A machinist is required to manufacture a circular metal disk with area 938 cm2. Give your answers in exact form. Do not write them as decimal approximations. a) What radius, x, produces such a disk? b) If the machinist is allowed an error tolerance of ±5 cm^2 in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius? c) Using the ε/δ definition of a limit, determine each of the following values in this context: f(x)= a= L= ε= δ=
A machinist is required to manufacture a circular metal disk with area 938 cm2. Give your answers in exact form. Do not write them as decimal approximations. a) What radius, x, produces such a disk? b) If the machinist is allowed an error tolerance of ±5 cm^2 in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius? c) Using the ε/δ definition of a limit, determine each of the following values in this context: f(x)= a= L= ε= δ=
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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A machinist is required to manufacture a circular metal disk with area 938 cm2. Give your answers in exact form. Do not write them as decimal approximations.
a) What radius, x, produces such a disk?
b) If the machinist is allowed an error tolerance of ±5 cm^2 in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius?
c) Using the ε/δ definition of a limit, determine each of the following values in this context:
f(x)=
a=
L=
ε=
δ=
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