Answered: (a) Use differentials to approximate…

(a) Use differentials to approximate the possible propagated error in computing the area of the circle. (b) Approximate the percent error in computing the area of the circle.

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 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...

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26. Area The measurement of the radius of a circle is
16 inches, with a possible error of inch.
(a) Use differentials to approximate the possible propagated
error in computing the area of the circle.
(b) Approximate the percent error in computing the area of the
circle.

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