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Which of the following subsets of P, are subspaces of P2? OA. {p(t) | p(0) = 0} OB. {p(t) | p'(t) + 9p(t) + 7 = 0} OC. {p(t) | p'(t) is constant } OD. {p(t) | p(4) =2} OE. {p(t) | P(-t) = p(t) for all t} OE {p(t) | So p(t)dt = 0}

Which of the following subsets of P, are subspaces of P2? OA. {p(t) | p(0) = 0} OB. {p(t) | p'(t) + 9p(t) + 7 = 0} OC. {p(t) | p'(t) is constant } OD. {p(t) | p(4) =2} OE. {p(t) | P(-t) = p(t) for all t} OE {p(t) | So p(t)dt = 0}

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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7. Which of the following subsets of P2 are subspaces of P2? OA. {p(t) | p(0) =0} OB. {p(t) | P(t) + 9p(t) +7= 0} OC. {p(t)| p'(t) is constant } OD. {p(t) | p(4) =2} OE. {p(t) | p(-t) = p(t) for all t} OE {p(t) | So p(t)dt = 0}
Transcribed Image Text:7. Which of the following subsets of P2 are subspaces of P2? OA. {p(t) | p(0) =0} OB. {p(t) | P(t) + 9p(t) +7= 0} OC. {p(t)| p'(t) is constant } OD. {p(t) | p(4) =2} OE. {p(t) | p(-t) = p(t) for all t} OE {p(t) | So p(t)dt = 0}
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