Suppose f ond 9 are continuous functions on [0. b] ond thand gee)>0 for all x E [0,b]. Prove that there exists xin La, b such that X in J fe) gl6) de = f a) Sgct) de gle) %3D
Suppose f ond 9 are continuous functions on [0. b] ond thand gee)>0 for all x E [0,b]. Prove that there exists xin La, b such that X in J fe) gl6) de = f a) Sgct) de gle) %3D
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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![) fie) gre) de
Suppose f and 9 ore continuous functions on
[o. b] and thand g«) >0 for all x E [a,b]. Prove
that there exists
gra)>0 for
xin [a, b] such
S fe) ge) de : f a) Sg(4) de
that
CS CamScanner ile tarandı](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdfac9274-5ef3-48fe-8c51-d05e1d96e07b%2F803ea536-bac9-4e0b-a06e-b07c5b9e87b1%2Frhr8xfo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:) fie) gre) de
Suppose f and 9 ore continuous functions on
[o. b] and thand g«) >0 for all x E [a,b]. Prove
that there exists
gra)>0 for
xin [a, b] such
S fe) ge) de : f a) Sg(4) de
that
CS CamScanner ile tarandı
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