Two sinusoidal transverse waves with the same amplitude, wavelength and period are traveling along $+$x direction. They interfere with each other. Assume the wave displacements are given as: y$1=(0\mathrm{.}5+$ d$8/100)$ sin $(8$x $16$t$)$ m and y$2=(0\mathrm{.}5+$ d$8/100)$ sin $(8$x $16$t $+$ $/4)$ m such that x and t are given in meter and second respectively. Find the followings: $($a$)$ wavelength $,(2$ marks$)($b$)$ period T$,(2$ marks$)($c$)$ wave speed v$,(2$ marks$)($d$)$ Express the resultant wave displacement function y$$ in terms of x and t$.(7$ marks$)$