Question
In: Math
1) Find the maximum and minimum values of the function y = 13x3 + 13x2 −...
1) Find the maximum and minimum values of the function y = 13x3 + 13x2 − 13x on the interval [−2, 2].
2) Find the minimum and maximum values of the function f(x) = 4 sin(x) cos(x) + 8 on the interval [0, pi/2].
3) Find the maximum and minimum values of the function y = 5 tan(x) − 10x on the interval [0, 1]
4) Find the maximum and minimum values of the function f(x) =ln(x)/x on the interval [1,4]
5) Find the maximum and minimum values of the function y = |x − 16| on the interval [0, 17] by comparing values at the critical points and endpoints.
Solutions
milcah answered 2 years agoRelated Solutions
Find the absolute maximum and minimum values for the function f(x, y) = xy on the...
Find the absolute maximum and minimum values for the
function
f(x, y) = xy on the rectangle R defined by −8 ≤ x ≤ 8,
−8 ≤ y ≤ 8.
1.) Find the local maximum and minimum values and saddle point(s) (x,y,f) of the function. If...
1.) Find the local maximum and minimum values and saddle
point(s) (x,y,f) 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
2.)Find the local maximum and minimum values and saddle
point(s)(x,y,f) of the function. If...
Find the absolute maximum and absolute minimum values of the function, if they exist, on the...
Find the absolute maximum and absolute minimum values of the
function, if they exist, on the indicated interval. 6) f(x) = x 4 -
32x 2 + 2; [-5, 5]
Find the absolute maximum and minimum values of the function f(x, y) = x^2 + ((4/3)...
Find the absolute maximum and minimum values of the function
f(x, y) = x^2 + ((4/3) y^3) − 1 on the disk x^2 + y^2 ≤ 1.
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) =
x3 + y3 −
3x2 − 9y2
− 9x
2) Find the absolute maximum and minimum values of f on
the set D.
f(x, y)...
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 absolute maximum and minimum values of the function, if they exist, over the indicated...
Find the absolute maximum and minimum values of the function, if
they exist, over the indicated interval.
Where no interval is specified, use the real line.
a)?(?)=−8x^3 + 9x^2 + 6x - 5; [−2,0]
b) ?(?)= x^2 + 2/x ; (0 ,∞)
Problem 2 Find the locations and values for the maximum and minimum of f (x, y)...
Problem 2
Find the locations and values for the maximum and minimum of f
(x, y) = 3x^3 − 2x^2 + y^2 over the region given by x^2 + y^2 ≤
1.
and then over the region x^2 + 2y^2 ≤ 1.
Use the outline:
INSIDE
Critical points inside the region.
BOUNDARY
For each part of the boundary you should have:
• The function g(x, y) and ∇g
• The equation ∇f = λ∇g
• The set of three equations...
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