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Consider the function f(x) - 2 - 6x2, - 5

Consider the function f (f) The absolute maximum value is and this occurs at The absolute minimum value is and this occurs at Submit Question 3 The function f (x) The smaller one is x and the larger one is x = Question Help: Video 2 39T 2 -E 240T - 4 has two critical numbers. Open-box Problem. An open-box (top open) is made from a rectangular materiat of dimensions a 12 inches 10 inches by cutting a square Of side at each corner and turning up the sides (see the figure). by b = Deter-rnirte the value of that results in a box the maximum volume, Following the steps to solve the problem. Check Show Answer only after you have hard. (1) Express the volume V' as a function ot x: V = (2) Determine the domain of the function V of (in interval form, [a,b]): (3) Expand the function V for easier differentiation: V (4) Find the derivative Of the function V; V (5) Find the critical value (just the R-value) in the domain of V: (6) The value Of V at the left endpoint is (7) The vatuc of V at the right endpoint is (8) Thc maximum volume ts V = (9) Answer the originat question. The value of x that maximizes the volume is: Submit Qwsuon