y=12x³-x4 = x³ (12-x)

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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Identify the coordinates of any local and absolute extreme points and inflection points. Graph the function.
y=12x³-x4 = x³ (12-x)
Identify the coordinates of the local maximum points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The local maximum point(s) is/are
(Use a comma to separate answers as needed. Type an ordered pair. Do not use commas in the individual coordinates.)
OB. There are no local maximum points.
Identify the coordinates of the local minimum points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice
OA. The local minimum points(s) is/are
(Use a comma to separate answers as needed. Type an ordered pair. Do not use commas in the individual coordinates.)
OB. There are no local minimum points.
Identify the coordinates of the absolute maximum points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The absolute maximum point(s) is/are
(Use a comma to separate answers as needed. Type an ordered pair. Do not use commas in the individual coordinates.)
There are no absolute maximum points.
OB.
box to complete your choice.
Transcribed Image Text:Identify the coordinates of any local and absolute extreme points and inflection points. Graph the function. y=12x³-x4 = x³ (12-x) Identify the coordinates of the local maximum points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The local maximum point(s) is/are (Use a comma to separate answers as needed. Type an ordered pair. Do not use commas in the individual coordinates.) OB. There are no local maximum points. Identify the coordinates of the local minimum points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice OA. The local minimum points(s) is/are (Use a comma to separate answers as needed. Type an ordered pair. Do not use commas in the individual coordinates.) OB. There are no local minimum points. Identify the coordinates of the absolute maximum points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The absolute maximum point(s) is/are (Use a comma to separate answers as needed. Type an ordered pair. Do not use commas in the individual coordinates.) There are no absolute maximum points. OB. box to complete your choice.
Identify the coordinates of the absolute minimum points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The absolute minimum point(s) is/are
(Use a comma to separate answers as needed. Type an ordered pair. Do not use commas in the individual coordinates.)
OB. There are no absolute minimum points.
Identify the coordinates of any inflection points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The inflection point(s) is/are
(Use a comma to separate answers as needed. Type an ordered pair. Do not use commas in the individual coordinates.)
OB. There are no inflection points.
Graph the function. Choose the correct answer below.
OA.
500 y
2500
18
Q
OB.
500 y
Q
Q
OD.
500 y
2500 y
J 1
N
-2500
-500
O C.
Q
Transcribed Image Text:Identify the coordinates of the absolute minimum points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The absolute minimum point(s) is/are (Use a comma to separate answers as needed. Type an ordered pair. Do not use commas in the individual coordinates.) OB. There are no absolute minimum points. Identify the coordinates of any inflection points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The inflection point(s) is/are (Use a comma to separate answers as needed. Type an ordered pair. Do not use commas in the individual coordinates.) OB. There are no inflection points. Graph the function. Choose the correct answer below. OA. 500 y 2500 18 Q OB. 500 y Q Q OD. 500 y 2500 y J 1 N -2500 -500 O C. Q
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