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Let P(R) be the space of polynomials of degree at most 2 and p(x), q(x) E P2(R) where p(a)-2, q(r) = 1+ Find the cosine of the angle between P and q. Note: Use standard inner product for Po(IR), that is, Let p(x), q(x) € P, (R), then,

Let P(R) be the space of polynomials of degree at most 2 and p(x), q(x) E P2(R) where p(a)-2, q(r) = 1+ Find the cosine of the angle between P and q. Note: Use standard inner product for Po(IR), that is, Let p(x), q(x) € P, (R), then,

Advanced Engineering Mathematics
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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Let Pa(R) be the space of polynomials of degree at most 2 and p(x), q(x) E P(R) where p(r)= 2, q(r) =1+a. Find the cosine of the angle betweenp and q. Note: Use standard inner product for Po(R), that is, Let p(æ), q(a) € P, (R), then, DE F8 F9 F10 F11 F12 7 { 8 [
Transcribed Image Text:Let Pa(R) be the space of polynomials of degree at most 2 and p(x), q(x) E P(R) where p(r)= 2, q(r) =1+a. Find the cosine of the angle betweenp and q. Note: Use standard inner product for Po(R), that is, Let p(æ), q(a) € P, (R), then, DE F8 F9 F10 F11 F12 7 { 8 [
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