Calculus Help: The vertical displacement f(t) of a cork bobbing up and down on the ocean’s surface

Calculus Help: The vertical displacement f(t) of a cork bobbing up and down on the ocean’s surface

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Full question:
The vertical displacement f(t) of a cork bobbing up and down on the ocean’s surface may be modeled by the function f(t)= Acos(t) + Bsin(t) where A≫0 and B≫0. Find the maximum value of f(t) in terms of A and B

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Calculus Help: The vertical displacement f(t) of a cork bobbing up and down on the ocean’s surface

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