Please solve the following questions

Graph the function f (:13) = m3 2a: and its secant line through the points (2,4) and (2,4). Use the graph to estimate the X- coordinate of the points Where the tangent line is parallel to the secant line. Find the exact value of the numbers c that satisfy the conclusion of the mean value theorem for the interval [2,2]. (Input the numbers in increasing order) if. f. Find the number c that satises the conclusion of the Mean Value Theorem for the following function and interval. 11%) = 6'2\"\Find the number c that satisfies the conclusion of the Mean Value Theorem for the following function and interval. f(ac) = 2ac3 + 2x + 9, [0, 2]Graph the function f(:c) = a: + 4/3: Graph the secant line that passes through the points (1,5) and (8,85) on the same set of axes Find the number c that satises the conclusion of the Mean Value Theorem for f on [1,8] c = 9', Notice that ifyou graph the tangent line to the point (c,f(c)) it is parallel to the secant line. Consider the function f(ac) = 4 5902 on the interval [3, 4]. (A) Find the average or mean slope of the function on this interval, i.e. f(4) f(3) = . 4 (3) v (B) By the Mean Value Theorem, we know there exists a c in the open interval (3, 4) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it. c =