A cable is stretched between two posts $3\mathrm{.}00$ m apart. The$$speed of waves on this cable is

$96\mathrm{.}0$

$$

m

$/$

s

$,$ and the tension in the cable is $175$ N$.$ If a standing wave on this cable has five antinodes, what are $($a$)$the wavelength of the standing wave, $($b$)$ the frequency of the standing wave, and $($c$)$ the linear mass density of the cable?