Let f(x, y) = 1 + 2x² - cos(4y). Find all critical points and classify them as local maxima, local minima, saddle points, or none of these. critical points: (give your points as a comma separated list of (x,y) coordinates. if your answer includes points that occur at a sequence of values, e.g., at every odd integer, or at any constant multiple of another value, use m for any non-zero even integer, n for any non-zero odd integer, and/or k for other arbitrary constants.) classifications: (give your answers in a comma separated list, specifying maximum, minimum, saddle point, or none for each, in the same order as you entered your critical points)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 2E
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Let
f(x, y) = 1 + 2x² - cos(4y).
Find all critical points and classify them as local maxima, local
minima, saddle points, or none of these.
critical points:
(give your points as a comma separated list of (x,y) coordinates. if
your answer includes points that occur at a sequence of values, e.g.,
at every
odd integer, or at any constant multiple of another value,
use m for any non-zero even integer, n for any non-zero odd
integer, and/or k for other arbitrary constants.)
classifications:
-
(give your answers in a comma separated list, specifying maximum,
minimum, saddle point, or none for each, in the same order as you
entered your critical points)
Transcribed Image Text:Let f(x, y) = 1 + 2x² - cos(4y). Find all critical points and classify them as local maxima, local minima, saddle points, or none of these. critical points: (give your points as a comma separated list of (x,y) coordinates. if your answer includes points that occur at a sequence of values, e.g., at every odd integer, or at any constant multiple of another value, use m for any non-zero even integer, n for any non-zero odd integer, and/or k for other arbitrary constants.) classifications: - (give your answers in a comma separated list, specifying maximum, minimum, saddle point, or none for each, in the same order as you entered your critical points)
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