(a) solve the gompertz equation
dy/dt = ry ln(k/y),
subject to the initial condition y...
Mathematics, 22.07.2019 22:30 fruitasticgabs8175
(a) solve the gompertz equation
dy/dt = ry ln(k/y),
subject to the initial condition y(0) = y0. hint: you may wish to let u = ln(y/k).
(b) for the data given in example 1 in the text (r = 0.71 per year, k = 80.5 × 106 kg, y0/k = 0.25), use the gompertz model to find the predicted value of y(2).
(c) for the same data as in part (b), use the gompertz model to find the time τ at which y(τ) = 0.75k.
Answers: 2
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Question part points submissions used suppose that 100 lottery tickets are given out in sequence to the first 100 guests to arrive at a party. of these 100 tickets, only 12 are winning tickets. the generalized pigeonhole principle guarantees that there must be a streak of at least l losing tickets in a row. find l.
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