Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

## #1 2013-08-23 06:34:39

AlbertMThomas
Novice

Offline

### Rate of change problem

The volume of an empty container is 15 m³. If water is poured into the container at a rate of 2t + 2 m³ per minute where t is the time. What is the time needed to fill the container?

## #2 2013-08-23 06:41:40

bob bundy
Moderator

Offline

### Re: Rate of change problem

hi AlbertMThomas

If water is poured into the container at a rate of 2t + 2 m³ per minute where t is the time.

Think about what that rate represents:

It's in cubic metres per minute so that's

At the start t = 0 and V = 0.  At the end V = 15 at (say) t = T

So integrate to get V in terms of t; put V = 15 (the constant of integration will come from t = V = 0) and solve for T

Bob

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

AlbertMThomas
Novice

Offline

Thanks!!