Problem $3-$The grain$-$size analysis for a soil is given as: a$)$ Plot the grain$-$size distribution curve of the soll. b$)$ Determine D$\_10,$ D$\_30,$ and D$\_60$ from the grain$-$size distribution curve. c$)$ Calculate the uniformity coefficient, C$\_$u$.$ d$)$ Calculate the coefficient of gradation, C$\_6.$ e$)$ Classify the soil using the USC System.a$.$ Plot the grain size distribution for each sample $(\%$ passing vs$.$ particle diameter$).$ Make sure to use the

appropriate units, scale, and labels for each plot.

b$.$ For each soil sample, determine the percentage of gravels, sands, and fines $($silts $+$ clays$).$

c$.$ For each soil sample, determine the values of $D_{10},D_{30},$ and $D_{60},$ and draw their location on each grain

size distribution.

d$.$ For each soil sample, compute the coefficient of uniformity and coefficient of curvature.

e$.$ Classify each soil sample according to USCS. Provide both the group symbol and the group name.