?A machinist is required to manufacture a circular metal disk with area \(1000

Chapter 2, Problem 11

(choose chapter or problem)

A machinist is required to manufacture a circular metal disk with area \(1000 \mathrm{~cm}^{2}\).

(a) What radius produces such a disk?

(b) If the machinist is allowed an error tolerance of \(\pm 5 \mathrm{~cm}^{2}\) 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 \(\varepsilon, \delta\) definition of \(\lim _{x \rightarrow a} f(x)=L\), what is \(x\) ? What is \(f(x)\)? What is \(a\)? What is \(L\)? What value of \(\varepsilon\) is given? What is the corresponding value of \(\delta\)?

Equation Transcription:

Text Transcription:

1000 cm^2

5 cm^2

lim_x right arrow a f(x)=L

f(x)

delta

L