Adding sinusoids Problem set B Answers

\(2.06\cos(5t + 3.05)\)

\(6.97\sin(2t + 0.0675)\)

1. (a) Shown
2. (b) \(10.5\sin(t + 1.59)\)

1. (a) \(41\cos(x - 1.35)\)
2. (b) \(6.32\cos(x + 0.322)\)

1. (a) \(6.46\cos(x - 0.314)\)
2. (b) \(P(0.314, 6.46),\ Q(3.46, -6.46),\ R(5.03, 0)\)

1. (a) \(V(t) = 17.2\cos(60t - 0.0502)\)
2. (b) 17.2 V

1. (a) \(H(t) = 0.744\sin(3t + 0.434)\)
2. (b) 0.902, 1.95, 3.00, 4.04, 5.09 s
3. (c) 0.379 s
4. (d) 68.1%

1. (a) \(D(t) = 2.90\cos(0.8t + 0.375)\)
2. (b) 2.90 cm
3. (c) t = 7.39 seconds

1. (a) \(S(t) = 4.55\cos(3t - 0.298)\)
2. (b) 4.55

1. (a) \(R(t) = 6.63\sin(5t + 0.420)\)
2. (b) 54.1%