Aparabolic listening device is shaped such that the depth of the bowl depends on its radius and can be represented by the curve d(r) = 0.145r2.
what is the radius when the depth is 8 inches? round to the nearest thousandth of an inch.
4.417 inches
5.252 inches
7.428 inches
20.505 inches

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.