Question: Define TE L(P) by (Tp)(x) = xp'(x) + xp(x). Consider the dual map T' E L(P') and describe the linear functional T'() for (a)

Define TE L(P) by (Tp)(x) = xp'(x) + xp"(x). Consider the dual map T' E L(P') and describe the linear functional T'() for (a) (p) = p(4) (b) y(p) = p'(3)

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