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(x, y) = x^{2} + y^{2} − 2y +
1 on R = {(x, y)|x^{2} +
y^{2} ≤ 81}

Answer #1

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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) =
x3 − 9xy −
y3 on R
= {(x, y): −4 ≤
x ≤ 4, −4 ≤ y ≤ 4}

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 extrema (maximum and minimum) of the given function
f(x,y) = 3cos(x2 - y2) subject to
x2 + y2=4.
Thank you!

Identify any extrema of the function by recognizing its given
form or its form after completing the square. Verify your results
by using the partial derivatives to locate any critical points and
test for relative extrema.
f(x, y) = x2 + y2 + 18x − 2y + 1

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

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!

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

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