Adding sinusoids Problem set A Answers

\(10.2\cos(4t + 0.814)\)

\(8.91\sin(t + 1.28)\)

1. (a) Shown
2. (b) \(6.46\sin(3t + 1.69)\)

1. (a) \(13\cos(x - 0.395)\)
2. (b) \(8.06\cos(x + 1.05)\)

1. (a) \(6.32\cos(x - 0.381)\)
2. (b) \(P(0.381, 6.32),\ Q(3.52, -6.32),\ R(5.09, 0)\)

1. (a) \(V(t) = 14.1\cos(40t + 0.698)\)
2. (b) 14.1 V

1. (a) \(H(t) = 0.601\sin(2t + 0.521)\)
2. (b) 1.31, 2.88, 4.45, 6.02, 7.59, 9.16 s
3. (c) 0.525 s
4. (d) 72.1%

1. (a) \(D(t) = 1.64\cos(0.5t + 0.521)\)
2. (b) 1.64 m
3. (c) t = 11.5 hours

1. (a) \(S(t) = 5.83\cos(2t + 0.121)\)
2. (b) 5.83

1. (a) \(R(t) = 7.46\sin(7t + 0.655)\)
2. (b) 70.7%