A monk was instructed by his teacher to meditate for exactly forty-five minutes. But the monk didn't have a watch or a clock to use to time himself. At realizing the monk's problem, his instructor handed the monk two incense sticks that each take exactly one hour to burn. The incense sticks however are not identical, and they each burn at a non-uniform rate, since after all they are hand-made. Using these incense sticks and some matches, how can the monk arrange for exactly forty-five minutes of meditation?

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.