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4) Suppose the relative errors in x and y are 1% and you'd like to compute x a y b , where a and b
4) Suppose the relative errors in x and y are 1% and you'd like to compute xayb, where a and b are some positive powers of x and y. What is the largest possible value for a + b where the approximate relative error in xayb is at most 5%? This shows there can be serious limitations on what you can accurately compute if your goal is to control error.
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