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![7. Solve the following wave PDE with Fourier transformation.
J²u
მ2
202
მე2
+Po, BC:
(0,1)-01
(l,t) = 0]'
IC:
: {(x, 0) = 0}
அ
(x.0)=0
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- Find a set of parametric equations for the inverse of the function described by: x=t^3-10t+3, y=cos(30t)+810.52. Prove that the Fourier sine and cosine transforms are linear.A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 - 3t) Determine the coordinates of the particle if it travelled 10 units from (cos(4), sin(4),2)