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Bacteria are growing exponentially in an environment of unlimited space and food. Thedoubling time is...

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Bacteria are growing exponentially in an environment of unlimited space and food. Thedoubling time is 1 hour.a. If there are initially a milligrams of bacteria, express the mass of the bacteria as afunction of time t.f(t) = x(2)^tb. Use your answer to part (a) to complete the following equation whose solution is the timeat which there are 3x milligrams of bacteria.3x=c. Solve youbacteria.t=equation from part (b) for the time t at which there are 3x milligrams ofhoursd. Your answer to part (c) should be between 1 and 2 hours. Check that it is. Do youunderstand why it has to be?

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