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Determine whether the Mean Value Theorem applies to f(x) = cos(3x) on [− π 2 ,...

Determine whether the Mean Value Theorem applies to f(x) = cos(3x) on [− π 2 , π 2 ]. Explain your answer. If it does apply, find a value x = c in (− π 2 , π 2 ) such that f 0 (c) is equal to the slope of the secant line between (− π 2 , f(− π 2 )) and ( π 2 , f( π 2 )) .

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