Let Bold v 1equals[Start 3 By 1 Matrix 1st Row 1st Column 0 2nd Row 1st Column 0 3rd Row 1st Column negative 2 EndMatrix ], Bold v 2equals[Start 3 By 1 Matrix 1st Row 1st Column 0 2nd Row 1st Column negative 6 3rd Row 1st Column 4 EndMatrix ], and Bold v 3equals[Start 3 By 1 Matrix 1st Row 1st Column 2 2nd Row 1st Column negative 2 3rd Row 1st Column negative 6 EndMatrix ]. Does StartSet Bold v 1 comma Bold v 2 comma Bold v 3 EndSet span set of real numbers R cubed? Why or why not?

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.