A machinist is required to manufacture a circular metal disk with area 610
c m 2 \displaystyle {c}{m}^{{2}} c m 2 . Give your answers in exact form. Do not write them as decimal approximations.
a) What radius,
x \displaystyle {x} x , produces such a disk?
Preview Question 6 Part 1 of 7
b) If the machinist is allowed an error tolerance of
± 5 c m 2 \displaystyle \pm{5}\ {c}{m}^{{2}} ± 5 c m 2 in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius?
Preview Question 6 Part 2 of 7
c) Using the
ϵ \displaystyle \epsilon ϵ /
δ \displaystyle \delta δ definition of a limit, determine each of the following values in this context:
f ( x ) = \displaystyle {f{{\left({x}\right)}}}= f ( x ) = Preview Question 6 Part 3 of 7 a = \displaystyle {a}= a = Preview Question 6 Part 4 of 7 L = \displaystyle {L}= L = Preview Question 6 Part 5 of 7 ϵ = \displaystyle \epsilon= ϵ = Preview Question 6 Part 6 of 7 δ = \displaystyle \delta= δ = Preview Question 6 Part 7 of 7 Submit Try a similar question
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Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c