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 900x
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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 900x
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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
