e^{-0.01 t}$ liters per minute. How much oil leaks out during the first hour?

$\approx 4512$ Liters

Calculus 1 / AB

Calculus 2 / BC

Chapter 5

Integrals

Section 4

The Substitution Rule

Integration Techniques

Oregon State University

Idaho State University

Boston College

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

0:00

An oil storage tank ruptur…

06:16

Oil is leaking out of a ru…

00:27

If oil leaks from a tank a…

02:00

00:43

00:28

Oil leaks out of a tanker …

03:06

An oil tanker is leaking o…

05:27

Spread of an Oil Leak An o…

01:32

An oil tanker aground on a…

Water flows from the botto…

02:07

01:08

Water is pumped out of a h…

01:43

Oil leaked from a tank at …

08:01

Draining a tank The number…

06:45

Oil Leak At 1:00 P.M., oil…

04:45

The number of gallons of w…

05:31

Water is drained from a sw…

03:27

Draining a lank the number…

04:00

Draining a pool Water is d…

this question asked us to evaluate how much oil leaks from the first hour. What we know is that we can let our you equivalent to 100 therefore, R D U is zero because this is simply a constant. Therefore, what we know he can do is we can write this as 100 each 0.1 t over 0.1 Therefore, we have that 54.88 over negative 0.1 is negative. 5488 We move the decimal 54880.2 places to the right because we're dividing by 0.1 and then we make it negative. So you have negative 5488 and then we are adding 10,000 which gives us 54 12 leaders, which is our

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