Find the number c that satises the conclusion of the Mean Value Theorem for the following function and interval. f(:c) = 62;\Consider the function f(x) = _ on the interval [3, 6]. (A) Find the average or mean slope of the function on this interval, i.e. f(6) - f(3) 6 - 3 (B) By the Mean Value Theorem, we know there exists a c in the open interval (3, 6) such that f'(c) is equal to this mean slope. Find all values of c that work and list them (separated by commas) in the box below. List of values:Consider the function f(:1:) = 8J5 + 5 on the interval [2, 8]. (A) Find the average or mean slope of the function on this interval, i.e. f(8) f(2) = 82 \"7' (B) By the Mean Value Theorem, we know there exists at least one c in the open interval (2, 8) such that f'(c) is equal to this mean slope. Find all values of c that work and list them (separated by commas) in the box below. List of values: f, A function f(a:) and interval [(1, b] are given. Check if the Mean Value Theorem can be applied to f on [a, b]. If so, nd all values c in [(1, b] guaranteed by the Mean Value Theorem Note, if the Mean Value Theorem does not apply, enter DNE for the c value. f(:c) = 132? 3a: 7 on [17,8] c = I; (Separate multiple answers by commas.) A function f(a) and interval [a, b] are given. Check if the Mean Value Theorem can be applied to f on [a, b]. If so, find all values c in [a, b] guaranteed by the Mean Value Theorem Note, if the Mean Value Theorem does not apply, enter DNE for the c value. f(x) = 31n(x) +6 on [1, 6] C = (Separate multiple answers by commas.)