(1 point) Find the extreme values of the function f on the interval (0, co), and the x-value(s) at which they occur. If an extreme value does not exist, enter none for both the value and location. f(x) = 3x + E x Absolute minimum value: === . located at x = === Absolute maximum value: ::: , located at x = ::: (1 point) Find the absolute maximum and minimum values of f(x) = 1 + 6x + 2752, if any, over the interval (00, +00). absolute maximum is ::: and it occurs at x = ::: absolute minimum is ::: and it occurs at x = ::: (Bound to three decimal places as needed.) Notes: If there is more than one x value, enter as a comma separated list. Enter "none" in any unused answer box. (1 point) Consider the function f(x) = xe'sx, 0 S x 5 2. This function has an absolute minimum value equal to: 555 which is attained at x = 555 and an absolute maximum value equal to: 555 which is attained at x = 555 (Round to three decimal places as needed.) (1 point) Find the absolute maximum and absolute minimum values of the function f(x) =x3 6x2 63x+3 over each of the indicated intervals. (a) Interval = [4, 0]. 1. Absolute maximum: ::: 2. Absolute minimum : ::: (b) Interval : [1, 8]. 1. Absolute maximum: ::: 2. Absolute minimum : ::: (c) Interval = [4, 8]. 1 . Absolute maximum: ==: 2. Absolute minimum : ===