💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Like

Report

Numerade Educator

Like

Report

Problem 53 Medium Difficulty

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?

Answer

$$V(0)-V(120)$$

More Answers

Discussion

You must be signed in to discuss.

Video Transcript

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.