A rectangular piece of cardboard, 40 inches 40 in. long by 22 inches wide, is used for making a rectangular box (open top) by cutting out squares of x by x from the corners and folding up the sides. (a) Create a polynomial expression for the vol- ume V in terms of x. (b) Make a plot of V versus x. (c) Determiner if the volume of the box is 1,000 in.?. (d) Determine the value of x that corresponds to the box with the largest pos- sible volume, and determine that volume. 22 in. W.

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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.A rectangular piece of cardboard, 40 inches
long by 22 inches wide, is used for making a
rectangular box (open top) by cutting out
squares of x by x from the corners and folding
up the sides.
(a) Create a polynomial expression for the vol-
ume V in terms of x.
(b) Make a plot of V versus x.
(c) Determine x if the volume of the box is
1,000 in.?.
(d) Determine the value of x that corresponds to the box with the largest pos-
sible volume, and determine that volume.
- 40 in.-
22 in.
W.
In Matlab
Transcribed Image Text:.A rectangular piece of cardboard, 40 inches long by 22 inches wide, is used for making a rectangular box (open top) by cutting out squares of x by x from the corners and folding up the sides. (a) Create a polynomial expression for the vol- ume V in terms of x. (b) Make a plot of V versus x. (c) Determine x if the volume of the box is 1,000 in.?. (d) Determine the value of x that corresponds to the box with the largest pos- sible volume, and determine that volume. - 40 in.- 22 in. W. In Matlab
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