A population, P(t) (in millions) in year tt, increases exponentially. Suppose  P(6)=15 and  P(14)=24. a) Find a formula for the population in the form P(t)=ab^t. Enter the values you found for a and b in your formula in the blanks below. Round your values to 4 decimal places. b) If P(t)=ae^(kt), what is the value of k in your formula.

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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.