a. An open-topped rectangular container is to have a volume of 32 cubic meters. Find the dimensions of the container having the smallest surface area.
a. An open-topped rectangular container is to have a volume of 32 cubic meters. Find the dimensions of the container having the smallest surface area.
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:9.
a. An open-topped rectangular container is to have a volume of 32 cubic meters. Find the
dimensions of the container having the smallest surface area.
b. The temperature T at a point (x, y, z) on the sphere x² + y² + z² = 1 is given by
T(x, y, z) = 400xyz². What are the maximum and minimum temperatures?
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