Suppose a solution to the wave equation is given by y$($t$,$x$)=12$ cos$(4\mathrm{.}8$t $+9$x $-3),$ with all quantities in MKS units. Then $...$

$($a$)$the amplitude is$[$ Select $]["8","16","3","6","12"]$ m;$$

$($b$)$the angular frequency is $[$ Select $]["9","3","4\mathrm{.}8","12","2\mathrm{.}4"]$ rad$/$s;$$

$($c$)$ the wave number is $[$ Select $]["0\mathrm{.}111","1\mathrm{.}43","-3","9","4\mathrm{.}8"]$ rad$/$m;$$

$($d$)$the phase shift is $[$ Select $]["-3","12","9","4\mathrm{.}8","1\mathrm{.}6"]$ rad;$$

$($e$)$ the frequency is $[$ Select $]["4\mathrm{.}8","2\mathrm{.}4","9","0\mathrm{.}698","1\mathrm{.}43","0\mathrm{.}764","4\mathrm{.}8","0\mathrm{.}955","1\mathrm{.}31"]$ Hz;$$

$($f$)$the period is $[$ Select $]["0\mathrm{.}698","0\mathrm{.}764","3","0\mathrm{.}333","1\mathrm{.}43","4\mathrm{.}80","0\mathrm{.}764","1\mathrm{.}31","3","2\mathrm{.}62"]$ s;$$

$($g$)$the wavelength is $[$ Select $]["1\mathrm{.}875","1\mathrm{.}31","0\mathrm{.}698","1\mathrm{.}88","0\mathrm{.}208"]$ m;$$

$($h$)$the propagation speed of the wave is $[$ Select $]["1\mathrm{.}31","0\mathrm{.}764","0\mathrm{.}698","1\mathrm{.}43","0\mathrm{.}533"]$ m$/$s;$$

$($i$)$the transverse speed of the wave at $(0,0)$ is $[$ Select $]["0\mathrm{.}533","8\mathrm{.}13","57\mathrm{.}6","1\mathrm{.}88","1\mathrm{.}60"]$ m$/$s$.$