Problem $2(15$ pts$)$: The streamflow hydrograph from problem $1$ will turn into an inflow hydrograph for this problem.

Perform the following routing exercises using Muskingum routing.

$($a$)$ Use $\backslash (\backslash$mathrm$\{$K$\}=1\backslash$mathrm$\{$~h$\}\backslash )$ and $\backslash (\backslash$mathrm$\{$X$\}=0\mathrm{.}2\backslash )$

$($b$)$ Use $\backslash ($ K$=1\mathrm{.}9\backslash$mathrm$\{$~h$\}\backslash )$ and $\backslash (\backslash$mathrm$\{$X$\}=0\mathrm{.}2\backslash )$

$($c$)$ Use $\backslash ($ K$=1\backslash$mathrm$\{$~h$\}\backslash )$ and $\backslash (\backslash$mathrm$\{$X$\}=0\mathrm{.}25\backslash )$

$($d$)$ Use $\backslash (\backslash$mathrm$\{$K$\}=1\mathrm{.}9\backslash$mathrm$\{$~h$\}\backslash )$ and $\backslash (\backslash$mathrm$\{$X$\}=0\mathrm{.}25\backslash )$

Deliverables

$-5$ pts: Create a table of: $($i$)$ experiment parameters, $($ii$)$ peak flow rate, $($iii$)$ the hour at which peak flow occurs.

$-5$ pts: On the same graph, make a plot of inflow and the four outflow hydrographs you created.

$-5$ pts: Write a short statement comparing the curves and discussing the influence of the K and X parameters on the output.