A swimming pool is to be drained by cleaning. If L represents the number of litres of water in the pool `t` seconds after the pool has been plugged off to drain and `L=2000(10-t)^2dot` How fast is the water ruining out at the end of 5 seconds? What is the average rate at which the water flows out during the first 5 seconds?

Explanation

To solve the problem step by step, we will follow these steps:

### Step 1: Understand the given function
We are given the function for the volume of water in the pool as:
\[ L = 2000(10 - t)^2 \]
where \( L \) is the number of liters of water in the pool and \( t \) is the time in seconds after the pool has been plugged off.

### Step 2: Find the derivative \( \frac{dL}{dt} \)
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