E A) If f(X):[2019,2020] →R is continuous and 2020 f = ] f , 2019 XE[2019, 2020]. Show that : f(X)= 0, VXE[2019, 2020]. B) If f (x ) e Rus1 and ceR. We define g(x)on [a+c,b +c] by g(y):=f (y -c).show that ge sebvel and that [f = [ g %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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E A) If f(X):[2019,2020] →R is continuous and
2020
S = [ s
VX E[2019,2020]. Show that :
2019
f(X) = 0, VXE[2019, 2020].
B) If f (x ) e Rj,1
and ceR. We define g(x)on [a+c,b+c] by
g(y):=f (y -c).show that ge Rascbe and that Jf = [ g
Transcribed Image Text:E A) If f(X):[2019,2020] →R is continuous and 2020 S = [ s VX E[2019,2020]. Show that : 2019 f(X) = 0, VXE[2019, 2020]. B) If f (x ) e Rj,1 and ceR. We define g(x)on [a+c,b+c] by g(y):=f (y -c).show that ge Rascbe and that Jf = [ g
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