4. A thin lamina with constant density 5 g/cm² covers the region R bounded by y = ff(x) = 20x - x² and the x-axis. (a) Find the total mass of the lamina. First write down a definite integral for the value, and then use a calculator to find the exact value of the mass. (b) Find the coordinates (,) of the center of mass of the lamina. First write down a definite integral for each related value, and then use a calculator to evaluate, giving an answer rounded off to two decimal places for each coordinate. (c) Sketch the center of mass (.) on the graph.

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