A machinist is required to manufacture a circular metal disk with area 1000 cm2. (a) What radius produces such a disk? (Round your answer to four decimal places.)    ?? cm(b) If the machinist is allowed an error tolerance of ±7 cm2 in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius? (Round your answers to four decimal places.) ?? cm < r < ?? cm (c) In terms of the ε, δ definition of lim x→a f(x) = L, what is x?   area target radius     radius target area tolerance in the area What is f(x)? 5 area target radius     radius target area tolerance in the area What is a?   area target radius     radius target area tolerance in the area What is L?   area target radius     radius target area tolerance in the area What value of ε is given??? cm2What is the corresponding value of δ? (Round your answer to four decimal places.)?? cm

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter16: Table Of Decimal Equivalents And Combined Operations Of Decimal Fractions
Section: Chapter Questions
Problem 32A
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A machinist is required to manufacture a circular metal disk with area 1000 cm2.

(a) What radius produces such a disk? (Round your answer to four decimal places.)
    ?? cm

(b) If the machinist is allowed an error tolerance of ±7 cm2 in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius? (Round your answers to four decimal places.)
?? cm < r < ?? cm

(c) In terms of the ε, δ definition of
lim x→a f(x) = L,
what is x?
 
area
target radius    
radius
target area
tolerance in the area

What is f(x)?
5
area
target radius    
radius
target area
tolerance in the area

What is a?
 
area
target radius   
 radius
target area
tolerance in the area

What is L?
 
area
target radius    
radius
target area
tolerance in the area

What value of ε is given?
?? cm2

What is the corresponding value of δ? (Round your answer to four decimal places.)
?? cm
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