·b 10. (a) Suppose f≥ 0 is continuous on [a, b] and f = 0. Prove that f = 0. a R is continuous and To fg = 0 for all continuous functions g. Prove that (b) Suppose f: [a, b] - f = 0. (c) Suppose f [a, b] → R is continuous and L fg = 0 for all continuous functions g with the property that g(a) = g(b) = = 0. Prove that f = 0. =

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