Question: Consider the function f(x)= cos^2(x) - sin(x) over the interval [0,pi ] . a. Does f satisfy the hypotheses of the Extreme Value Theorem over

Consider the function f(x)= cos^2(x) - sin(x) over the interval [0,pi ] . a. Does f satisfy the hypotheses of the Extreme Value Theorem over the given interval? b. Find all critical numbers of f on the open interval (0,pi ) . c. Find all the absolute extrema of f on given interval. Also state their type and where they occur.

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