SOLUTION: Please help, I'm stuck! A machinist is to manufacture a circular metal disk with area 900𝜋 cm2 a) What is the ideal radius of such a disk? (gives exactly 900&#120

Algebra.Com
Question 1087689: Please help, I'm stuck!

A machinist is to manufacture a circular metal disk with area 900𝜋 cm2

a) What is the ideal radius of such a disk? (gives exactly 900𝜋 cm2
area)

b) If the machinist is allowed a tolerance of ± 10 𝑐𝑚2
in producing such a disk, by how much can the radius vary from the ideal radius found in part a)?

c) In terms of the 𝜀, 𝛿 definition of lim𝑥→𝑎 𝑓(𝑥) = 𝐿, what is x? What is 𝑓(𝑥)? What is 𝑎? What is 𝐿? What value of 𝜀 is given and what is the corresponding value of 𝛿?

Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!
a) so —> —>
b) For a tolerance of +/- , the Area A can fall in this range: (approx) so the radius can vary over the range cm
or approx. cm so that means the radius can vary approx. cm from the ideal (v = variation from ideal).
c)
           x is the independent variable, I'd say it corresponds to 'r' in the above.
         f(x) is a function of x,  and it corresponds to Area in the above.
           a  is a constant that x approaches, (30cm)
           L  is the limit,   (  )
          The limit is defined such that for 0<|x-p|<,   |f(x) - L| <   for real  and real .   My guess is  and   

 



RELATED QUESTIONS

Please help me with this, I don't see in my book where they discused how to do this.... (answered by stanbon)
A circular disk is cut from the following square sheet of metal. If each side of the... (answered by Cromlix)
Hey, I've been stuck on this problem for a while, I don't really know how to solve it. (answered by Big Poop)
Jimmy has enough paint to cover a surface area of 1 square meter. If he paints a circular (answered by htmentor)
if the cost for materials to make a circular metal disk 3 cm in diameter is $.15, what... (answered by Fombitz)
What is the area of a disk with a radius Z hieght A?Explain. (answered by Fombitz)
A triangle has an height of 14m and a base of 25m. What is the cost to make such a... (answered by josgarithmetic)
The solution(s) of the equation 2cos^2 x tan x=tan x, over the interval [0,2π) is (answered by Cromlix)
A circular mirror is surrounded by a square metal frame. The radius of the circular... (answered by ankor@dixie-net.com)