Consider the function f(x) = 6,x + 6 on the interval [2, 5]. Find the average or mean slope of the function on this interval. f(5) - f(2) 5- 2 2(v 5 -V2) VO By the Mean Value Theorem, there exists a c in the open interval (2, 5) such that f' (c) is equal to this mean slope. Find c. Separate multiple answers with a comma. 3 Consider the function f(x) = 2x - 2x on the interval [ - 4, 4]. Find the average or mean slope of the function on this interval. f(4) - f( - 4) 4- (-4) By the Mean Value Theorem, there exists at least one c in the open interval ( - 4, 4) such that f' (c) is equal to this mean slope. Find c. Separate multiple answers with a comma. C= Consider the function h(x) = 2x - 12x - 30x + 6 over the interval [ - 6, 7]. Find the average or mean slope of the function on this interval. h(7) - h( -6) 7 - (-6) By the Mean Value Theorem, there exists a c in the open interval ( - 6, 7) such that h'(c) is equal to this mean slope. Find c. Separate multiple answers with a comma. Round answer(s) to 4 decimal places. C= If a rock is dropped from a height of 124 ft, its poistion t seconds after it is dropped until it hits the ground is given by the function s(t) = - 16t- + 124. How long does it take the rock to hit the ground? (In seconds) , Find the average velocity of the rock from when it is released until when it hits the ground. (in ft/second) What time after the rock is thrown will its instantaneous velocity be equal to its average velcity? seconds after it is thrown