Q 2.8 Consider the functions f₁(x) = x and f₂(x)=3-5cx on the interval of [0,1]. so that a) Find the value of the constant c f₁ and £₂ are orthogonal on [0, 1]. Your answer should be symbolic and should not have any decimals. b) Using the value of the constant c from part(a), find the norm of f2₂ on the interval [0, 1].
Q 2.8 Consider the functions f₁(x) = x and f₂(x)=3-5cx on the interval of [0,1]. so that a) Find the value of the constant c f₁ and £₂ are orthogonal on [0, 1]. Your answer should be symbolic and should not have any decimals. b) Using the value of the constant c from part(a), find the norm of f2₂ on the interval [0, 1].
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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![Q 2.8
Consider the functions f₁(x)=x and f₂(x)=3-5cx
on the interval of [0,1].
so that
a) Find the value of the constant c
f, and £₂ are orthogonal on [0, 1].
Your answer should be symbolic and should not have
any decimals
) Using the value of the constant c from
part(a), find the norm of f₂ on the interval
'[0, 1];](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8da3e87f-6cbb-4970-9b8f-0c3e9e8f3b74%2Fd6710ad0-514d-49aa-bb53-5a7cc56f8f7a%2Fjmcp2ep_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q 2.8
Consider the functions f₁(x)=x and f₂(x)=3-5cx
on the interval of [0,1].
so that
a) Find the value of the constant c
f, and £₂ are orthogonal on [0, 1].
Your answer should be symbolic and should not have
any decimals
) Using the value of the constant c from
part(a), find the norm of f₂ on the interval
'[0, 1];
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