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A string has a linear density of $6\mathrm{.}0{10}^{-3}k\frac{g}{m}$ and is under a tension of $260$ N $.$ The string is $1\mathrm{.}7$ m long, is fixed at both ends, and is vibrating in the standing wave pattern shown in the drawing. Determine the $($a$)$ speed, $($b$)$ wavelength, and $($c$)$ frequency of the traveling waves that make up the standing wave.

$($a$)$ Number

Units

$($b$)$ Number

Units

$($c$)$ Number

Units