4. Use the following functions to answer each question below.
f(y)=(y-1)²+2 and g(y) = 6

b) Find the area of the region between the
functions by integrating over the y-axis.

c) Find the volume when the region between the functions is revolves about the line y=-1

d) Set-up an integral to represent the volume for a solid formed whose base is the region bounded by the function f and g, using cross sections of squares perpendicular to the y-axis.

e) Let the line given by h(x)=x-3 intersect f(y) and g(y). Find the area bounded above by h(x), bounded to the right by g(y), and bounded below by f(y).