Find the absolute extrema if they exist, as well as all values of x where they occur, for the function f(x)=-2x^2 + 36lnx on the domain [1,10]. 1) A. The absolute maximum is which occurs at x=_ (Round the absolute maximum to two decimal places as needed. Type an exact answer for the value of x where the maximum occurs. Use a comma to separate answers as needed.) B. There is no absolute maximum. 2) A. The absolute minimum is which occurs at x= (Round the absolute minimum to two decimal places as needed. Type an exact answer for the value of x where the maximum occurs. Use a comma to separate answers as needed.) B. There is no absolute minimum.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 61E
icon
Related questions
Question
I need help on my homework
Find the absolute extrema if they exist, as well
as all values of x where they occur, for the
function f(x)=-2x^2 + 36lnx on the domain
[1,10].
1)
A. The absolute maximum is
which
occurs at x=_
(Round the absolute maximum to two decimal
places as needed. Type an exact answer for
the value of x where the maximum occurs. Use
a comma to separate answers as needed.)
B.
There is no absolute maximum.
2)
A. The absolute minimum is
which
occurs at x=
(Round the absolute minimum to two decimal
places as needed. Type an exact answer for
the value of x where the maximum occurs. Use
a comma to separate answers as needed.)
B.
There is no absolute minimum.
Transcribed Image Text:Find the absolute extrema if they exist, as well as all values of x where they occur, for the function f(x)=-2x^2 + 36lnx on the domain [1,10]. 1) A. The absolute maximum is which occurs at x=_ (Round the absolute maximum to two decimal places as needed. Type an exact answer for the value of x where the maximum occurs. Use a comma to separate answers as needed.) B. There is no absolute maximum. 2) A. The absolute minimum is which occurs at x= (Round the absolute minimum to two decimal places as needed. Type an exact answer for the value of x where the maximum occurs. Use a comma to separate answers as needed.) B. There is no absolute minimum.
Expert Solution
steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning