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Mathematics, 02.02.2020 17:43 brianrodriguez2005

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 5t, where t represents time in minutes and p represents how far the paint is spreading.

the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = πp2.

part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work.

part b: how large is the area of spilled paint after 2 minutes? you may use 3.14 to approximate π in this problem.

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