6 (a) Sketch the curve z = y² - 3y and the line x + y = 3, and find the exact value of the area enclosed. (b) Sketch the region enclosed by the curve y = √2r and the line y = x, and find the volume of the solid obtained by revolution of this region about the line y = -1. Find the average value of f(x) = =√16-2² on the interval [0, 2].

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