1.   The value of a $1500 investment that earns 7.9% interest compounded continuously for t years can be modeled by            ?(?)=1500?^ 0.079t dollars. a. Find ?′(?). b. How quickly is the continuous compounding investment growing after 20 years? Include units.

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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.