|CAS 47-48 Find the maximum and minimum values of f subject to the given constraints. Use a computer algebra system to solve the system of equations that arises in using Lagrange multipliers. (If your CAS finds only one solution, you may need to use addi- tional commands.) 47. f(x, y, z) = ye²=; 9x² + 4y² + 36z² = 36, xy + yz = 1 48. f(x, y, z) = x + y + z; x? – y² = z, x² + z² = 4

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please explain quesiton 48 please

CAS 47-48 Find the maximum and minimum values of f subject to
the given constraints. Use a computer algebra system to solve
the system of equations that arises in using Lagrange multipliers.
(If your CAS finds only one solution, you may need to use addi-
tional commands.)
47. f(x, y, z) = ye²-; 9x² + 4y2 + 36z? = 36, xy + yz = 1
48. f(x, y, z) = x + y + z; x² – y? = z, x² + z² = 4
Transcribed Image Text:CAS 47-48 Find the maximum and minimum values of f subject to the given constraints. Use a computer algebra system to solve the system of equations that arises in using Lagrange multipliers. (If your CAS finds only one solution, you may need to use addi- tional commands.) 47. f(x, y, z) = ye²-; 9x² + 4y2 + 36z? = 36, xy + yz = 1 48. f(x, y, z) = x + y + z; x² – y? = z, x² + z² = 4
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