3. Show that the harmonic average defined as e For the case of 1 1 = ; S². a av P a ao 1 -dp- a 0 P 0 n ¤av = (1 − n)αo (P/p.)" - Hint: Take the integration limits to be P1 and P2 first. Set the lower limit to 0.<

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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Question
3. Show that the harmonic average defined as
e
For the case of
1 1
=
; S².
a av P
a
ao
1
-dp+
a
0
P
0
n
¤av = (1 − n)αo (P/po)" <
Hint: Take the integration limits to be P1 and P2 first. Set the lower limit to 0.<
Transcribed Image Text:3. Show that the harmonic average defined as e For the case of 1 1 = ; S². a av P a ao 1 -dp+ a 0 P 0 n ¤av = (1 − n)αo (P/po)" < Hint: Take the integration limits to be P1 and P2 first. Set the lower limit to 0.<
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