The number N(t0 of bacteria in a culture is growing exponentially. When t=0, N(t)=100, and when t=5, N(t)=300 where t is the time in hours. a) Find the growth rate K. (Round to four demical places) b) Write the function N(t) that represents the number of bacteria after t hours. c) After how many hours will the number of bacteria be 10,000? Round to the nearest hour.

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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.