Question
In: Math
1- Use calculus to find the absolute maximum and minimum values of the following functions on...
1- Use calculus to find the absolute maximum and minimum values of the following functions on the given intervals. Give your answers exactly and show supporting work.
f(x) = (7x − 1)e^−2x on [0, 1]
f(x) = x^4 − 2x^2 + 4 on [0, 2]
f(x) = x^3 − 2x^2 + x + 1 on [0, 1]
Solutions
milcah answered 2 years agoRelated Solutions
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]
Use the method of Lagrange multipliers to find the absolute maximum and minimum values of the...
Use the method of Lagrange multipliers to find the absolute
maximum and minimum values of the function f(x, y, z) = x^2yz^2
subject to the constraint 2x ^2 + 3y^ 2 + 6z^ 2 = 33
use the method of Lagrange multipliers to find the absolute maximum and minimum values of the...
use the method of Lagrange multipliers to find the absolute
maximum and minimum values of the function subject to the given
constraints f(x,y)=x^2+y^2-2x-2y on the region x^2+y^2≤9 and
y≥0
Use Lagrange multipliers to find the minimum and maximum values for the following functions subject to...
Use Lagrange multipliers to find the minimum and maximum values
for the following functions subject to the given constaints.
a) f(x,y) = 8x2+y2 ; x4+y4
= 4
b) f(x,y,z) = 2z-8x2 ;
4x2+y2+z2 = 1
c) f(x,y,z) = xyz ; x2+4y2+3z2
= 36
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) =...
Find the absolute maximum and absolute minimum values of
f on the given interval.
f(x) = x3 − 5x + 8, [0, 3]
absolute minimum value
absolute maximum value
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) =...
Find the absolute maximum and absolute minimum values of
f on the given interval.
f(x) = x3 − 6x2 + 9x +
4, [−1, 8]
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) =...
Find the absolute maximum and absolute minimum values of
f on the given interval.
f(x) = 4x3 −
6x2 − 144x +
5,
[−4, 5]
absolute minimum
absolute maximum
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 ,∞)
1. Find the derivative. f(x) = x6 · 3x 2. Find the absolute maximum and minimum values...
1. Find the derivative.
f(x) = x6 ·
3x
2. Find the absolute maximum and
minimum values on the closed interval [-1,8] for the function
below. If a maximum or minimum value does not exist, enter
NONE.
f(x) = 1 − x2/3
3. Find the derivative.
f(x) = x5 ·
e6x
Consider the following.
f(x) = -19ln(84x)
Compute f '(x), then find the exact value of
f ' (3).
Find the absolute maximum and minimum values of f on the set D. Also note the...
Find the absolute maximum and minimum values of f on the set D.
Also note the point(s) where these absolute maximum and minimum
values are located. f(x, y) = 9x^2 + 36x^2 y - 4y - 1 D is the
region described as follows: D = { (x,y) | -2 < x < 3; -1
< y < 4}
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