Question

1. If f (x)= ln(3x^2 -2x +9), find the absolute minimum and absolute maximum on [-2,2]

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Answer #1

Find the absolute maximum and absolute minimum values (if they
exist) of f(x) = ln x/x on the interval (0, ∞).

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 absolute minimum valued
of f(x) = (x^2-9)/(x^2+9) on the interval [-5, 5]

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

Find the absolute maximum value and absolute minimum value of
f(x,y) = x2 +2y2−2x−4y+1 on the region D = {(x,y) ∈ R2 : 0 ≤ x ≤
2,|y−1.5|≤ 1.5}

Calculate the following: absolute maximum, absolute minimum
values of f(x, y) = 2x^2y on -> 2x^2+y^2=6

1) Find the absolute maximum value and the absolute
minimum, if any, of the given function. f(x) = 2x 3 − 3x 2 − 36x +
5 on [−1, 4]
2) A manufacturer of a certain commodity has estimated
that her profit in thousands of dollars is given by the expression
−2x 2 + 14x−6 where x (in thousands) is the number of units
produced. What is the maximum profit the manufacturer could realize
on the commodity?

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

Find the absolute maximum and minimum values of f(x)=
−x^3−3x^2+4x+3, if any, over the interval
(−∞,+∞)(−∞,+∞).
I know it doesn't have absolute maxima and minima but where do
they occur? In other words x= ? for the maxima and minima?

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