Exponential models, half-life and logarithmic models Problem set A Answers

19.8 hours

Half-life = \(-\ln2/k\)

\(T=30+60e^{-0.0866t}\)

a = 1.19, b = 2.61

1. (a) y = 10.1
2. (b) x = 58.2

1. (a) \(R=40+160e^{-0.0231t}\)
2. (b) t = 102 minutes

1. (a) \(C=12e^{-0.116t}\)
2. (b) 2.12 mg/l

1. (a) a = 0.109, b = 1.43
2. (b) 2.67 m
3. (c) 30.6 years

1. (a) 0.0770
2. (b) 14.3 days

1. (a) -0.000121
2. (b) 6600 years

1. (a) d = 20 and A = 60
2. (b) k = −0.160
3. (c) 28.8 °C

1. (a) \(b\ln 2\)
2. (b) 2.15