The radius of a circular disk is given as 21 cm with a maximal error in measurement of 0.2 cm. Use differentials to estimate the following. (a) The maximum error in the calculated area of the disk. (b) The relative maximum error. (c) The percentage error in that case.

The radius of a circular disk is given as 21 cm with a maximal error in measurement of 0.2 cm. Use differentials to estimate the following. (a) The maximum error in the calculated area of the disk. (b) The relative maximum error. (c) The percentage error in that case.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 14E: A cylindrical orange juice container has metal bases of radius length 1 in. and a cardboard lateral...

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Question

Please solve and show all work.

The radius of a circular disk is given as 21 cm with a maximal error in measurement of 0.2 cm. Use
differentials to estimate the following.
(a) The maximum error in the calculated area of the disk.
(b) The relative maximum error.
(c) The percentage error in that case.
(a)
(b)
(C)

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