A string of linear mass density $=0\mathrm{.}5845$ is tightened to a tension of $49$ N between to fixed ends separated by $32\mathrm{.}9$ cm$.($a$)$ If the string is plucked, what speed will the wave resulting wave have? $($b$)$ What is the fundamental frequency? $($c$)$ If one end of the string is denoted as $=0,$ what are the locations of the nodes of the $3$rd harmonic.