(a) Show that {1, x, x2, x3} is linearly independent on every interval. (b) If fk (x) =
Chapter 4, Problem 43(choose chapter or problem)
(a) Show that {1, x, x2, x3} is linearly independent on every interval. (b) If fk (x) = xk for k = 0, 1,..., n, show that { f0, f1,..., fn} is linearly independent on every interval for all fixed n.
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