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.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...
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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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