An investment of $8,000 earns interest at an annual rate of 6.5% compounded continuously. Complete parts (A) and (B) below. Click the icon to view the derivatives of exponential and logarithmic functions. (A) Find the instantaneous rate of change of the amount in the account after 2 year(s). (Round to two decimal places as needed). (B) Find the instantaneous rate of change of the amount in the account at the time the amount is equal to $12,000. 24 (Round to two decimal places as needed).

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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.