The radius of a sphere was measured and found to be 14 inches with a maximum error in measurement of 0.01 in. (a) Use differentials to estimate the maximum error in using this value of the radius to compute the volume of the sphere. (b) What is the relative error? (c) What is the percentage error?
The radius of a sphere was measured and found to be 14 inches with a maximum error in measurement of 0.01 in. (a) Use differentials to estimate the maximum error in using this value of the radius to compute the volume of the sphere. (b) What is the relative error? (c) What is the percentage 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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Transcribed Image Text:The radius of a sphere was measured and found to be 14 inches with a maximum error in
measurement of 0.01 in.
(a) Use differentials to estimate the maximum error in using this value of the radius to compute
the volume of the sphere.
(b) What is the relative error?
(c) What is the percentage error?
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