(10%) Problem7: Determine if the each of the followingforms of the function f(x,t) is a solution to

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(10%) Problem7: Determine if the each of the followingforms of the function
f(x,t) is a solution to the waveequation
d2f / dx2 = (1/c2)(d2f / dt2). (True or False) Part (a)
f(x,t) = A ln(x – ct) Part (b)
f(x,t) = A [x2 –(ct)2] Part (b)
f(x,t) = A [x2 –(ct)2] Part (d)
f(x,t) = A sin(k1 x –ω1 t) + B cos(k2 x + ω2t + φ);ω1 / k1 = c; ω2 / k2 =c; Part (e)
f(x,t) = A sin(k1 x –ω1 t) cos(k2 x – ω2 t);ω1 / k1 = c; ω2 / k2 =c; . . .

 
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