A machinist is required to manufacture a circular metal disk with area 500 cm2. (a) What radius produces such a disk? (Round your answer to four decimal places.) 12.6188 cm (b) If the machinist is allowed an error tolerance of ±4 cm2 in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius? (Round your answers to four decimal places.) 12.5683 cm < r < 12.6692 cm (c) In terms of the ε, δ definition of lim x→a f(x) = L, what is x? area target radius radius target area tolerance in the area What is f(x)? area target radius radius target area tolerance in the area What is a? area target radius radius target area tolerance in the area What is L? area target radius radius target area tolerance in the area What value of ε is given? cm2 What is the corresponding value of δ? (Round your answer to four decimal places.) cm