Find the global maxima and minima of the following function f(x,y) within the closed region bounded by the circle of radius 1 around point (x, y) = (0,0): %3D f (x, y) = 6x² + y² + 2xy.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the global maxima and minima of the following function f(x, y) within the
closed region bounded by the circle of radius 1 around point (x, y) = (0,0):
f (x, y) = 6x² + y² + 2xy.
[Hint: On the boundary of the circle use polar coordinates to reduce the analysis
to a function of 0.]
Transcribed Image Text:Find the global maxima and minima of the following function f(x, y) within the closed region bounded by the circle of radius 1 around point (x, y) = (0,0): f (x, y) = 6x² + y² + 2xy. [Hint: On the boundary of the circle use polar coordinates to reduce the analysis to a function of 0.]
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