Question

(4 points) 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 limit limx→a f(x) = L, what is f(x)? What is a? What is L?

Answer 1

Answer: a) the radius is 17.846.

b) r = 17.846+-0.044cm

c) f(×) = πr^2, a=17.846cm, L=1000cm^2

Explanation: a) circle area = A = πr^2, then r = √(A/π) = √(1000/3.14) = 17.846

c) funtion is the area equation,