11. A machinist is required to manufacture a circular metal disk with area 1000 cm2. (a) What radius produces such a disk? (b) If the machinist is allowed an error tolerance of ±5 cm in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius? (c) In terms of the ɛ, & definition of lim, a f(x) = L, what is x? What is f(x)? What is a? What is L? What value of ɛ is given? What is the corresponding value of 8? %3|

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11. A machinist is required to manufacture a circular metal disk
with area 1000 cm2.
(a) What radius produces such a disk?
(b) If the machinist is allowed an error tolerance of +5 cm?
in the area of the disk, how close to the ideal radius in
part (a) must the machinist control the radius?
(c) In terms of the ɛ, & definition of lim,a f(x) = L, what
is x? What is f(x)? What is a? What is L? What value of ɛ
is given? What is the corresponding value of S?
%3D
Transcribed Image Text:11. A machinist is required to manufacture a circular metal disk with area 1000 cm2. (a) What radius produces such a disk? (b) If the machinist is allowed an error tolerance of +5 cm? in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius? (c) In terms of the ɛ, & definition of lim,a f(x) = L, what is x? What is f(x)? What is a? What is L? What value of ɛ is given? What is the corresponding value of S? %3D
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