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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.

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.

Calculus: Early Transcendentals
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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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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