Suppose that x} = 43:3 + 5:222 + 4. Using the Intermediate Value Theorem. for what values of N is there a c E (D, 1) such that c} = N? ENS Consider the function m] = 3.1:3 3: on the interval [2, 2]. (a) The slope of the seoaht linejoining (2, f(2)) and (2,f[2)) is m = (b) Since the conditions of the Mean Value Theorem hold true. there exists at least one c on (2, 2) such that f'[r:) = (c) Find :3. Note: lfthere is more than one answer, separate them with a comma. Consider the function z) = 23:3 922 1082 + 4 on the interval [4, B]. (:1) Since the conditions of the Mean Value Theorem hold true, there exists at least one c on (4, 8) such that f'(c) = (b) Find a. Note: Ifthere is more than one answer, separate them with a comma. Consider the function x) : i on the interval [4,12]. (a) Find the average slope m ofthe function on [4,12]. (b) Since the conditions of the Mean Value Theorem hold true: there exists at leastone c in [4, 12) such that f'[c) = m. Find c. Note: lfthere is more than one answer: separate them with a comma