The circumference of a sphere was measured to be 83 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area. Estimate the relative error in the calculated surface area.

The circumference of a sphere was measured to be 83 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area. Estimate the relative error in the calculated surface area.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter12: Quadratic Functions

Section12.8: Joint And Combined Variation

Problem 3E

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Question

The circumstances of a sphere was measured to be 83 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area? Estimate the relative error in the calculated surface area?

The circumference of a sphere was measured to be 83 cm with a possible error of 0.5 cm. Use linear
approximation to estimate the maximum error in the calculated surface area.
Estimate the relative error in the calculated surface area.

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