Help me solve these problems

10. f' (x) = 0 when x = -2.034, -1.107, 1. 107, 2.024 f"(x) = 0 when x = 2 -,0. 11.a. x# 0 b. (1.2, 0) c. x = 0 d. y= 0 e. x = 2.4 f. x = 3.6 12. f(x) = 2x 3 - 5x93 a. All Real numbers b . f' ( x ) = 10[x - 1] X = 0, 1 3 x / 3 c. f" ( x ) = - 10[2x + 1] 9 x 73 -, X = -.5 d. N 2 -4+ -6 - - 8 - -10 - 13. fis not differentiable at x = 0. 14. The Mean Value Theorem applies: c = NIOT 15. fis not continuous at x = -1. 16.10.27 in. 3 17. dy = 1, Ay = 1.061 18. a. T(x) = 12x - 16 b. f(2.1) ~ 9.5, T(2.1) ~ 9.4 c. f(2.1) = 9.261, (2.1) = 9.2. 19.a. 0.48 square inches b. 1 300 C. 3 20. 80 ft 20 ft. by 3 21. 4 in. by 4 in. by 1 in. 22. 1417. Find the values of dy and Ay for y = x3 2x when x = 2 and Ax = 0.1. 18.Consider ffx) = x3. a. Find an equation of the tangent line, T, at the point (2, 8). b. Graph fand Ton the same coordinate axes using a graphing utility. c. Use the graphs to estimate 112.1) and T(2.1). d. Calculate the actual values of 112.1) and T(2.1). 19.The measurement of the edge of a piece of square floor tile is found to be 12 inches with a possible error of 0.02 inches. a. Use differentials to approximate the maximum possible error in the area of the tile. b. Use then answer from part a to estimate relative error. c. Use the answer from part b to estimate the percentage error. 20.A farmer has 160 feet of fencing to enclose 2 adjacent rectangular pig pens. What dimensions should be used so that the enclosed area will be a maximum? 21 .An open box is to be made from a rectangular piece of material by cutting equal squares from each corner and turning up the sides. Find the dimensions of the box of maximum volume if the material has dimensions 6 inches by 6 inches. 22.A manufacturer determines that xemployees on a certain production line will produce y units per month where y = 75x2 0.2x4. To obtain maximum monthly production, how many employees should be assigned to the production line