A package to be mailed using a certain postal service may not measure more than 114 inches in length plus girth. (Length is the longest dimension and girth is the largest distance around the package, perpendicular to the length.) Use Lagrange multipliers to find the exact dimensions (in inches) of the cylindrical mailing tube of greatest volume that may be mailed using the postal service. radius length J girth length in in

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter11: Introduction To Trigonometry
Section11.4: Applications With Acute Triangles
Problem 45E
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A package to be mailed using a certain postal service may not measure more than 114 inches in length plus girth. (Length is the longest dimension and girth is the largest
distance around the package, perpendicular to the length.)
Use Lagrange multipliers to find the exact dimensions (in inches) of the cylindrical mailing tube of greatest volume that may be mailed using the postal service.
radius
length
f
girth
length
in
in
Transcribed Image Text:A package to be mailed using a certain postal service may not measure more than 114 inches in length plus girth. (Length is the longest dimension and girth is the largest distance around the package, perpendicular to the length.) Use Lagrange multipliers to find the exact dimensions (in inches) of the cylindrical mailing tube of greatest volume that may be mailed using the postal service. radius length f girth length in in
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