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Mathematics, 06.05.2021 20:10 owenr4758

A container of oil has spilled on a concrete floor. The oil flow can be expressed with the function n(t) = 7t, where t represents time in minutes and n represents how far the oil is spreading. The flowing oil is creating a circular pattern on the concrete. The area of the pattern can be expressed as A(n) = πn2.

Part A: Find the area of the circle of spilled oil as a function of time, or A[n(t)]. Show your work. (6 points)

Part B: How large is the area of spilled oil after 8 minutes? You may use 3.14 to approximate π in this problem. (4 points)

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