Fluid flows into a tank at a rate of (180+3t) liters/min

A) Determine the amount of fluid that flows into a tank during the first 20 minutes

B) Determine the average rate of flow over the first 20 minutes

Question

Fluid flows into a tank at a rate of (180+3t) liters/min

A) Determine the amount of fluid that flows into a tank during the first 20 minutes

B) Determine the average rate of flow over the first 20 minutes

irishboy123 · Answer

are you learning calculus?

blackstreet23 · Answer

Calculus 2

blackstreet23 · Answer

@freckles

irishboy123 · Answer

so write a differential equation!

blackstreet23 · Answer

Don't know which

anonymous · Answer

humm... i have a question: don't you just plug in the 20 into the equation for the first question?

irishboy123 · Answer

$$\frac{dV}{dt}$$ ring any bells?

anonymous · Answer

humm...  i thought u plug in the 20 for the t for the first question and divide 20 by the answer for the first question and isnt that answer the answer for the second question?

blackstreet23 · Answer

find the derivative of the equation?

blackstreet23 · Answer

f(prime of 20) ?

blackstreet23 · Answer

ohh related rates

irishboy123 · Answer

"Fluid flows into a tank at a rate of"...

i gave you the clue: $\large \frac{dV}{dt} = ???????????$

irishboy123 · Answer

"liters/min"

blackstreet23 · Answer

volume right

irishboy123 · Answer

think so

go for it

blackstreet23 · Answer

So i would undo the related rate by integration?

blackstreet23 · Answer

I want just the litters how would i get that?

irishboy123 · Answer

"undo the related rate"

do that!

irishboy123 · Answer

but write out the related rate first, if you can