QUESTION 4 Show that f (x) = 27 satisfies all assumptions of the Mean Value Theorem on [-4, -1], and find all values of c in (-4, -1) that satisfy the conclusion of the theorem. As your answer please input the sum of all values c in decimal format with three significant digits after the decimal point. QUESTION 5 Show that f (x) = 23 - 9x2 + 24x - 18 satisfies all assumptions of the Mean Value Theorem on [2, 4), and find all values of c in (2, 4) that satisfy the conclusion of the theorem. As your answer please input the sum of all values c. QUESTION 6 Theorem (MVT) If f is a function defined on [a, b] that satisfies the following assumptions i) f is continuous on [a, b] ii) f is differentiable on (a, b) Then there is c in (a, b) , such that - f (6) - f (a) f' (c) = _ 6 - a Problem Let f (x) = (x - 3) be a function defined on [1, 4]. Please mark all statements that are correct: f does not satisfy condition i) but it satisfies condition in) of the Mean Value Theorem on [1, 4] f satisfies condition 2) but it does not satisfy condition in) of the Mean Value Theorem on [1, 4] There is no c in (-1, 1), such that f' (c) = } (1 - V/4). Note: the interval is (1,4) O f satisfies both conditions i) and ii) of the Mean Value Theorem on [1, 4] There is c in (1, 4) , such that f' (c) = } (1 - V4)