The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are. (If an answer does not exist, enter DNE.) x −2 −1 0 1 2 f(x) 0.18 0.9 4.5 22.5 112.5 g(x) 12 6 3 1.5 0.75   f(x)=        g(x)=

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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.