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2. According to postal regulations, a carton is classified as "oversize" if the sum of its height and the perimeter of its base exceeds 108. Find the dimensions of a carton with square base that is not oversize and has maximum volume. Show all commands!! (Hint: Set the volume as your primary equation and the sum of the base perimeter and the height as the secondary equation.)

2. According to postal regulations, a carton is classified as "oversize" if the sum of its height and the perimeter of its base exceeds 108. Find the dimensions of a carton with square base that is not oversize and has maximum volume. Show all commands!! (Hint: Set the volume as your primary equation and the sum of the base perimeter and the height as the secondary equation.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Find the point (x, y) on the curve f(x) = 10-25/2 that is closest to the -1. Show all commands!! (use the distance formula d² = (x2-x1)² + (y2-y₁)² as your primary equation and y= 10-25/2 as your secondary equation.) 2. According to postal regulations, a carton is classified as "oversize" if the sum of its height and the perimeter of its base exceeds 108. Find the dimensions of a carton with square base that is not oversize and has maximum volume. Show all commands!! (Hint: Set the volume as your primary equation and the sum of the base perimeter and the height as the secondary equation.)
Transcribed Image Text:1. Find the point (x, y) on the curve f(x) = 10-25/2 that is closest to the -1. Show all commands!! (use the distance formula d² = (x2-x1)² + (y2-y₁)² as your primary equation and y= 10-25/2 as your secondary equation.) 2. According to postal regulations, a carton is classified as "oversize" if the sum of its height and the perimeter of its base exceeds 108. Find the dimensions of a carton with square base that is not oversize and has maximum volume. Show all commands!! (Hint: Set the volume as your primary equation and the sum of the base perimeter and the height as the secondary equation.)
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