Suppose the side length of a cube is measured to be 5cm with an accuracy of 0.1cm. a) use differentials to estimate the error in the computed volume of the cube b) compute the volume of the cube if the side length is: (i)4.9cm and (ii)5.1cm to compare the estimated error with the actual potential error

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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Suppose the side length of a cube is measured to be 5cm with an accuracy of 0.1cm.

a) use differentials to estimate the error in the computed volume of the cube

b) compute the volume of the cube if the side length is: (i)4.9cm and (ii)5.1cm to compare the estimated error with the actual potential error

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