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
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Chapter2: Second-order Linear Odes
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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];
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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