Consider the function on the interval (0, 2?). f(x) = sin(x)/ 2 + (cos(x))^2 (a) Find...

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Consider the function on the interval (0, 2?). f(x) = sin(x)/ 2+ (cos(x))^2 (a) Find the open intervals on which the function isincreasing or decreasing. (Enter your answers using intervalnotation.) increasing decreasing (b) Apply the First DerivativeTest to identify the relative extrema. relative maximum (x, y) =relative minimum (x, y) =

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