An artist has decided to finish their piece of artwork by balancing it on a fulcrum and putting it on display. of the artwork was The artwork has constant density and must be balanced at its centroid. The sha created on a computer program then casted and fabricated. The following equation was put into the computer to generate the shape: y = 4 sin(x) + 6 bounded by x = 0, x = 2, and y = 0 Draw the Lamina in an x-y plane and put a dot where the centroid should be. Show all work and formulas you are using. The centroid is at (, y), where T = y =

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