Problem 5. {1 point) Consider the function f(x) =3x3 x22x+2 Find the average slope of this function on the interval (1, 6). i it! By the Mean Value Theorem. we know there exists a c in the open interval (1. 6) such that f ' (c) is equal to this mean slope. Find the value of c in the interval which works {1 point) Consider the function f(x) = 1 on the interval [3, 9]. Find the average or mean slope at the function on this interval. --= Y By the Mean Value Theorem, we know there exists a c in the open interval (3. 9) such that f ' (c) is equal to this mean slope. For this problem. there is only one c that works. Find it. (1 point) A fence is to be built to enclose a rectangular area of 2?0 square feet. The fence along three sides is to be made of material that costs 4 dollars perfect. and the material for the fourth side costs 12 dollars per foot. Find the length L and width W (wlth W 5 L) of the enclosure that is most economical to construct. L: l it