The mathematical model for a wave on a tightly stretched wire is

y$($x$,$ t$)=0\mathrm{.}315$ sin

$9$t $3$x $+$

$4$

where x and y are in meters, t is in seconds, and $$ of the wire is $79\mathrm{.}0$ g$/$m$.$

$($a$)$

Calculate the average rate energy is conveyed along the wire $($in W$)$

$($b$)$

What is the energy per cycle of the wave $($in J$)?$