f. At what value(s) of x does f'(x) = 0? %3D g. Give one value of x where f (x) appears to have an inflection point. h. If the function g(t) is defined as: g(t) = f(x)dx %3D -5 put the following in order from smallest to largest: g(2) g(-3) g(-5)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Im reposting this questions. Can you help with the sub-parts h,g and f?
Use the graph of the function f(x) below to answer the questions that follow. Estimate values as
necessary
7-
6
-4
2-
-1-
14 -13 -12-11 -10 -9 -8 -7 -6
5 4
-3-2
3
6
10 11 12 13 14
7
9
-2-
-3
-4
-5-
-6
--7
-8
--9-
a. What is the sign of f'(-1)? Why?
b. What is the sign of f"(6)? Why?
c. For what value(s) of x does f' (x) not exist?
d. What is the lim f(x)?
x-6
e. What is the lim f(x)?
x-6*
f. At what value(s) of x does f'(x) = 0?
g. Give one value of x where f(x) appears to have an inflection point.
h. If the function g(t) is defined as:
g(t) =
f(x)dx
-5
put the following in order from smallest to largest:
g(2)
g(-3)
g(-5)
Transcribed Image Text:Use the graph of the function f(x) below to answer the questions that follow. Estimate values as necessary 7- 6 -4 2- -1- 14 -13 -12-11 -10 -9 -8 -7 -6 5 4 -3-2 3 6 10 11 12 13 14 7 9 -2- -3 -4 -5- -6 --7 -8 --9- a. What is the sign of f'(-1)? Why? b. What is the sign of f"(6)? Why? c. For what value(s) of x does f' (x) not exist? d. What is the lim f(x)? x-6 e. What is the lim f(x)? x-6* f. At what value(s) of x does f'(x) = 0? g. Give one value of x where f(x) appears to have an inflection point. h. If the function g(t) is defined as: g(t) = f(x)dx -5 put the following in order from smallest to largest: g(2) g(-3) g(-5)
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