MathDB

Hapi, the god of the annual flooding of the Nile is preparing for this year’s flooding. The shape of the channel of the Nile can be described by the function

y = \frac{-1000}{ x^2+100}

where the

x

and

y

coordinates are in metres. The depth of the river is

5

metres now. Hapi plans to increase the water level by

3

metres. How many metres wide will the river be after the flooding? The depth of the river is always measured at its deepest point. https://cdn.artofproblemsolving.com/attachments/8/3/4e1d277e5cacf64bf82c110d521747592b928e.png

Problem Statement