What is the maximized value of the function

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Suppose that you want to maximize the value of the function f(x) = x^3-6x^2+9x, subject to 0 less than or equal x less than or equal 5.

(a) Which value(s) of x satisfy the first-order condition for this maximization problem?

(b) Which value(s) of x are boundary points?

(c) Which value(s) of x solve the maximization problem?

(d) What is the maximized value of the function?

Now suppose you want to minimize the value of the function, subject to 0 less than or equal x less than or equal 5.

(e) Which value(s) of x solve the minimization problem?

(f) What is the minimized value of the function?

Reference no: EM131000223

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