An artist has decided to nish their piece of artwork by balancing it on a fulcrum and putting it on display. The artwork has constant density and must be balanced at its centroid. The shape of the artwork was created on a computer program then casted and fabricated. The following equation was put into the computer to generate the shape: y = sin(7r:r] + 5 bounded by .r = 0, 3: = 2, and y = 0. Find the centroid (5:, g), and state as an ordered pair. Also, draw the Lamina in an my plane and put a dot where the centroid should be