A nylon guitar string has a linear density of $\backslash (6\mathrm{.}29\backslash$mathrm$\{$~g$\}/\backslash$mathrm$\{$m$\}\backslash )$ and is under a tension of $103$ N $.$ The fixed supports are $\backslash ($ D$=68\mathrm{.}5\backslash$mathrm$\{$~cm$\}\backslash )$ apart. The string is oscillating in the standing wave pattern shown in the figure. Calculate the $($a$)$ speed, $($b$)$ wavelength, and $($c$)$ frequency of the traveling waves whose superposition gives this standing wave.