Find the dimensions of the right circular cylinder described. The height is 4 inches less than half the radius. The volume is 10247 cubic inches. Radius: inches Height: inches Find the dimensions of the box described. The length is twice as long as the width. The height is 4 inches greater than the width. The volume is 1536 cubic inches. Length: inches Width: inches Height: inches One zero of the polynomial is given. Use it to express the polynomial as a product of linear factors over the complex numbers. f(z)=2'2 32 3z 18 zero:z = 2 L Use the Factor Theorem to find the real zero(s) for the given polynomial function and one factor. Answer exactly. flz)=32* 2> -9z +3; 321 Use synthetic division to find the quotient and the remainder. If there is no remainder, enter a 0 in the appropriate answer box. 3z3 4+ 22 -4 rz1 = Use long division to divide. Specify the quotient and the remainder. If there is no remainder, enter a 0 in the appropriate answer box. (2x3+ 13x2 + 25x + 20) : (x + 4) + 4Find the average rate of change on the interval specified for real numbers b (where b # 0). g(z) =2-2*3o0n|0,d] The following is the graph of the function f. 162 144 126 108 72 54 36 18 -6 -5 -4 -3 -2 -1 2 4 18 -36 -54 -72 -90 108 126 144 162 Estimate the average rate of change from x = -3 to x = 0.Solve the following inequality, then graph the solution. Answer in interval notation. 22 8x+12>0 (0,2] u [6,) 0 8 T 6 5 4 3 2 Clear All Draw: O For the following exercise, find f (x ) for the function. f (x) 6x + 4 = 5x + 3 3x - 4 =1 6 - 5xWrite an equation for the function shown. You may assume all intercepts and asymptotes are on integers. The blue dashed lines are the asymptotes. 10- 9 15-14-13-12-11 -10 -9 -8 -76 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 f (20 ) =Write an equation for a rational function with the given characteristics. . Vertical asymptote at x = 3 . Double zero at x = -4 . y-intercept at (0, 3) f (x) =