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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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
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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