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Exercise. Let F : R" - R be a differentiable function that is roughly described by the following table of values: O -3 -8 10 11 3 -2 -7 12 13 2 4 -1 -3 -5 -9 6 3 -1 -2 -4 y 2 -1 0 2 Consider the closed set defined by: e(t) = (-1, 1) + t (3, 3) as t runs from 0 to 1. Find the absolute extrema on this set. The absolute maximum of F when constrained to the closed set is: F ? The absolute minimum of F when constrained to the closed set is: F ? ? ?Exmbsolute maximum and minimum of F(a:, y) = $2 + y2 + y + 1 constrained to the triangle with vertices (0, 1), (1, 1), and (1, 1). The critical points along the triangle are (writing them in the order of increasing cc-values): c1= c2= Exercise. Find the absolute maximum and minimum of F(a:, y) 2 3y 21:2 constrained to the closed set bounded by the parabola y = m2 + m 1 and the line y = z. The critical point within (including the boundary) this closed set is: =