Help I dont understand how to solve!!!
You construct an open top box by cutting equal sized squared (x by x) in each of the 4 corners of a 14 inch by 24 inch sheet of paper and then folding up the sides. Find a function for the volume of the box as a function of x and determine the largest volume possible.
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
V = L * W * H
Width is 14 but if you cut off x from the top and the bottom you have
W = 14 - 2X
LEngth is 24 but if you cut off x from the left and the right you have
L = 24 - 2X
Height is X how much you cut off so you can fold it up
H = X
V = (14 - 2X)(24 - 2X)X
V = (336 - 28X - 48X + 4X^2)X
V = X(4X^2 - 76X + 336)
V = 4X^3 - 76X^2 + 336X
Can you use a graphing calculator and see at which x value does the graph have its maximum point.
Thanks I had gotten that far and I just didnt know where they were getting the max from!