Identify intervals on which the function is increasing, decreasing, or constant. g(x) = 1 - (x - 7)^2 select one: a. increasing: x < 7; decreasing: x > 7 b. increasing: x < -7; decreasing: x > -7 c. increasing: x > 1; decreasing: x < 1 d. increasing: x < 1; decreasing: x > 1

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.