The size P(t) of a population at time t is modeled by the equation = 1200P...

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The size P(t) of a population at time t is modeled by the equation = 1200P - 4P². (a) In the long term, how big will the population be? (b) Under which condition will the population size shrink? (c) What is the population size when it is growing the fastest? (d) If P(0) = 20, determine P(t). (a) In the long term, the population will approach (b) The population size will shrink if P(t) > (c) The population size is growing the fastest when P(t) = (d) P(t) = The size P(t) of a population at time t is modeled by the equation = 1200P - 4P². (a) In the long term, how big will the population be? (b) Under which condition will the population size shrink? (c) What is the population size when it is growing the fastest? (d) If P(0) = 20, determine P(t). (a) In the long term, the population will approach (b) The population size will shrink if P(t) > (c) The population size is growing the fastest when P(t) = (d) P(t) =