Question

Find the absolute extrema of the given function on the indicated
closed and bounded set *R*. (Order your answers from
smallest to largest *x*, then from smallest to largest
*y*.)

* f*(

Answer #1

Find the absolute extrema of the given function on the indicated
closed and bounded set R. (Order your answers from
smallest to largest x, then from smallest to largest
y.)
f(x, y) = x2 + y2 − 2y +
1 on R = {(x, y)|x2 +
y2 ≤ 81}

Find the absolute extrema of the function on the closed
interval. (Order your answers from smallest to largest x,
then from smallest to largest y.)
f(x) = sin(4x), [0, π]
minimum(x, y)=
(x, y)=
maximum(x, y)=
(x, y)=

Find the exact location of all the relative and absolute extrema
of the function. HINT [See Example 1.] (Order your answers from
smallest to largest x.)
g(x) = 4x3 − 12x + 6 with domain [−2, 2]

Find the exact location of all the relative and absolute extrema
of the function. HINT [See Examples 1 and 2.] (Order your answers
from smallest to largest t.)
h(t) = 58t3 + 87t2 with domain [−2,
+∞)
h has ____________________ (t, y) =
h has ____________________ (t, y) =
h has ____________________ (t, y) =
Choices:
Absolute minimum
Absolute maximum
Relative minimum
Relative maximum
No extremum

Find the absolute extrema of the function on the closed
interval
f(x)= 1 - | t -1|, [-7, 4]
minimum =
maximim =
f(x)= x^3 - (3/2)x^2, [-3, 2]
minimim =
maximim =
f(x)= 7-x, [-5, 5]
minimim =
maximim =

Find the absolute extrema of the function over the region
R.
f(x,y) =x^2−4xy+2
R= {(x,y): 1≤x≤4, 0≤y≤2}
Show plenty of steps please! If possible, fairly neat please!

Consider the function f(x)=−8x−(2888/x) on the interval [11,20].
Find the absolute extrema for the function on the given interval.
Express your answer as an ordered pair (x,f(x)). (Round your
answers to 3 decimal places.)

Find the absolute extrema of the function on the closed
interval. h(s) = 10 / (s − 3) , [0, 1]

Find the absolute extrema of the given function in the given
interval
f(x) = 4x3+3x2-18x+3 , ( 1/2,3)

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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