For the data given below $\backslash (\backslash$left$($G$\_\{$S$\}=2\mathrm{.}70\backslash$right$)\backslash )$ :

a$)$ Plot each compaction curve on a separate graph $($use Excel to generate the best fit curves$).$ Show all hand calculations needed to create each plot. Plots must be professional $-$ set reasonable upper and lower boundaries to convey data appropriately.

b$)$ For the standard compaction test, determine the optimum water content and the maximum dry unit weight $(\backslash (\backslash$left$.\backslash$mathrm$\{$lb$\}/\backslash$mathrm$\{$ft$\}^\{3\}\backslash$right$)\backslash ).$ Work must be shown.

c$)$ Plot the zero air voids curve for each test on the same plot as the compaction curves. Show all hand calculations needed.

d$)$ For the standard compaction test, determine the degree of saturation at the maximum dry unit weight. Work must be shown.

e$)$ For the standard compaction test, shade in an area on the plot that meets the compaction specification of: a minimum of $\backslash (98\backslash \%\backslash )$ of the maximum dry unit weight and within $\backslash (+/-2\backslash \%\backslash )$ of the optimum water content.

f$)$ What is the compaction energy per unit volume for the standard and modified compaction tests?