A manufacturer has determined that the weekly profit from the sale of x items is given by the function below. It is estimated that after t days in any week, x items will have been produced. Find the rate of change of profit with respect to time at the end of 6 days. P(x)= - x^2+ 700x - 2000 with x = 0.5t^2 + 4t

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.