Question

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) = x^2+y^2+(x^-2)(y^-2)+3

Answer #1

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) = x^2 + y^2 + x^−2y^−2 + 9

Use a graph and/or level curves 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) + cos(x + y) +
9, 0 ≤ x ≤ π/4, 0 ≤ y
≤ π/4

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 − 5x − 5y
− x2 −
y2
local
maximum value(s)
local
minimum value(s)
DNE
saddle
point(s)
(x, y,
f)
=DNE

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) = 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)
=

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) =
6ey(y2
− 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 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)
=

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