An open top box is to be made from 48 m of wood with dimensions x, y and z as shown in figure. Using the Lagrange multiplier method to find the maximum volume of this box. (al ( al

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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1. An open top box is to be made from 48 m of wood with dimensions x, Y and z as shown in figure.
Using the Lagrange multiplier method to find the maximum volume of this box.
2. If k = w3 – wv?, w= xy,
v = w+ x, find
and
using:
dw
a) the chain rule
b) differentials.
Transcribed Image Text:1. An open top box is to be made from 48 m of wood with dimensions x, Y and z as shown in figure. Using the Lagrange multiplier method to find the maximum volume of this box. 2. If k = w3 – wv?, w= xy, v = w+ x, find and using: dw a) the chain rule b) differentials.
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