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 $[$ Select $]["5","4","-3\mathrm{.}2","1\mathrm{.}5","6"]$ m;$$

$($b$)$the angular frequency is $[$ Select $]["-3\mathrm{.}2","5","1\mathrm{.}5","0\mathrm{.}955","6"]$ rad$/$s;$$

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

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

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

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

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

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

$($i$)$the transverse speed of the wave at $(0,0)$ is $[$ Select $]["2\mathrm{.}67","3\mathrm{.}2","4\mathrm{.}00","0\mathrm{.}667","1\mathrm{.}40"]$ m$/$s$.$