The six basic functions are: 1. function, latex: f\left(x\right)=xf ( x ) = x 2. function, latex: f\left(x\right)=x^2f ( x ) = x 2 3. function, latex: f\left(x\right)=x^3f ( x ) = x 3 4. function, latex: f\left(x\right)=\sqrt{x}f ( x ) = x 5. function, latex: f\left(x\right)=\sqrt[\: 3]{x}f ( x ) = x 3 6. function, latex: f\left(x\right)=|x|

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), 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) = 3.14(p)^2 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 8 minutes? you may use 3.14 to approximate pi in this problem.