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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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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].
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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