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These are equations, Calculus-style. From modeling real-world phenomenon, from the path of a rocket to the cooling of a physical object, Differential Equations are all around us.

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If \(f'(x)=9x^2\) and \(f(2)=31,\) what is \(f(x)?\)

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If \[f'(x)=\sin x-2\cos x, f(\pi)=9,\] what is \(f(x)?\)

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