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Solve the following problems with the second parti a) Find the points on the surface x²y²z = 1 cl b). Find three positive numbers which sum is 10 Find three positive numbers which sum is 10

Solve the following problems with the second parti a) Find the points on the surface x²y²z = 1 cl b). Find three positive numbers which sum is 10 Find three positive numbers which sum is 10

Advanced Engineering Mathematics
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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1. Solve the following problems with the second partial derivative test and with Lagrange's method. a) . Find the points on the surface x²y²z = 1 closest to the origin. b) . Find three positive numbers which sum is 100 and which product is maximum. c) . Find three positive numbers which sum is 100 and the product xªy¹zº is maximum.
Transcribed Image Text:1. Solve the following problems with the second partial derivative test and with Lagrange's method. a) . Find the points on the surface x²y²z = 1 closest to the origin. b) . Find three positive numbers which sum is 100 and which product is maximum. c) . Find three positive numbers which sum is 100 and the product xªy¹zº is maximum.
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