a. Suppose the paper is 11"-wide by 13"-long. Let a represent the length of the side of the square cutout (in inches), and let V represent the volume of the box (in cubic inches). i. Write a formula that expresses V in terms of x. V = x(11-2x)(13-2x) ii. If the cutout length increases from 0.5 to 2.6 inches, how much does the volume of the box change by? 14.0608 |1 cubic inches Preview iii. Estimate the maximum volume for this box? Tip: Use a graphing tool like www.Desmos.com. * cubic inches Preview

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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a. Suppose the paper is 11"-wide by 13"-long. Let a represent the length of the side of the square cutout (in inches), and let V represent the
volume of the box (in cubic inches).
i. Write a formula that expresses V in terms of x.
V = x(11-2x)(13-2x)
ii. If the cutout length increases from 0.5 to 2.6 inches, how much does the volume of the box change by?
14.0608
|1 cubic inches
Preview
iii. Estimate the maximum volume for this box?
Tip: Use a graphing tool like www.Desmos.com.
* cubic inches
Preview
Transcribed Image Text:a. Suppose the paper is 11"-wide by 13"-long. Let a represent the length of the side of the square cutout (in inches), and let V represent the volume of the box (in cubic inches). i. Write a formula that expresses V in terms of x. V = x(11-2x)(13-2x) ii. If the cutout length increases from 0.5 to 2.6 inches, how much does the volume of the box change by? 14.0608 |1 cubic inches Preview iii. Estimate the maximum volume for this box? Tip: Use a graphing tool like www.Desmos.com. * cubic inches Preview
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