3. A machinist is required to manufacture a circular metal disk with area 1000 cm?. a. What radius produces such a disk? b. If the machinist is allowed an error tolerance of +E5cm2 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 e, & definition of lima f(x) = L, what is x? What is f(x)? What is a? What is L? What value of e is given? What is the corresponding %3D value of 8?

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ISBN:9780470458365
Author:Erwin Kreyszig
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3. 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 +5cm² 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 e, & definition of lim,a f (x) = L, 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?
4. Evaluate the following limits
(3+x)2-9
(a) lim,0
(b) lim,1
1
Transcribed Image Text:3. 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 +5cm² 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 e, & definition of lim,a f (x) = L, 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? 4. Evaluate the following limits (3+x)2-9 (a) lim,0 (b) lim,1 1
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