Find the absolute maximum and minimum values of each function, if they exist, over the indicated interval. Also indicate the x-value at which each extremum occurs. 10 f(x) = 3 ¹x²+4x+1: (1,5) 41 2 Select the correct answer below and, if necessary, fill in any answer box(es) within your choice. OA. The absolute maximum value is at x = and the absolute minimum value is at x = (Use a comma to separate answers as needed. Type integers or decimals rounded to two decimal places as needed.) B. The absolute maximum value is at x = . There is no absolute minimum. (Use a comma to separate answers as needed. Type integers or decimals rounded to two decimal places as needed.) OC. The absolute minimum value is at x = There is no absolute maximum. (Use a comma to separate answers as needed. Type integers or decimals rounded to two decimal places as needed.) D. There are no absolute extrema.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Find the absolute maximum and minimum values of each function, if they exist, over the indicated interval. Also indicate the x-value at which each extremum occurs.
10
f(x) = x³ ¹x²+4x+1: (1.5)
41
2
Select the correct answer below and, if necessary, fill in any answer box(es) within your choice.
OA. The absolute maximum value is
at x =
, and the absolute minimum value is
at x =
(Use a comma to separate answers
as needed. Type integers or decimals rounded to two decimal places as needed.)
B. The absolute maximum value is at x = . There is no absolute minimum.
(Use a comma to separate answers as needed. Type integers or decimals rounded to two decimal places as needed.)
OC. The absolute minimum value is at x = There is no absolute maximum.
(Use a comma to separate answers as needed. Type integers or decimals rounded to two decimal places as needed.)
D. There are no absolute extrema.
Transcribed Image Text:Find the absolute maximum and minimum values of each function, if they exist, over the indicated interval. Also indicate the x-value at which each extremum occurs. 10 f(x) = x³ ¹x²+4x+1: (1.5) 41 2 Select the correct answer below and, if necessary, fill in any answer box(es) within your choice. OA. The absolute maximum value is at x = , and the absolute minimum value is at x = (Use a comma to separate answers as needed. Type integers or decimals rounded to two decimal places as needed.) B. The absolute maximum value is at x = . There is no absolute minimum. (Use a comma to separate answers as needed. Type integers or decimals rounded to two decimal places as needed.) OC. The absolute minimum value is at x = There is no absolute maximum. (Use a comma to separate answers as needed. Type integers or decimals rounded to two decimal places as needed.) D. There are no absolute extrema.
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