The wave function for a wave on a taut string is y$($x$,$t$)=0\mathrm{.}350$sin$(3\backslash$pi x$-10\backslash$pi t$+(\backslash$pi $)/(4))$

where x and y are in meters and t is in seconds. If the linear mass density of the string is $70($g$)/($m$),$

what is the average rate at which energy is transmitted along the string?

a