$5\mathrm{.}5\mathrm{.}8$ Considering the rainfall$-$runoff data in Prob. $5\mathrm{.}3\mathrm{.}1$ and using the curve number determined in Prob. $5\mathrm{.}5\mathrm{.}7,$ determine the cumulative infiltration and the cumulative rainfall excess as functions of time. Plot these curves.

$5\mathrm{.}3\mathrm{.}1$ For the following rainfall$-$runoff data, determine the $\backslash (\backslash$phi $\backslash )-$index and the cumulative infiltration curve based upon the $\backslash (\backslash$phi $\backslash )-$index. Also, determine the cumulative excess rainfall as a function of time. Plot these curves. The watershed area is $\backslash (0\mathrm{.}2\backslash$mathrm$\{$mi$\}^\{2\}\backslash ).$

$5\mathrm{.}5\mathrm{.}7$ For the rainfall$-$runoff data given in Prob. $5\mathrm{.}3\mathrm{.}1,$ use the SCS method for abstractions to determine the representative SCS curve number for this watershed, assuming AMC II$.$

Please answer three questions!