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)
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)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 92E
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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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