Question
In: Math
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
f(x, y) = 7 − x4 + 2x2 − y2
Solutions
Expert Solution
So the critical point of the function f(x,y) is (0,0),(1,0), (-1,0)
We see that the function has a maximum value is equal to 8 & it occurs at (1,0) as well as (-1,0)
The minimum value of the function is DNE. 
milcah answered 2 years agoRelated Solutions
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
Find the local maximum and minimum values and saddle point(s) of
the function. If you have three-dimensional graphing software,
graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
f(x, y) =
x3 + y3 −
3x2 − 9y2
− 9x
local maximum value(s)
local minimum value(s)
saddle point(s)
(x, y, f)
=
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
Find the local maximum and minimum values and saddle point(s) of
the function. If you have three-dimensional graphing software,
graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
f (x, y) = x2 + xy + y2 + 8y
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
Find the local maximum and minimum values and saddle point(s) of
the function. If you have three-dimensional graphing software,
graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
f(x, y) = 6 sin(x) sin(y), −π <
x < π, −π < y < π
local maximum value(s)
local minimum value(s)
saddle point(s)
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
Find the local maximum and minimum values and saddle point(s) of
the function. If you have three-dimensional graphing software,
graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
f(x, y) = 4(x2 + y2)ey2 − x2
local maximum value(s)=?
local minimum value(s) =?
saddle point(s) (x, y, f) =?
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
Find the local maximum and minimum values and saddle point(s) of
the function. If you have three-dimensional graphing software,
graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
f(x, y) =
2y
cos(x), 0 ≤
x ≤ 2π
local
maximum value(s)
local
minimum value(s)
saddle
point(s)
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
Find the local maximum and minimum values and saddle point(s) of
the function. If you have three-dimensional graphing software,
graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
1) f(x, y)
= 2x3 − 6x +
6xy2
2) f(x,
y) = x3 +
y3 − 3x2
− 6y2 − 9x
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
Find the local maximum and minimum values and saddle point(s) of
the function. If you have three-dimensional graphing software,
graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
1)f(x, y)
= 6y
cos(x), 0 ≤
x ≤ 2π
2)f(x, y) =
y2 − 6y
cos(x), −1 ≤
x ≤ 7
3)f(x, y) = 6 sin(x) sin(y), −π
< x <...
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
Find the local maximum and minimum values and saddle point(s) of
the function. If you have three-dimensional graphing software,
graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
f(x, y) = 9y cos(x), 0 ≤ x ≤ 2π
local maximum?
local minimum?
saddle point(s)?
Find the local maximum and minimum values and saddle point(s) of
the function....
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
Find the local maximum and minimum values and saddle point(s) of
the function. If you have three-dimensional graphing software,
graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.) f(x,
y) = 5(x2 + y2)ey2 − x2 local maximum value(s) Correct: Your answer
is correct. local minimum value(s) Incorrect: Your answer is
incorrect. saddle point(s) (x, y, f)...
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
Find the local maximum and minimum values and saddle point(s) of
the function. If you have three-dimensional graphing software,
graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.) f(x,
y) = 3x^3 − 9x + 9xy^2
local maximum value(s)
local minimum value(s)
saddle point(s)
(x, y, f) =
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