Use Laplace transforms to solve
d^4y/dt^4 −81y = 216 δ(t),

Find the equation of the trend line (line of best fit). show your work i'm using the points (34,76) (42,91)

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.

Which radical expression is a rational number? a. √ 360 b. √ 644 c. √ 225 d. √ 122