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The function f(x, y) = x² + 2y¹ + 8y² − 4xy² has stationary points at some of the following points. In each case identi whether the point is stationary, and if so whether it is a maximum, minimum ‹ saddle point. (a) (x, y) = (0,0) (b) (x,y)=(√2, 4) (c) (x, y) = (4. √/2)

The function f(x, y) = x² + 2y¹ + 8y² − 4xy² has stationary points at some of the following points. In each case identi whether the point is stationary, and if so whether it is a maximum, minimum ‹ saddle point. (a) (x, y) = (0,0) (b) (x,y)=(√2, 4) (c) (x, y) = (4. √/2)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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The function f(x, y) = x² + 2y¹ + 8y² − 4xy² has stationary points at some of the following points. In each case identify whether the point is stationary, and if so whether it is a maximum, minimum or saddle point. (a) (x, y) = (0,0) (b) (x, y) =(√2, 4) (c) (x, y) = (4, √√2)
Transcribed Image Text:The function f(x, y) = x² + 2y¹ + 8y² − 4xy² has stationary points at some of the following points. In each case identify whether the point is stationary, and if so whether it is a maximum, minimum or saddle point. (a) (x, y) = (0,0) (b) (x, y) =(√2, 4) (c) (x, y) = (4, √√2)
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