Question: Are the following sets vector spaces? Explain why or why not a) The set of continuous functions f from R to R for which

Are the following sets vector spaces? Explain why or why not a) The set of continuous functions f from R to R for which fof(t)dt = 0 b) Fix a positive integer n. Consider the set, Pn(R) of all polynomials of degree n with coefficients from Rin the Independent z.Algebraically, P (R)=(ao+az + az+.... +aza ER,0 in).

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