# Question: A machinist is required to manufacture a circular metal

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?

## Answer to relevant Questions

A crystal growth furnace is used in research to determine how best to manufacture crystals used in electronic components for the space shuttle. For proper growth of the crystal, the temperature must be controlled accurately ...(a) For the limit lim x→1(x3 + x + 1) = 3, use a graph to find a value of that corresponds to ε = 0.4. (b) By using a computer algebra system to solve the cubic equation x3 + x + 1 = 3 + ε, find the largest ...Prove, using Definition 6, that lim x →-3 1/(x + 3)4 =∞.Sketch the graph of a function that has a jump discontinuity at x = 2 and a removable discontinuity at x = 4, but is continuous elsewhere.Use continuity to evaluate the limit.Post your question