Slader n 15.lety=and. n=0 a. compute y′ and y′′ and write out the first four terms of each series, as well as the coefficient of xn in the general term. b. show that if y′′ = y, then the coefficients a0 and a1 are n=0 ( x − 3) n n x n arbitrary, and determine a2 and a3 in terms of a0 and a1. c. showthatan+2= n ,n=0,1,2,

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.