Use a graph or level curves or both to find the local maximum and minimum values and saddle points of the function. Then use calculus to find these values precisely. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x, y) = sin x + sin y + sin(x + y) + 2, 0≤x≤ 2π, 0≤ y ≤ 2π local maximum value(s) local minimum value(s) saddle point(s) (X, Y,= (₁,2) X X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Use a graph or level curves or both to find the local maximum and minimum values and saddle points of the function. Then
use calculus to find these values precisely. (Enter your answers as a comma-separated list. If an answer does not exist,
enter DNE.)
f(x, y) = sin x + sin y + sin(x + y) + 2, 0 ≤x≤ 2π, 0≤y≤ 2π
local maximum value(s)
local minimum value(s)
saddle point(s)
(x, y, f) =
(1,1,2)
X
X
Transcribed Image Text:Use a graph or level curves or both to find the local maximum and minimum values and saddle points of the function. Then use calculus to find these values precisely. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x, y) = sin x + sin y + sin(x + y) + 2, 0 ≤x≤ 2π, 0≤y≤ 2π local maximum value(s) local minimum value(s) saddle point(s) (x, y, f) = (1,1,2) X X
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