Consider the function f(x) = x³ + 6x² + 11x + 6. If f(x) = 0 forx = -3, for what other values of x is the function equal to 0? List the values separated by commas. Do not include the zero x = -3 in your answer.

A farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. Let y represent the length (in feet) of a side perpendicular to the dividing fence, and let x represent the length (in feet) of a side parallel to the dividing fence. Let F represent the length of fencing in feet. Write an equation that represents F in terms of the variable x. F(x) = Find the derivative F'(x). F'(x) = Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X = What should the lengths of the sides of the rectangular field be (in ft) in order to minimize the cost of the fence? smaller value ft larger value ft Submit Answer

Given f1x2 = 3x + 1 and 1f + g2 1x2 = 6 - 12 x, find the function g.

Determine h(x + 4) for the following function. Answer h(x) h(x + 4) = 4x x²3x5

Find the x-intercept and y-intercept of the following function y = -7x 16

Graph the function and please give me a table of values so that I can graph.

The total yield of corn on Mr. Geller's farm from 1991 to 2010 can be modeled by the function f(x) =2x3+154x2+292x-600 (measured in kilograms) and the area of Mr. Geller's farm from 1991 to 2010 can be modeled by g(x) = 2x + 150(measured in hectares), where x is the number of years since1991. Which of the following expressions correctly describes the average yield of corn per hectare?

“e” was very happy as he was going to six flags. He pictured the perfectroller coaster and wondered what the equation of such a perfect roller coaster would be. Atsix flags, he discovered the following equation:h(d) = d3-7d2+8d+1where h (d) represents the vertical height above the ground and d represents the horizontal distance the roller coaster has travelled.Using calculus methods only, sketch the function by stating all the following:o Any asymptotes o The y-intercept o The first and second derivative o All critical points and whether they are the maximum, minimum, or neither. o All inflection points and the concavity to the left and right of the points o Graph Show all your work

Put in function notation using x as the independent variable: 8x + 2y = -4. O f(x) = -4x -2 O f(x) = 4x + 4 O (x) = 4x – 2 O f(x) = -4x – 4 e to search & 24 6 D G