Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
If oil leaks from a tank at a rate of $ r(t) $ gallons per minute at time $ t $, what does $ \displaystyle \int^{120}_0 r(t) \, dt $ represent?
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Amrita Bhasin
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
00:34
Frank Lin
Calculus 1 / AB
Chapter 5
Integrals
Section 4
Indefinite Integrals and the Net Change Theorem
Integration
Campbell University
Baylor University
University of Michigan - Ann Arbor
Boston College
Lectures
05:53
In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.
40:35
In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.
00:27
If oil leaks from a tank a…
00:55
$\begin{array}{l}{\text { …
03:38
02:00
01:20
02:11
01:44
0:00
Explain.
01:28
'120 r(t) dt represen…
00:46
Water is leaking from &…
00:28
Oil leaks out of a tanker …
00:52
An oil storage tank ruptur…
01:12
okay if the FT is the volume of the tank than our tea is the derivative of Viotti Soviet prime of tea. So what this means is that the integral from 01 20 r t G t is equivalent to this integral from 0 to 1 20 off the prime of tea. Because remember their equivalent. I just rode out the equivalent statement right over there. But fundamental dilemma calculus part to this is vey of 1 20 minus V of zero. In other words, bound the first found months, the second round. So what this means is that this represents the change in volume of the tank from th zero toe Tia's 1 20 which is the amount of oil leaked in the 1st 2 hours because they're 60 minutes in an hour.
View More Answers From This Book
Find Another Textbook
02:13
The width of the rectangle is 24in the length of the rectagle is 75% of its …
02:21
REALLY NEED HELP ON THIS ONE!!!!!!!!!I WILL GIVE BRANLIEST, RATE, AND THANKS…
01:30
how many different triangles can u make if you are given these two lengths 2…
02:18
Photos and videos have become an important part of the online social experie…
01:58
Ciara is making a new dance outfit for a dance performance in her high schoo…
02:04
Two people worked on a car. The first person charged $ 85 per hour, and the …
00:42
What is the result of adding these two equations?-2x + 7y = -5- 2x –…
00:43
Jim's diner offers its clients a choice of regular and diet soda. Last …
Species A doubles every 1 hours and initially there are 9 grams. Species B d…
Jerome and Noah are walking on a trail in the park. Jerome starts at 50 mete…