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Calculus and Beyond Homework Help
Is S a Subspace of P_3 and Does q(x) Belong in S?
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[QUOTE="Mark44, post: 4700694, member: 147785"] What allows you to say that (af+bg)(1) = 0 and that (af+bg)'(1) = 0? You haven't used the fact that S is a subset of P[SUB]3[/SUB]. You also haven't shown that the zero function belongs to S. The set description tells you which functions belong to S. Namely, they are of degree less than or equal to 3, p(1) = 0, and p'(1) = 0. Does q satisfy all three of these conditions? If so, it's in S. [/QUOTE]
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Is S a Subspace of P_3 and Does q(x) Belong in S?
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