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366lab5 - 2 dP/dt = r dP = rdt P = rt c P(0 = c = 379 P(1 =...

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2. dP/dt = r dP = rdt P = rt + c P(0) = c = 379 P(1) = r + c = r + 379 = 423 r = 44 P(t) = 44t + 379 P(23) = 44*23+379 = 1391 3. dP/dt = rP dP/P = rdt ln(P) = rt + c P = e^(rt+c) = ce^(rt) P(0) = c = 379 P(1) = 379e^r = 423 r = 0.11 P(t) = 379e^0.11t P(23) = 379e^2.53 = 4759
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0 2 4 6 8 10 12 14 16 18 20 0 1000 2000 3000 4000 5000 6000 7000 4. r = ln(6016(2239-379)/379(6016-2239))/10 = ln(11189760/1431483)/10 = 0.2 K = 379*2239*(1-e^-2)/(379-2239e^-2) = 733734/76 = 7994
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