12. In the year 2011, the population of the town of Bend, OR was 75,841 people. In 2019, the population increased to 93,917 people. Assume that the population is increasing exponentially. a. By what percentage did the population increase over the 8-year period from 2011 to 2019? b. By what percentage did the population increase each year over this period? Define an exponential function f that determines the population of Bend as a function of the number of years, t, since 2011. c. d. If the population of Bend continued increasing exponentially at this same rate, in what year will the population reach 125,920 people? Solve algebraically.

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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.