Nonlinear Function

I'm so confused with this series of questions. Unfortunately, I don't even know where to begin. Can you help me? An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out. 1 - Find the function V that represents the colume of the box in terms of x. 2 - Graph this function and show the graph over the valid range of the variable x and show graph. 3 - Using the graph, what is the value of x that will produce the maximum volume? Any guidance you can provide will very much appreciated. Thanks in advance.

Linear Programing using Solver

(See attached file for full problem description) How would this be set up in solver? What is the trick to this problem, have not been able to figure it out? I am not getting this one at all. Please explain to me in plain english. Thanks

Failures of column and row

Find the possible failures in the column picture and the row picture, and match them up. Success would be 3 columns whose combinations give every vector b, which matches with 3 planes in the row picture that intersect at one point (the unique solution x). Give numerical examples of these two types of failure: a. 3 columns lie on the same line; 3 planes are parallel (then if b happens to lie on that line of columns, the 3 planes meet in a ... ) b. 3 columns in the same plane, but no two on the same line. Then 3 planes do what? Which b’s are okay? Now give numerical examples of the other types of failure in the column and row pictures.

Linear equations

1. Graph line with equation y=-4x-2. 2. 2x=8y=17=0 3. Graph the line with slope -2 passing through the point (-3,4). 4. Find slope of the line graphed (-44, 28) (9, -12). 5. x=9 graph the line 6. 6x-9y+7=0. 7. 2x=5y+3 8. Write an equation of line (0, -4). 9. A line passes through the point (6, -6) and has a slope of -3. Write an equation for this line in (x, y) coordinates. 10. Write equations for the vertical and the horizontal lines passing through the point (6, 1) in (x,y) coordinates. 11. Consider the line y=-2/7x+2. What is the slope of line parallel to this line? What is the slope of a line perpendicular to this line 12. Graph the inequal... click for more

Seasonalize Trends

The Costello Music Company has been in business for 5 years, selling electric organs. Below are the quarterly sales by year, with annual totals. Year Quarter 1 Quarter 2 Quarter 3 Quarter 4 Total 1 4 2 1 5 12 2 6 4 4 14 28 3 10 3 5 16 34 4 12 9 7 22 50 5 18 10 13 35 76 A.) Compute the trend in sales,... click for more