Each of the following functions has at most one critical point. Graph a few level curves and a few gradiants and, on this basis alone, decide whether the critical point is a local maximum (MA), a local minimum (MI), or a saddle point (S). Enter the appropriate abbreviation for each question, or N if there is no critical point. 1. f(x, y) =e-3x²-4y² Type of critical point: 2. f(x, y) e³x²-4y² = Type of critical point: 3. f(x, y) = 3x² + 4y² + 4 Type of critical point:
Each of the following functions has at most one critical point. Graph a few level curves and a few gradiants and, on this basis alone, decide whether the critical point is a local maximum (MA), a local minimum (MI), or a saddle point (S). Enter the appropriate abbreviation for each question, or N if there is no critical point. 1. f(x, y) =e-3x²-4y² Type of critical point: 2. f(x, y) e³x²-4y² = Type of critical point: 3. f(x, y) = 3x² + 4y² + 4 Type of critical point:
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Transcribed Image Text:Each of the following functions has at most one critical point. Graph a few level curves and a few gradiants
and, on this basis alone, decide whether the critical point is a local maximum (MA), a local minimum (MI), or a
saddle point (S). Enter the appropriate abbreviation for each question, or N if there is no critical point.
-3x²-4y²
= e
1. f(x, y)
Type of critical point:
2. f(x, y) = e³x²—4y²
Type of critical point:
3. f(x, y) = 3x² + 4y² + 4
Type of critical point:
4. f(x, y)
=
3x + 4y + 4
Type of critical point:
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