MATLAB EXAM $-$ PROBLEM $1$: Using estimates of rainfall. evaporation, and water consumption, the town engineer developed the following model of the water volume in a reservoir as a function of time:

$V(t)={10}^9+{10}^6(1-e^{-0\mathrm{.}1t})-r{t}^2$

where $V$ is the volume of the water in liters, $l$ is the time in days, and $r$ is the town's consumption rate in liters per day.

For $r=7{10}^{4}L$ day, create a plot of the function $V(t).$ Adjust the time $t$ from $0$ to $90$ days.

Estimate how long it will take for the water volume to decrease to half of its initial value $V(0).$

Estimate how long it will take to have zero volume of water in the reservoir at that consumption rate using this model.

WHEN DONE, SAVE THE MATLAB LIVE FILE AND CONTINUE