y = /3(x – 3) t=-1 Let R be the region enclosed by the loop of the curve in Example 1. (1, 2) a. Find the area of R. b. If R is rotated about the z-axis, find the volume of the resulting solid. (3, 0) c. Find the centroid of R. T 43, 44, 45, and 46 Set up an integral that represents the length of the part of the paramet curve shown in the graph. Then use a calculator (or computer) to find the length correct to fo decimal places. t=1 (1, -2) y=-V3(x – 3)

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