wt) + P13.13 Does the superposition (x, t) = sin(kx 2A sin(kx + wt) generate a standing wave? Answer this question by using trigonometric identities to combine the two terms. +2:

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I need help with these two problems. Please include as much detail, especially for P13.25. 

P13.13 Does the superposition 4(x, t) = Å sin(kx − wt) +
2A sin(kx + wt) generate a standing wave? Answer this
question by using trigonometric identities to combine the
two terms.
+
P13.25 Make the three polynomial functions ao, a₁ +
b₁x, and a₂ + b₂x + c₂x² orthonormal in the interval
-1 ≤x≤ +1 by determining appropriate values for the
constants ao, a₁, b₁, a2, b2, and c2.
Transcribed Image Text:P13.13 Does the superposition 4(x, t) = Å sin(kx − wt) + 2A sin(kx + wt) generate a standing wave? Answer this question by using trigonometric identities to combine the two terms. + P13.25 Make the three polynomial functions ao, a₁ + b₁x, and a₂ + b₂x + c₂x² orthonormal in the interval -1 ≤x≤ +1 by determining appropriate values for the constants ao, a₁, b₁, a2, b2, and c2.
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