After years of overhunting, environmental scientists have reintroduced beavers to Yellowstone National Park. The initial number of beavers reintroduced to the park was 80 and, after 9 years, the population is estimated to be around 330. Part A: Assuming an exponential growth pattern, use the information given to write the model for this situation. Hint: A(t) = A0(1 + r)t, where A(t) is the final amount, A0 is the initial amount, r is the growth rate expressed as a decimal amount, and t is time. Part B: Use the formula from part A to determine the annual growth rate (rounded to the nearest tenth of a percent) of the new beaver population in Yellowstone National Park. Show your work.

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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.