#5. A rectangular box with no lid will be made of cardboard and have a surface area of 24 square feet. Find the dimensions that will have the maximum possible volume. Use Lagrange multipliers.
#5. A rectangular box with no lid will be made of cardboard and have a surface area of 24 square feet. Find the dimensions that will have the maximum possible volume. Use Lagrange multipliers.
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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Transcribed Image Text:#5. A rectangular box with no lid will be made of cardboard and have a surface area of 24 square feet.
Find the dimensions that will have the maximum possible volume. Use Lagrange multipliers.
nt
#6. Consider the point P(5, -8, 0) and the sphere x² + y² + z² = 9. Find the point on the sphere that is
closest to the point P and the point on the sphere that is the farthest from the point P.
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The rectangular box with no lead has a surface area of
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