f*g = \int _0^1 f(x)g(x)dx By computing the above dot product for each of the six possible pairs^1, determine which of the following functions are orthogonal to each other: a(x) := 1 for 0  ≤ x ≤ 1 b(x) := x for 0 ≤ x ≤ 1 c(x) := x −(1/2) for 0 ≤ x ≤ 1 d(x) := 6x^2 − 6x + 1 for 0 ≤ x ≤ 1

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