QUESTION 1 Show that f (x) = 7x - VT satisfies all assumptions of Rolle's Theorem on [0, 4], and find all values of c in (0, 4) that satisfy the conclusion of the theorem, that is, all points c in (0, 4), such that f' ( c) = 0. As your answer please input the sum of all values c. QUESTION 2 Show that f (a) = (x - 3) satisfies all assumptions of the Mean Value Theorem on [1, 3], and find all values of c in (1, 3) 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 3 Theorem (Rolle's Theorem) If f is a function defined on [a, b] that satisfies the following assump- tions i) f is continuous on [a, b] ii) f is differentiable on (a, b) iii) f (a) = f (b) Then there is c in (a, b) , such that f' (c) = 0. Problem Let f (x) = x2/3 be a function defined on [-1, 1]. Please mark all statements that are correct f satisfies condition ii) but it does not satisfy condition i) and iii) of the Rolle's Theorem on [-1, 1] f satisfies conditions i), it) and iii) of the Rolle's Theorem on [-1, 1] f satisfies condition i) and ii) but it does not satisfy iii) of the Rolle's Theorem on [-1, 1] f does not satisfy condition ii) but it satisfies condition i) and ini) of the Rolle's Theorem on [-1, 1] There is no c in (-1, 1) , such that f' (c) = 0. There is c in (-1, 1), such that f' (c) = 0