Non-linear regression with the calculator Problem set A Answers

\(h = -5.01t^2 + 14.2t + 0.845\)

\(V = 0.365t^3 - 4.26t^2 + 10.9t + 20.1\)

\(N = 3.08e^{0.451t}\)

\(P = 0.501v^{2.92}\)

\(T = 9.34\sin(0.502t - 1.98) + 12.7\)

1. (a) \(C = 12.5e^{-0.314t}\)
2. (b) 4.17 mg/L
3. (c) a = 12.5 mg/L: the concentration at the moment of the injection (the model's value at t = 0)

1. (a) \(D = 3.18\sin(0.530t - 1.46) + 12.2\)
2. (b) 11.9 months: one full cycle takes 11.9 months
3. (c) 13.5

1. (a) \(m = 2.71d^{2.85}\)
2. (b) 7.19

1. (a) \(S = 0.346t^3 - 3.86t^2 + 10.2t + 11.3\)
2. (b) t = 4.68