Consider the function f(m) = 3:173 3:12 on the interval [4, 4]. Find the average or mean slope of the By the Mean Value Theorem, we know there exists at least one c in the open interval (4, 4) such that f'(c) is equal to this mean slope. For this problem, there are two values of c that work. Consider the function f(:c) = 4 7:132 on the interval [1,7]. Find the average or mean slope of the function on this interval, i.e. fm_\"_\" _ 7-(-1) _ By the Mean Value Theorem, we know there exists a c in the open interval (1, 7) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it. 1 on the interval [4, 11]. Find the average or mean slope of the function on (I! Consider the function f (9:) this interval. By the Mean Value Theorem, we know there exists a c in the open interval (4, 11) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it. Question Help: El Video Q Post to forum If f(10) : 10 and f'(:12) 2 4 for :1: E [10, 1], what is the smallest value f(1) can possibly be? Question Help: D Post to forum N Consider the function f(a) = 5x - -. Find the exact value of all numbers that satisfy the conclusion of aC the mean value theorem for f on the interval [3, 15]. Question Help: D Post to forumSuppose that f(a) is a continuous function with the following values: 0 2 W 4 5 f(a) 8 7 10 4 9 3 What is the minimum number of solutions to f (a) = 0 in the interval 0