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Which of the following subsets of P2 are subspaces of P2? | A. {p(t) | p′(8) = p(1)} □B. {p(t) | p(-t) = -p(t) for all t} □C. {p(t) | p'(t) is constant} D. {p(t) | p(5) = 7} □ɛ. {p(t) | S₁¹ p(t)dt = 0} E. F. {p(t) | p'(t) + 4p(t) + 1 = 0}

Which of the following subsets of P2 are subspaces of P2? | A. {p(t) | p′(8) = p(1)} □B. {p(t) | p(-t) = -p(t) for all t} □C. {p(t) | p'(t) is constant} D. {p(t) | p(5) = 7} □ɛ. {p(t) | S₁¹ p(t)dt = 0} E. F. {p(t) | p'(t) + 4p(t) + 1 = 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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Which of the following subsets of P2 are subspaces of P2? \A. {p(t) \ p′(8) = p(1)} □B. {p(t) | p(-t) = -p(t) for all t} □C. {p(t) | p'(t) is constant} D. {p(t) | p(5) = 7} □ɛ. {p(t) | S₁¹ p(t)dt = 0} E. F. {p(t) | p'(t) + 4p(t) + 1 = 0}
Transcribed Image Text:Which of the following subsets of P2 are subspaces of P2? \A. {p(t) \ p′(8) = p(1)} □B. {p(t) | p(-t) = -p(t) for all t} □C. {p(t) | p'(t) is constant} D. {p(t) | p(5) = 7} □ɛ. {p(t) | S₁¹ p(t)dt = 0} E. F. {p(t) | p'(t) + 4p(t) + 1 = 0}
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