(10) Let the vector space P, has the inner product (p(x), q(x)) = | P(x)q(x)dx (a) Compute ||p(x)|| where p(x) = sin r (b) Find the angle between p(æ) = sin(rx) and q(x) = cos(7x).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(10) Let the vector space P, has the inner product
(p(ar), q(x)) = | p(2)q(x)dr
(a) Compute ||p(x)|| where p(x) = sin r
(b) Find the angle between p(x) = sin(Tx) and q(x) = cos(Tx).
%3D
Transcribed Image Text:(10) Let the vector space P, has the inner product (p(ar), q(x)) = | p(2)q(x)dr (a) Compute ||p(x)|| where p(x) = sin r (b) Find the angle between p(x) = sin(Tx) and q(x) = cos(Tx). %3D
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