Assume that the number of bacteria follows an exponential growth model: P(t) = Poekt. The count in the bacteria culture was 800 after 20 minutes and 2000 after 30 minutes. (a) What was the initial size of the culture? (b) Find the population after 75 minutes. (c) How many minutes after the start of the experiment will the population reach 14000? Note: webwork usually expects four significant digits so don't round your answers.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.