Question: 2.25 Let V be the linear space of real-valued continuous functions defined on the interval t E [ -1, 1] , with inner product (f,g)=

2.25 Let V be the linear space of real-valued continuous functions defined on the interval t E [ -1, 1] , with inner product

(f,g)= tt(x)g(x) dx Let W be a subspace consisting of polynomials p of degree less than or equal to four that satisfy p(1) = p( -1) = 0. Find the projection of the polynomial p(t) = 1 in the subspace W.

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