Determine which of the following sets of functions are subspaces of F[a, b],a) All functio...

Determine which of the following sets of functions are subspaces of F[a, b],

a) All functions f in F[a, b] for which f(a) = 0

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b) All functions f in F[a. b] for which f(a) = 1

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c) All functions f in C[a,b] for which

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d) All functions f in D[a, b] for which f`′(x) = f(x)

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e) All functions f in D[a, b] for which f'(x) = ex