A machinist is required to manufacture a circular metal disk with area 864 cm². Give your answers in exact form. Do not write them as decimal approximations. a) What radius, x, produces such a disk? b) If the machinist is allowed an error tolerance of ±5 cm² in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius? ¯)(√ 2-√ a = L 861 π E 5 c) Using the ε/ definition of a limit, determine each of the following values in this context: f(x) 2 TX =856 856 π 856 π 861 856 π π X X OF 856 T 851 π 856 851 ³- {(√²-√²)(√²-√² )}, 8 T 856 π X X π

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