A tube of toothpaste is found to have 113 bacteria present one month after it was bought and 559 bacteria four months after purchase. Find an exponential model for the population B(t) of bacteria the tube t months after purchase. b(t)= How much bacteria was present at the time of purchase according to this model?

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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.