Question

1. Find the absolute maximum and minimum values of each function on the given interval SHOW WORK

f(x)=√(16-x^2 ),0≤x≤3

2. ** Maximum Height of Vertically Moving
Body:** The height of a body moving vertically is given
by

3. ** Checking the Mean Value Theorem:**
Find the value or values of c that satisfy the equation

C: ________________

Answer #1

Find the absolute maximum and absolute minimum values of f on
the given interval. f(x) = 3x^2 − 18x + 8, [0, 8] absolute minimum
value.

Find the absolute minimum and the absolute maximum of the
function on the interval given. (Round your answers to four decimal
places.)
f(x) = 2xe−x on [0, 4]. (and yes i do mean
^-x)

Find the absolute maximum and absolute minimum values of f on
the given interval.
f(x) = xe-x^2/128, [-3,16]

Find the absolute maximum and minimum values of the function
over the indicated interval, and indicate the x-values at which
they occur.
f(x)=(x+3)2/3−5 ; [-5,6]
The absolute maximum value is ___ at x=___
(Round to two decimal places as needed. Use a comma to separate
answers as needed.)

find the absolute maximum and absolute minimum values of f on the
given interval
f(x) = x^4-2x^2+1 [-2,3]

Find the absolute maximum and minimum values of the following
function on the given interval. If there are multiple points in a
single category list the points in increasing order in x value and
enter N in any blank that you don't need to use. f(x)=3(x2−1)3,
[−1,2]
Absolute maxima
x = y =
x = y =
x= y =
Absolute minima
x = y =
x = y =
x = y =

Find the absolute maximum and absolute minimum values of
f on the given interval. (Round your answers to two
decimal places.)
f(x) = ln(x2 + 5x
+ 7)
[-3, 3]

Find the absolute maximum and absolute minimum values of
f on the given interval.
f(x) = 4x3 −
12x2 − 36x +
6,
[−2, 4]

Find the absolute maximum and minimum values of each function
over the indicated interval, and indicate the x-values at which
they occur.
f(x) = 3x^3 - 3x^2 - 3x + 7 ; [-1 , 0]
The absolute maximum value is _ at x = _
(Use a comma to separate answers as needed. Type an integer or
a fraction.)

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 − x^2/3
Find the absolute maximum and absolute minimum values of the
function below. If an absolute maximum or minimum does not exist,
enter NONE.
f(x) = x3 - 12x on the
closed interval [-3,5]

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