Exercise 1: Show that the functions are orthogonal the indicated interval. a) f(x) = x, g(x)=x², x = [-2.2] c) f(x) = x, g(x) = cos 2x, z = [-/2, π/2] b) f(x)=e¹, g(x)=xe-e-², x = [0,2]
Exercise 1: Show that the functions are orthogonal the indicated interval. a) f(x) = x, g(x)=x², x = [-2.2] c) f(x) = x, g(x) = cos 2x, z = [-/2, π/2] b) f(x)=e¹, g(x)=xe-e-², x = [0,2]
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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![Exercise 1: Show that the functions are orthogonal the indicated interval.
a) f(x) = x, g(x)=x², x = [-2.2]
c) f(x) = r, g(x) = cos 2r, x[-/2, π/2]
b) f(x)=e¹, g(x) = re-e, r€ [0,2]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F913f25bd-b2eb-4e87-8f80-5ec552fc3aee%2F9196eab9-53eb-4d01-b2db-4740a97008dd%2Foualr4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise 1: Show that the functions are orthogonal the indicated interval.
a) f(x) = x, g(x)=x², x = [-2.2]
c) f(x) = r, g(x) = cos 2r, x[-/2, π/2]
b) f(x)=e¹, g(x) = re-e, r€ [0,2]
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