Mathematics

Mathematics

Problem

Two populations, AA and BB, have identical initial sizes but grow according to dPdt=kP\dfrac{dP}{dt}=kP with growth constants kAk_A and kBk_B, respectively, where kA<kBk_A<k_B. Let TAT_A and TBT_B denote the times required for each population to double. Which statement is true? a) TA=kAkB TBT_A = \dfrac{k_A}{k_B}\,T_B b) TA<TBT_A<T_B c) TA>TBT_A>T_B d) TA−TB=ln⁡2T_A-T_B = \ln 2

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