The graph shows the deer population in a Pennsylvania county between 2010 and 2014. Assume that the population grows exponentially. n(t) (4, 31,000) 30,000 - Deer 20,000- population 10,000- 1 3 2 Years since 2010 (a) What was the deer population in 2010? deer (b) Find a function that models the deer population t years after 2010. (Enter your answer in the form noert. Round your r value to four decimal places.) n(t) = (c) What is the projected deer population in 2024? (Round your answer to the nearest thousand.) deer (d) Estimate how long it takes the population to reach 500,000. (Round your answer to two decimal places.) yr

Q: (0, 8) 8 N(1, 4) (2, 2) (3, 1) 4- - 2 4

A: topic - functions

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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.