Use the given function and the given interval to complete parts a and b. f(x)=2x³-36x² + 192x on [3,9] a. Determine the absolute extreme values of f on the given interval when they exist. b. Use a graphing utility to confirm your conclusions. EEEE a. What is/are the absolute maximum/maxima of f on the given interval? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The absolute maximum/maxima is/are at x = (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.) OB. There is no absolute maximum of f on the given interval. What is/are the absolute minimum/minima off on the given interval? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The absolute minimum/minima is/are at x = (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.) OB. There is no absolute minimum of f on the given interval. b. Choose the correct answer below.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.2: Relative Extrema
Problem 54E: OTHER APPLICATION Attitude Change Social psychologist have found that as the discrepancy between the...
icon
Related questions
Question
Use the given function and the given interval to complete parts a and b.
f(x)=2x³-36x² +192x on [3,9]
a. Determine the absolute extreme values of f on the given interval when they exist.
b. Use a graphing utility to confirm your conclusions.
a. What is/are the absolute maximum/maxima of f on the given interval? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The absolute maximum/maxima is/are at x =
(Use a comma to separate answers as needed. Type exact answers, using radicals as needed.)
OB. There is no absolute maximum of f on the given interval.
What is/are the absolute minimum/minima of f on the given interval? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The absolute minimum/minima is/are at x =
(Use a comma to separate answers as needed. Type exact answers, using radicals as needed.)
OB. There is no absolute minimum of f on the given interval.
b. Choose the correct answer below.
OA.
320
Ау
240-
3
Q
OB.
Ay
1700-
500+
3
C...
Q
O C.
Ay
-500-
-1700-
OU
OD.
Ay
-240-
-320-
G
Transcribed Image Text:Use the given function and the given interval to complete parts a and b. f(x)=2x³-36x² +192x on [3,9] a. Determine the absolute extreme values of f on the given interval when they exist. b. Use a graphing utility to confirm your conclusions. a. What is/are the absolute maximum/maxima of f on the given interval? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The absolute maximum/maxima is/are at x = (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.) OB. There is no absolute maximum of f on the given interval. What is/are the absolute minimum/minima of f on the given interval? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The absolute minimum/minima is/are at x = (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.) OB. There is no absolute minimum of f on the given interval. b. Choose the correct answer below. OA. 320 Ау 240- 3 Q OB. Ay 1700- 500+ 3 C... Q O C. Ay -500- -1700- OU OD. Ay -240- -320- G
Expert Solution
steps

Step by step

Solved in 5 steps with 7 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt