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Determine whether the given set S is a subspace of thevector space V.
Determine whether the given set S is a subspace of the vector space V. A. V is the vector space of all real-valued functions defined on the interval [a,b], and S is the subset of V consisting of those functions satisfying fˉ​(a)=4 B. V=C5(I), and S is the subset of V consisting of those functions satisfying the differential equation y(5)=0. C. V=P3​, and S is the subset of P3​ consisting of all polynomials of the form p(x)=ax3+bx. D. V is the vector space of all real-valued functions defined on the interval [a,b], and S is the subset of V consisting of those functions satisfying fˉ​(a)=f(b) E. V=R2, and S is the set of all vectors (x1​,x2​) in V satisfying 4x1​+5x2​=0. F. V=R4, and S is the set of vectors of the form (0,x2​,4,x4​). G. V=C3(I), and S is the subset of V consisting of those functions satisfying the differential equation y′′′−y′=1.