How would
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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How would I use the formula and result I found to fill in the blanks and argue that F’(x) = f(x)
![lim
*イ
F Cx) =
In Section 5.4, we will see that the average value of a function on the
1
interval from [a, b] is
f (x) dx. Use that formula and the result of part (a)
a
to fill in the blanks:
F'(x) = lim [the average of
over the interval
h→0
Argue from the result of part (b) that F'(x) = f (x).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F051d9a8d-fe28-4947-87a7-657149e37dc8%2Faa301f8c-e011-43ba-b882-3914c9f36b7f%2Ft5z6tp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:lim
*イ
F Cx) =
In Section 5.4, we will see that the average value of a function on the
1
interval from [a, b] is
f (x) dx. Use that formula and the result of part (a)
a
to fill in the blanks:
F'(x) = lim [the average of
over the interval
h→0
Argue from the result of part (b) that F'(x) = f (x).
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