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Find, by the method of Lagrange multipliers, the critical points of the function, subject to the given constraint. f(x,y) = x² +24y² +2; 8x-24y = 32 The critical point(s) of the function is/are (Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

Find, by the method of Lagrange multipliers, the critical points of the function, subject to the given constraint. f(x,y) = x² +24y² +2; 8x-24y = 32 The critical point(s) of the function is/are (Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

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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Subject  :- Advance Mathematic 

Find, by the method of Lagrange multipliers, the critical points of the function, subject to the given constraint. f(x,y)=x² +24y²+2; 8x-24y = 32 The critical point(s) of the function is/are (Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
Transcribed Image Text:Find, by the method of Lagrange multipliers, the critical points of the function, subject to the given constraint. f(x,y)=x² +24y²+2; 8x-24y = 32 The critical point(s) of the function is/are (Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
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