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QuantumTheory

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A bacteria culture starts with 500 bacteria and grows at a rate proportional to its size. After 3 hours there are 8000 bacteria.

(a) Find an expression for the number of bacteria after t hours.

(b) Find the number of bacteria after 4 hours.

(c) Find the rate of growth after 4 hours.

(d) When will the population reach 30,000?

I think it involves differential equations.