The radius of a circular manhole cover is estimated to be 16 in. with a maximum error in measurement of 0.06 in. Use differentials to estimate the maximum error in the calculated area of one side of the cover. What is the approximate average error and the approximate percen- tage error?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The radius of a circular manhole cover is estimated to
be 16 in. with a maximum error in measurement of
0.06 in. Use differentials to estimate the maximum error
in the calculated area of one side of the cover. What is the
approximate average error and the approximate percen-
tage error?
The length of a side of a square floor tile is estimated as
Ift with a maximum error in measurement of in. Use
differentials to estimate the maximum error in the calcu-
lated area. What is the approximate average error and the
approximate percentage error?
Transcribed Image Text:The radius of a circular manhole cover is estimated to be 16 in. with a maximum error in measurement of 0.06 in. Use differentials to estimate the maximum error in the calculated area of one side of the cover. What is the approximate average error and the approximate percen- tage error? The length of a side of a square floor tile is estimated as Ift with a maximum error in measurement of in. Use differentials to estimate the maximum error in the calcu- lated area. What is the approximate average error and the approximate percentage error?
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