# Question

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 cm2 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 ε, δ definition of lim x→ a f(x) = L, what is x? What is f(x)? What is a? What is L? What value of is given? What is the corresponding value of δ?

(a) What radius produces such a disk?

(b) If the machinist is allowed an error tolerance of ± 5 cm2 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 ε, δ definition of lim x→ a f(x) = L, what is x? What is f(x)? What is a? What is L? What value of is given? What is the corresponding value of δ?

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