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You may recall that the definition of an inner product of two functions, f(x) and g(x) on the domain x = [0, 1) is (f,g)

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You may recall that the definition of an inner product of two functions, f(x) and g(x) on the domain x = [0, 1) is (f,g) = / f(x)g(2) di. a(x) b ( x ) c(x) d(x) f(x) O 0 0 0.5 0 0.5 0 0.5 0 0.5 0 0.5 X Using the figure above, visually estimate the inner products, and justify your answer with 1-2 sentences. The norm of each function on the domain x = [0, 1] is 1, except for the function f(x), which has a norm of 2. The axis limits on the plots are all the same. (a) (a, b) ( b ) ( b , c ) (c) ( a, d) (d) (a, f)

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