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1. Derive the relative error for f(f(x + y) + z) and f(x + f(y+z)), using the (1 + ) notation. 2. For each case

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1. Derive the relative error for f(f(x + y) + z) and f(x + f(y+z)), using the (1 + ) notation. 2. For each case (i.e., a, b, and c) analyze the relative errors from the previous problem. For each case state which addition order is more accurate (i.e., has less relative error). a) 0 0, y 0; c) x 0,2 0, y 0; c) x 0,2

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