A function f is continuous on the interval (-3,3] and its first and second derivatives have the values given in the following table: (1,3) (0,1) 0 Negative Negative Negative0 Negative Positive0 Negative (-1,0) (-3,-1) S'(=) Positive, S"(=) Negative Negative Negative -1 a. What are the a-coordinates of all of the relative maxima and minima of f on -3,3]? Justify your answer. b. What are the -coordinates of all points of inflections of f on the ihterval (-3,3]? Justify your answer.
A function f is continuous on the interval (-3,3] and its first and second derivatives have the values given in the following table: (1,3) (0,1) 0 Negative Negative Negative0 Negative Positive0 Negative (-1,0) (-3,-1) S'(=) Positive, S"(=) Negative Negative Negative -1 a. What are the a-coordinates of all of the relative maxima and minima of f on -3,3]? Justify your answer. b. What are the -coordinates of all points of inflections of f on the ihterval (-3,3]? Justify your answer.
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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Please solve exact and accurate please it's important thanks!! I'll rate it up for accurate work. Thanks(it's not graded at all).
![In #7, don't forget to consider the endpoints of the closed interval as possible mins/maxes.
Question-7.
A function f is continuous on the interval (-3, 3] and its first and second derivatives
have the values given in the following table:
(0,1)
(1,3)
(-3,-1)
r-) Positive
" Negative Negative Negative
-1
(-1,0)
0NegativeNegative Negative 0Negative
Positive0 Negative
a. What are the a-coordinates of all of the relative maxima and minima of f on -3,3]?
Justify your answer.
b. What are the z-coordinates of all points of inflections of f on the ihterval (-3,3]?
Justify your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44a196e1-6cc4-43fa-8d1f-45f2e97d09b5%2Fcc2ba339-d886-4c56-a83d-81c75ddcf6c5%2Friu8qbq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In #7, don't forget to consider the endpoints of the closed interval as possible mins/maxes.
Question-7.
A function f is continuous on the interval (-3, 3] and its first and second derivatives
have the values given in the following table:
(0,1)
(1,3)
(-3,-1)
r-) Positive
" Negative Negative Negative
-1
(-1,0)
0NegativeNegative Negative 0Negative
Positive0 Negative
a. What are the a-coordinates of all of the relative maxima and minima of f on -3,3]?
Justify your answer.
b. What are the z-coordinates of all points of inflections of f on the ihterval (-3,3]?
Justify your answer.
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