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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.)

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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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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