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The standard one-dimensional wave equation is
where v is the velocity of the wave.
Which of the following satisfies the wave equation:
a) f(z, t) = Ae-b(z-vt)²
b) f(z, t) = Ae-b(bz²+vt)
c) f(z, t) = A sin(b(z – vt))
d) f(z, t) = A {b(z – vt)? + 1}-1
e) f(z, t) = A sin(bz) cos((bvt)³)

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