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In: Math
Find the absolute extrema if they exists, as well as all values of x, where they...
Find the absolute extrema if they exists, as well as all values of x, where they occur, for the function f(x)=1/3x^3+1/2x^2-12x+5 on domain [6,6]
Solutions
milcah answered 2 years agoRelated Solutions
For the function f(x)=ln(x)/x^2 on the interval [1,4] find the absolute extrema, as well as all values of x where they occur.
part 1)
For the function f(x)=ln(x)/x^2 on the interval [1,4] find the absolute extrema, as well as all values of x where they occur.
Absolute maximum of at x=
(If an extremum occurs at multiple values of xx, enter them as a comma-separated list like 5, 6, 8.)
part 2)
For the function f(x)=(x^2−16)^(2/3) on the interval [−5,8] find the absolute extrema, as well as all values of x where they occur.
Absolute maximum of at x=
part 3)
For the...
A/ Find the exact location of all the relative and absolute extrema of the function. HINT...
A/ Find the exact location of all the relative and absolute
extrema of the function. HINT [See Examples 1 and 3.] (Order your
answers from smallest to largest x.)
h(x) = 5(x − 1)2/3 with domain [0, 2]
B/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.)
k(x) = (2x/5)− (x − 1)2/5 with domain [0, + ∞]
C/Find the exact location of...
Find the exact location of all the relative and absolute extrema of the function. HINT [See...
Find the exact location of all the relative and absolute extrema
of the function. HINT [See Examples 1 and 3.] (Order your answers
from smallest to largest x.) h(x) = (x − 1)2/3 with domain [0, 2] h
has at (x, y) = . h has at (x, y) = . h has at (x, y) =
.
FOR ANSWER
please list the point and whether a
relative minimum a relative maximum an absolute minimum an
absolute maximum no extremum...
Find the exact location of all the relative and absolute extrema of the function. HINT [See...
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.)
f(x) = 117x4 − 78x3 with domain [−1,
+∞)
f has ---Select--- a relative minimum, a
relative maximum, an absolute minimum, an absolute maximum, no
extremum, at
(x, y) =
f has ---Select--- a relative minimum, a
relative maximum, an absolute minimum, an absolute maximum, no
extremum, at
(x, y) =
Find the exact location of all the relative and absolute extrema of the function. HINT [See...
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) = 2x3 − 6x + 3 with domain [−2, 2]
Use Lagrange multipliers to find the absolute extrema of f(x,y) = x2 + y2 - 2x...
Use Lagrange multipliers to find the absolute extrema of f(x,y)
= x2 + y2 - 2x - 4y + 5 on the region
x2 + y2 <= 9.
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) =...
Find the absolute maximum and absolute minimum values of
f on the given interval.
f(x) = x3 − 5x + 8, [0, 3]
absolute minimum value
absolute maximum value
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) =...
Find the absolute maximum and absolute minimum values of
f on the given interval.
f(x) = x3 − 6x2 + 9x +
4, [−1, 8]
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) =...
Find the absolute maximum and absolute minimum values of
f on the given interval.
f(x) = 4x3 −
6x2 − 144x +
5,
[−4, 5]
absolute minimum
absolute maximum
Find the relative extrema, if any, classify as absolute max/min. a.) f(x)= x+1/x-2 on [2,4] b.)...
Find the relative extrema, if any, classify as absolute
max/min.
a.) f(x)= x+1/x-2 on [2,4]
b.) f(x)= x^(2) -2x-3 on [-2,3]
c.) f(x)= x^(2/3) (x^2-4) on [-1,3]
Solve for x:
a.) 6^(2x) =36
b.) 2^(2x) -4 * 2^(x) +4=0
c.) 3^(x-x^2) =1/9x
Determine if the following statements are true or false. If it
is true, explain why. If it is false, provide an example.
a.) If a and b are positive numbers, then (a+b)^x=a^x+b^x
b.) If x < y, then...
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