Consider the functions f₁(x) = x on the interval of [0,1]. and f₂(x)=3-5cx a) Find the value of the constant c so that 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 fo on the interval 59,17.
Consider the functions f₁(x) = x on the interval of [0,1]. and f₂(x)=3-5cx a) Find the value of the constant c so that 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 fo on the interval 59,17.
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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Question
![Q88
Consider the functions f₁(x) = x
on the interval of [0,1].
and f₂(x)=3-5cx
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 fram
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%2F3832e4f8-390e-4c9b-b1ad-23fa936babbb%2Ff9f02eab-e7ee-486b-810c-ef979d111e90%2Fo23fdtn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q88
Consider the functions f₁(x) = x
on the interval of [0,1].
and f₂(x)=3-5cx
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 fram
part(a), find the norm of f₂ on the interval
[0,1].
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