Suppose a sheet of metal with density 3 kg/m² is cut in the shape of the region R bounded √16-2 and the axis (this is an upper half circle with radius 4). between y= (a) Find the total mas of the sheet of metal. Include units. (Hint: Use geometry.] A = 2₁² ska What are the coordinates (, ) of the centroid of the sheet of metal? You may use the formulas and y=, where M₂ = p forf(x) dx, My = f(f(x))² dr, and T is the total mass from part (a). [Hint: There is a fast way to find F.] =