The radius of a sphere is measured as 6 centimeters, with a possible error of 0.025 centimeter. (a) Use differentials to approximate the possible propagated error, in cm³, in computing the volume of cm ³ 3 error + (b) Use differentials to approximate the possible propagated error, in cm2, in computing the surface ar error + cm volume surface area 2 (c) Approximate the percent errors in parts (a) and (b). (Round your answers to two decimal places.) % %
The radius of a sphere is measured as 6 centimeters, with a possible error of 0.025 centimeter. (a) Use differentials to approximate the possible propagated error, in cm³, in computing the volume of cm ³ 3 error + (b) Use differentials to approximate the possible propagated error, in cm2, in computing the surface ar error + cm volume surface area 2 (c) Approximate the percent errors in parts (a) and (b). (Round your answers to two decimal places.) % %
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 is measured as 6 centimeters, with a possible error of 0.025 centimeter.
(a)
Use differentials to approximate the possible propagated error, in cm³, in computing the volume of
error +
(b) Use differentials to approximate the possible propagated error, in cm², in computing the surface are
cm²
2
error t
cm ³
3
(c) Approximate the percent errors in parts (a) and (b). (Round your answers to two decimal places.)
%
volume
surface area
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