A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x
in seconds, by the given equation. Using this
equation, find the maximum height reached by the
rocket, to the nearest tenth of a foot.
y = –16x2 + 246x + 100
=

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.