Storage tanks are components of biological processes that are commonly used for temporarily holding liquids before further processing or product packaging. Consider a storage tank that contains a liquid at depth y where y $=0$ when the tank is half full $($Fig$.1).$ Liquid is withdrawn at a constant flow rate Q to meet demands. The contents are resupplied at a sinusoidal rate $3$Q sin$2($t$)$ A$.$ Perform a mass balance to get an expression dy$/$dt $($the change of depth as a function of time$).(5$ Points$)$ B$.$ Use Euler$$s method to solve for the depth y form t$=0$ to t$=10$ d $($days$)$ with a step size of $0\mathrm{.}5$d$.$ The area of the tank is $1200$ m$2$ and Q $=500$m$3/$d$.$ Assume that the initial condition is y $=0.$ Plot y vs$.$ t using Python and Jupyter Notebook. $(20$ Points$)$