Question
In: Advanced Math
Find all local extreme values of the given function and identify each as a local maximum,...
Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point of the next functions.
1) f(x, y) = e-(x2 + y2 - 16x)
2) f(x, y) = x2 + 100 - 20x cos y; -π < y < π
Solutions
Colby Messinger answered 2 years agoRelated Solutions
For each function given below, find the open intervals of increase/decrease, all local extreme values, the...
For each function given below, find the open intervals of
increase/decrease, all local extreme values, the intervals of
concavity, and inflection points.
(a) f(x) = x^2 + 2/x
(b) f(x) = xe^-x
Find (without using a calculator) the absolute extreme values of the function on the given interval....
Find (without using a calculator) the absolute extreme
values of the function on the given interval.
f(x) = 3x2 − x3 on [0, 3]
Find the local maximum and minimum values of the function. Tell the intervals where the graph...
Find the local maximum and minimum values of the function.
Tell the intervals where the graph of the function is increasing
and decreasing
f(x)= 2x^3 +3x^2 - 12x
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)
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...
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
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