3. What are is the absolute maximum of f (x) = sin(x) cos(x) on the interval [0, n]?

Q: \S(cos x)dx = 0 %3D

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A: Given f(0)=1 now we have find   limx→0f(x)=limx→0(sin2x2x)=1  ( By property)

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Q: Consider the function f(x) = over the interval [0, 1]. Does the extreme value theorem guarantee the…

A: Given function is, f(x)=1sinπx4 over the interval [0,1]   In general there is no guarantee that a…