Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate the x-value at which each extremum occurs. If no interval is specified, use the real numbers, (- , 00). f(x) = 0.002x2 + 4.2x – 10 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute maximum is at x = and the absolute minimum is at x = (Use a comma to separate answers as needed.) O B. The absolute maximum is at x = and there is no absolute minimum. (Use a comma to separate answers as needed.) O C. The absolute minimúm is at x= and there is no absolute maximum. (Use a comma to separate answers as needed ) O D. There is no absolute maximum and no absolute minimum.
Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate the x-value at which each extremum occurs. If no interval is specified, use the real numbers, (- , 00). f(x) = 0.002x2 + 4.2x – 10 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute maximum is at x = and the absolute minimum is at x = (Use a comma to separate answers as needed.) O B. The absolute maximum is at x = and there is no absolute minimum. (Use a comma to separate answers as needed.) O C. The absolute minimúm is at x= and there is no absolute maximum. (Use a comma to separate answers as needed ) O D. There is no absolute maximum and no absolute minimum.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
13
![Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate the x-value at which each extremum occurs. If no interval is specified,
use the real numbers, (- ∞,00).
f(x) = 0.002x² + 4 2x – 10
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. The absolute maximum is
at x =
and the absolute minimum is
at x =
(Use a comma to separate answers as needed.)
O B. The absolute maximum is
at x =
and there is no absolute minimum,
(Use a comma to separate answers as needed.)
O C. The absolute minimúm is
at x=
and there is no absolute maximum.
(Use a comma to separate answers as needed)
O D. There is no absolute maximum and no absolute minimum.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5141bbbf-ab4e-4519-abf8-bfe16889e02c%2F87deeb99-55eb-499e-bb35-032d6f3490e5%2F1os1zau_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate the x-value at which each extremum occurs. If no interval is specified,
use the real numbers, (- ∞,00).
f(x) = 0.002x² + 4 2x – 10
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. The absolute maximum is
at x =
and the absolute minimum is
at x =
(Use a comma to separate answers as needed.)
O B. The absolute maximum is
at x =
and there is no absolute minimum,
(Use a comma to separate answers as needed.)
O C. The absolute minimúm is
at x=
and there is no absolute maximum.
(Use a comma to separate answers as needed)
O D. There is no absolute maximum and no absolute minimum.
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