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Suppose p" must approximate p with relative error at most 10-3 . Find the largest

Chapter 1, Problem 3

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QUESTION:

Suppose p" must approximate p with relative error at most 10-3 . Find the largest interval in which p* must lie for each value of p. a. 150 b. 900 c. 1500 d. 90

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QUESTION:

Suppose p" must approximate p with relative error at most 10-3 . Find the largest interval in which p* must lie for each value of p. a. 150 b. 900 c. 1500 d. 90

ANSWER:

Step 1 of 5

If  is the approximation to p, then

Actual error is

Absolute error is

The relative error is given by

We are given relative error to be  and are asked to find the largest interval of the approximation to the given values of p

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