One problem with approximations is deciding how accurate the approximation is. Suppose you want to approximate √17 to three decimal places. Explain why you know 4.123 approximates √17 to three decimal places. Your answer CANNOT refer to the actual value of √17. Suggestion: If 4.123 is accurate to three decimal places, this means 4.1225 < √17 < 4.1235. How do you know this inequality is true?
One problem with approximations is deciding how accurate the approximation is. Suppose you want to approximate √17 to three decimal places. Explain why you know 4.123 approximates √17 to three decimal places. Your answer CANNOT refer to the actual value of √17. Suggestion: If 4.123 is accurate to three decimal places, this means 4.1225 < √17 < 4.1235. How do you know this inequality is true?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:One problem with approximations is deciding how accurate the approximation is. Suppose you want to
approximate √17 to three decimal places.
Explain why you know 4.123 approximates √17 to three decimal places. Your answer CANNOT refer to the
actual value of √17.
Suggestion: If 4.123 is accurate to three decimal places, this means 4.1225 < √17 < 4.1235. How do
you know this inequality is true?
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