A thin, taut string tied at both ends and oscillating in its third harmonic has its shape described by the equation y$($x$,$t$)=(5\mathrm{.}60$cm$)$sin$[(0\mathrm{.}0340$rad$/$cm$)$x$]$sin$[(50\mathrm{.}0$rad$/$s$)$t$]$y$($x$,$t$)=(5\mathrm{.}60$cm$)$sin$[(0\mathrm{.}0340$rad$/$cm$)$x$]$sin$[(50\mathrm{.}0$rad$/$s$)$t$],$ where the origin is at the left end of the string, the xx$-$axis is along the string, and the yy$-$axis is perpendicular to the string.

Find the amplitude of the two traveling waves that make up this standing wave.

Express your answer with the appropriate units.

What is the length of the string?

Express your answer with the appropriate units.

Find the wavelength of the traveling waves.

Express your answer with the appropriate units.

Find the frequency of the traveling waves.

Express your answer with the appropriate units.

Find the period of the traveling waves.

Express your answer with the appropriate units.

Find the speed of the traveling waves.

Express your answer with the appropriate units.

Find the maximum transverse speed of a point on the string.

Express your answer with the appropriate units.