Suppose ƒ(x) and ƒ'(x) are continuous everywhere, and have the following values: 0 20 -7 20 X ƒ'(x) Based on this, determine what you are willing to guarantee. Between x = 0 and x = Between x = 10 and x 10 7 10 you guarante ✓ Select an answer - 20 you guaran there is a local maximum there is a local minimum nothing Between x 20 and x = = 30 you guarantee scicut an answer Between x = 30 and x = 40 you guarantee Select an answer 30 8 40 6

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
Suppose f(x) and f'(x) are continuous everywhere, and have the following values:
0
20
-7
10
7
Based on this, determine what you are willing to guarantee.
10 you guarante ✓
Select an answer
there is a local maximum
there is a local minimum
X
Between x = 0 and x =
Between x = 10 and x
=
20 you guaran
20
nothing
Between x = 20 and x =
30 you guarantee select an answer
Between x = 30 and x = 40 you guarantee Select an answer
30
8
40
6
Transcribed Image Text:Suppose f(x) and f'(x) are continuous everywhere, and have the following values: 0 20 -7 10 7 Based on this, determine what you are willing to guarantee. 10 you guarante ✓ Select an answer there is a local maximum there is a local minimum X Between x = 0 and x = Between x = 10 and x = 20 you guaran 20 nothing Between x = 20 and x = 30 you guarantee select an answer Between x = 30 and x = 40 you guarantee Select an answer 30 8 40 6
Consider the function in the graph to the right.
The function has a relative maximum of
at x =
The function has a relative minimum of
at x =
The function is increasing on the interval(s):
The function is decreasing on the interval(s):
10-
9
8
7
6
5
4
3
2
+
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
+
-2
-3
-4
-5
-6
-7
-8
-9
-10+
1 2 3 4 5 6 7 8 9 10
12
Transcribed Image Text:Consider the function in the graph to the right. The function has a relative maximum of at x = The function has a relative minimum of at x = The function is increasing on the interval(s): The function is decreasing on the interval(s): 10- 9 8 7 6 5 4 3 2 + -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 + -2 -3 -4 -5 -6 -7 -8 -9 -10+ 1 2 3 4 5 6 7 8 9 10 12
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