Question

An open box is to be made from square piece of cardboard, 22 inches on side, by cutting equal squares with sides of length x from the corners and tuming up the sides (sec figure below) If the volume of the box is represented by V(x) = x(22 - 2x)^2, determine the domain of V(x) D = {x|x > 0} D = {x|0 < x < 22} D = {x|11 < x < 22} D = {x|44 < x < 88} D = {x|0 < x < 11}

Name: an open box is to be made from square piece of cardboard 22 inches on side by cutting equal squares with sides of length from the corners and tuming up the sides sec figure below if the vo 81586
Uploaded: 2023-07-09T22:32:42-08:00
Duration: 2 min 50 s
Channel: Gregory Higby
Description: an open box is to be made from square piece of cardboard 22 inches on side by cutting equal squares with sides of length from the corners and tuming up the sides sec figure below if the vo 81586

          An open box is to be made from square piece of cardboard, 22 inches on side, by cutting equal squares with sides of length x from the corners and tuming up the sides (sec figure below) If the volume of the box is represented by V(x) = x(22 - 2x)^2, determine the domain of V(x)
D = {x|x > 0}
D = {x|0 < x < 22}
D = {x|11 < x < 22}
D = {x|44 < x < 88}
D = {x|0 < x < 11}

Added by Brittany T.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Gregory Higby

07/09/2023

Step 1

Let's call this length "x". Since we are cutting equal squares from each corner, the dimensions of the resulting box will be (22-2x) by (22-2x) by x. Show more…

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An open box is to be made from square piece of cardboard, 22 inches on side, by cutting equal squares with sides of length x from the corners and tuming up the sides (sec figure below) If the volume of the box is represented by V(x) = x(22 - 2x)^2, determine the domain of V(x) D = {x|x > 0} D = {x|0 < x < 22} D = {x|11 < x < 22} D = {x|44 < x < 88} D = {x|0 < x < 11}