Suppose the population P of the Asgard nanobots grows according to the formula: P(t) = 750e0.22t−52  where t measures the time in days. (a) What is the initial population of the sample?  (b) How long will it take for the sample to reach a population of 1667? Round your answer to three decimal places.

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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.