A certain culture of the bacterium Rhodobacter sphaeroides initially has 15 bacteria and is observed to double every 5 hours. (a) Find an exponential model  n(t) = n02t/a  for the number of bacteria in the culture after t hours. n(t) =        (b) Estimate the number of bacteria after 17 hours. (Round your answer to the nearest whole number.)  bacteria (c) After how many hours will the bacteria count reach 1 million? (Round your answer to one decimal place.)

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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.