Errors in approximations Suppose f(x) = Vr is to be ap- proximated near x = 8. Find the linear approximation to f at 8. Then complete the following table, showing the errors in various approximations. Use a calculator to obtain the exact values. The percent error is 100|approximation – exact|/|exact|. Comment on the behavior of the errors as x approaches 8. Linear approx. Exact value Percent error 8.1 8.01 8.001 8.0001 7.9999 7.999 7.99 7.9
Errors in approximations Suppose f(x) = Vr is to be ap- proximated near x = 8. Find the linear approximation to f at 8. Then complete the following table, showing the errors in various approximations. Use a calculator to obtain the exact values. The percent error is 100|approximation – exact|/|exact|. Comment on the behavior of the errors as x approaches 8. Linear approx. Exact value Percent error 8.1 8.01 8.001 8.0001 7.9999 7.999 7.99 7.9
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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