this is my only only attempt I really need help Find the maximum of f(x, y, z) = x +y + z subject to the two constraints x² + y² + z² = 5 and 1x² + y² + 6z² = 5.(Use decimal notation. Round your answer to three decimal places.)maximum:

Method of Lagrange's MultipliersWe have Assume

Answered: Find the maximum of f(x, y, z)= x + y +…

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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Task 10: The school is installing whiteboards in 5 classrooms, Whiteboards, including their borders, are 6 feet wide by 10 feet long. The borders, which are 0.5 fl wide, will not be varnished. The whiteboards can be varnished to resist stains for 40 cents per square foot or can be varnished to avoid glare from ceiling lights for 25 cents per square foot. If each room gets one whiteboard, how much more expensive will it be to varnish the whiteboards for stains than to varnish them for glare?

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Find the maximum of f(x, y, z)= x + y + z subject to the two constraints x² + y² +z² (Use decimal notation. Round your answer to three decimal places.) maximum: