Two guitar strings, 1 and 2 , plucked simultaneously produce standing waves described by [begin{aligned} & D_{1}=A

Question:

Two guitar strings, 1 and 2 , plucked simultaneously produce standing waves described by

\[\begin{aligned}
& D_{1}=A \sin (a x) \cos (b t) \\
& D_{2}=A \sin (q x) \cos (d t),
\end{aligned}\]

with $a=14.5 \mathrm{~m}^{-1}, b=2512 \mathrm{~s}^{-1}, q=19.3 \mathrm{~m}^{-1}$, and $d=2575 \mathrm{~s}^{-1}$.

(a) What is the frequency of each wave?

(b) What is the beat frequency of the combined wave?

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