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Calculo Larson 6 Edicion SOLUCIONARIO vantmar

## Calculo Larson 6 edicion SOLUCIONARIO

A: The error message tells you that when you use a function with limited precision, you must evaluate the function at least as many times as the number of required digits of precision. Since you only need 6.4 digits of precision, you have to evaluate your function at least 100 times. But you can also do better. Let the "error" be the difference between your result and the correct answer, and let the "accuracy" be the maximum possible error: the difference between the correct answer and your result, divided by 100. That gives the percentage error. f(x) = x^2 - 4x + 12 Now the maximum possible error is the square of the maximum absolute error, divided by 100: (4x - 12)^2 / 100 That squared is 16. The maximum absolute error is 1/100 of that: (4x - 12)/100 So the maximum error is 1/100 of the square of 4x - 12. You can compute this directly, or use the following trick: 16 = (4x - 12)^2 (4x - 12)^2 = 4*(4x-12) + 12 16 = 4*(4x - 12) + 12 4*(4x - 12) + 12 = (4x - 12)^2 So

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