7. The raidus of a circle is equal to 4m and is measured with an error of ±0.5m. Use differentials to find the propagated and relative errors of measuring the area of the circle.

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
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 9P: A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can,...
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7. The raidus of a circle is equal to 4m and is measured with an error of +0.5m. Use
differentials to find the propagated and relative errors of measuring the area of the
circle.
8. The raidus of a sphere is equal to 2m and is measured with an error of +0.1m. Use
differentials to find the propagated and relative errors of measuring the volume of the
sphere.
Transcribed Image Text:7. The raidus of a circle is equal to 4m and is measured with an error of +0.5m. Use differentials to find the propagated and relative errors of measuring the area of the circle. 8. The raidus of a sphere is equal to 2m and is measured with an error of +0.1m. Use differentials to find the propagated and relative errors of measuring the volume of the sphere.
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