Question

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

Answer #1

(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

Consider the function
f(x)=3−7x2, −3≤x≤2
The absolute maximum value is
and this occurs at x=
The absolute minimum value is
and this occurs at x =

Consider the function f(x)=6x^2−4x+11, on the interval
, 0≤x≤10.
The absolute maximum of f(x) on the given interval is at x =
The absolute minimum of f(x) on the given interval is at x =

The function f(x,y)=4x-4y has an absolute maximum value and
absolute minimum value subject to the constraint x^2-xy+y^2=9. Use
Lagrange multipliers to find these values.

Consider the function f(x) = x3 − 2x2 − 4x + 9 on the interval
[−1, 3].
Find f '(x). f '(x) = 3x2−4x−4
Find the critical values. x =
Evaluate the function at critical values. (x, y) =
(smaller x-value)
(x, y) =
(larger x-value)
Evaluate the function at the endpoints of the given
interval.
(x, y) =
(smaller x-value)
(x, y) =
(larger x-value)
Find the absolute maxima and minima for f(x) on the interval
[−1, 3].
absolute...

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.

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

The function
f(x,y)equals=8 x squared plus y squared
has an absolute maximum value and absolute minimum value subject
to the constraint
x squared plus 7 y plus y squared=44.
Use Lagrange multipliers to find these values.

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 }...

1. Find the absolute maximum value and the absolute minimum
value,if any, of each function.
(a) f(x) = -x2+ 4x + 6 on [0, 5]
(b) g(x)= x+1 / x−1 on [2, 4]

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