Question

Consider the function
f(x)=3−7x^{2}, −3≤x≤2

The absolute maximum value is

and this occurs at x=

The absolute minimum value is

and this occurs at x =

Answer #1

Consider the function f(x)=x^7e^4x, −4≤x≤3. The absolute maximum
value is and this occurs at x equals The absolute minimum value is
and this occurs at x equals

(1 point) Consider the function f(x)=2−5x^2,−4≤x≤2
The absolute maximum value is
and this occurs at x equals
The absolute minimum value is
and this occurs at x equals

1. The absolute maximum value of f(x) = x 3 − 3x 2 + 12 on the
interval [−2, 4] occurs at x =? Show your work.
2.t. Let f(x) = sin x + cos2 x. Find the absolute maximum, and
absolute minimum value of f on [0, π]. Show your work.
Absolute maximum:
Absolute minimum:
3.Let f(x) = x √ (x − 2). The critical numbers of f are_______.
Show your work.

Find the absolute maximum value and the absolute minimum value
of the function f ( x , y ) = x 2 y 2 + 3 y on the set D defined as
the closed triangular region with vertices ( 0 , 0 ), ( 1 , 0 ),
and ( 1 , 1 ), that is, the set D = { ( x , y ) | 0 ≤ x ≤ 1 , 0 ≤ y
≤ x }...

consider the function f(x)=x^4-18x^2+9 and find the
absolute maximum and absolute minimum if -2</=x</=-7

Find the maximum value and the absolute minimum value of the
function f(x)=x^2-(1/x) on the interval [-2.25,-0.25]

Find the absolute maximum and absolute minimum of the
function
f(x) = x 3 − 6x 2 + 5
on interval [3, 6]
This problem is from chapter 4 of calculus early
transcendentals

find the absolute maximum value and absolute minimum values of
the function f(x,y)4xy^2-x^2y^2-xy^3 on the set D, where D is the
closed trianglar region in the xy-plane with certices
(0,0)(0,6)(6,)0

What are the absolute maximum and minimum values of the
function
f(x, y) = (x+ 3)^2+ (y−1)^2 on the region enclosed by the circle
(x−1)^2+ (y+ 2)^2= 4?

Find the absolute maximum value and the absolute minimum value
of the function f(x,y)=(1+x2)(1−y2) on the disk
D={(x,y) | x2+y2⩽1}

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