Bacteria Culture The count in a culture of bacteria was 400after 2 hours and 25,600 after 6 hours.(a) What is the relative rate of growth of the bacteria population? Express your answer as a percentage.(b) What was the initial size of the culture?(c) Find a function that models the number of bacteria n1t2after t hours.(d) Find the number of bacteria after 4.5 hours.(e) After how many hours will the number of bacteria reach50,000?

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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.