Question

Find all local maximum or local minimum or saddle point for f(x,y)=
8y^3 + 12x^2 -24xy

Answer #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) = x^3y+24x^2-8y
1. local maximum value(s)
2. local minimum value(s)
3. saddle point(s) (x,y,f)

Find the local maximum and minimum values and saddle point(s) of
the function f ( x , y ) = f(x,y)=xe^(-2x2-2y2). If there are no
local maxima or minima or saddle points, enter "DNE."
The local maxima are at ( x , y ) = (x,y)= .
The local minima are at ( x , y ) = (x,y)= .
The saddle points are at ( x , y ) =

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) =
4y
cos(x), 0 ≤
x ≤ 2π
Find:
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 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) = xy + 8/x+8/y
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 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) = xy + 64/x+64/y
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 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) =
y2 − 4y
cos(x), −1 ≤
x ≤ 7
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 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) = 4y cos(x), 0 ≤ x ≤ 2π 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 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) =
y2 − 4y cos
x, −1 ≤
x ≤ 7
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 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) = 2x3 − 6x + 6xy2
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 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 − 48xy +
64y3
local
maximum value(s)
local
minimum value(s)
saddle
point(s)
(x, y,
f)
=

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