Question
In: Math
1) Find the local maximum and minimum values and saddle point(s) of the function. If you...
1) 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
2) Find the absolute maximum and minimum values of f on the set D.
f(x, y) = x2 + y2 + x2y + 7,
D = {(x, y) | |x| ≤ 1, |y| ≤ 1}
Solutions
milcah answered 2 years agoRelated Solutions
1) Find the local maximum and minimum values and saddle point(s) of the function. If you...
1) 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) =
7y
cos(x), 0 ≤
x ≤ 2π
local maximum value(s)
local minimum value(s)
saddle point(s)
(x, y, f)
=
2)
Find the local maximum...
1. Find the local maximum and minimum values and saddle point(s) of the function. If you...
1. 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 − 2x +
4y − x2 − 4y2
2. Find the local maximum and minimum values and saddle point(s)
of the function. If you...
1. Find the local maximum and minimum values and saddle point(s) of the function. If you...
1. 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 − 6y2
− 9x
2. Find the local maximum and minimum values
and saddle point(s) of the function. If you...
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 <...
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