2. Examine the laminar region depicted in the figure below. 4 : 2 -~ X 2 + 2 2 = 4 x (a) Is the region horizontally simple (i.e. are all horizontal slices of the region bounded by the same functions)? Is it vertically simple? (b) Describe the region with a set of inequalities for rectangular coordinates. Describe the region in polar coordinates. (c) If the coordinates of the region are given in meters and the region has a laminar density given by p(x, y) = zy kg/m', what is the mass of the region? (d) What is the center of mass for the lamina? (e) What are the moments of inertia for the lamina