Question

Find the absolute maximum and minimum values of the function f(x) = x^4-2x^2+1 on the interval [0,3]

Answer #1

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

2. Find the absolute maximum and minimum values of the function
f(x, y) = 2x^3 + y^4 on the unit disk.

Find the absolute maximum and minimum values of the following
function over the indicated interval, and indicate the x-values
at which they occur.
f(x)=1/3x^3+3/2x^2-4x+4 [-5,3]

Find the absolute maximum and absolute minimum values of f(x,y)
= x^2 + 2y^2 − 2x + 2 on the closed disk D: x^2 + y^2 ≤ 4.
Answer: absolute min: f(1, 0) = 1; absolute max: f(−1, ± √3) =
11

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]

Find the absolute maximum and absolute minimum values of f on
the given interval: x^4-8x^2+8 [-3, 4]
Absolute minimum:
Absolute maximum:

Find the absolute maximum and absolute minimum values of f on
the given interval. f(x)= ln(x^2+x+1), [-1,1]

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 absolute minimum values of f on
the given interval. f(x) = x4 − 2x2 + 1, [−2, 3] absolute minimum
Incorrect: Your answer is incorrect. absolute maximum Incorrect:
Your answer is incorrect.

Find the absolute maximum and minimum values of f on the set
D.
f(x,y)=2x^3 +y^4 +2, D== {(x,y)|?^2 + ?^2 ≤ 4}

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