Please solve the following

(1 point) Find the number c that satises the conclusion of the Mean Value Theorem for the following function and interval. f($) = (229\Consider the function f (2:) = i on the interval [3, 6]. (A) Find the average or mean slope of the function on this interval, i.e. ms) m) = 6 3 B B the Mean Value Theorem, we know there exists a c in the 0 en interval 3, 6 such that f' c is e ual to this mean slo e. Y P q P I: Find all values of c that work and list them (separated by commas) in the box below. List of values: 9', Consider the function f(ac) = 8J5 + 5 on the interval [2, 8]. (A) Find the average or mean slope of the function on this interval, i.e. ma) f(2) = 82 " (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 [a, b] are given. Check if the Mean Value Theorem can be applied to f on [a, b]. If so, nd all values 0 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(:1:) = 133:2 3:1: 7 on [17,8] c = i, (Separate multiple answers by commas.) A function at) and interval [a, b] are given. Check if the Mean Value Theorem can be applied to f on [(1, b]. If so, nd all values 0 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(a:) = 3111(39) + 6 011 [1,6] c = #1 (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 [(1, 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 0 value. f(:1:) = sin_1 a: on [1,1] 0 = #1 (Separate multiple answers by commas.)