Suppose a wave function is given by y$($t$,$x$)=4$ cos$(6$t $+1\mathrm{.}5$x $-3\mathrm{.}2),$ with all values in MKS units. Then $...$

$($a$)$ the amplitude is $4$ m;$$

$($b$)$the angular frequency is $6$ rad$/$s;$$

$($c$)$ the wave number is $[$ Select $]["1\mathrm{.}5","6\mathrm{.}0","-3\mathrm{.}2","4","0\mathrm{.}667"]$ rad$/$m;$$

$($d$)$the phase shift is $[$ Select $]["-3\mathrm{.}2","4","6","1\mathrm{.}5","0\mathrm{.}959"]$ rad;$$

$($e$)$ the frequency is $[$ Select $]["0\mathrm{.}239","1\mathrm{.}5","-3\mathrm{.}2","0\mathrm{.}478","0\mathrm{.}955","6","1\mathrm{.}5","1\mathrm{.}05","0\mathrm{.}835"]$ Hz;$$

$($f$)$the period is $[$ Select $]["1\mathrm{.}05","0\mathrm{.}959","0\mathrm{.}667","0\mathrm{.}313","1\mathrm{.}5"]$ s;$$

$($g$)$the wavelength is $[$ Select $]["4\mathrm{.}19","0\mathrm{.}667","-0\mathrm{.}313","2\mathrm{.}35","5\mathrm{.}77"]$ m;$$

$($h$)$ the propagation speed of the wave is $[$ Select $]["4\mathrm{.}00","3\mathrm{.}87","9\mathrm{.}00","0\mathrm{.}25","1\mathrm{.}88",""]$ m$/$s;$$

$($i$)$the transverse speed of the wave at $(0,0)$ is $1\mathrm{.}40$ m$/$s$.$