A machinist is required to manufacture a circular metal disk with area 2200 cm^2. (b) If the machinist is allowed an error tolerance of ±8 cm^2 in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius? (Round answers to four decimal places.) (a) What radius produces such a disk? (Round your answer to four decimal places.) \text { (c) In terms of the } \varepsilon, \delta \text { definition of } \lim _{x \rightarrow a} f(x)=L, \text { what is } x ? What is f(x)? What is a? What is L? What value of e is given? What is the corresponding value of 8? (Round your answer to four decimal places.)

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6

Fig: 7

Fig: 8

Fig: 9