Unformatted text preview: y-axis and y = 2-x bound a region. Calculate the volume of the solid of revolution obtained by rotating this region about the x-axis in two di±erent ways: (a) the washer method; (b) the cylindrical shells method. 4) (8 Points) Find the length of the curve parametrized by x = cost , y = t + sint , 0 ≤ t ≤ π . 5) (12 points) (Center of mass or surfaces of revolution) Find the area of the surface of revolution obtained by rotating the arc y = √ x , 3 / 4 ≤ x ≤ 15 / 4 about the x-axis. 1...
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- Spring '08
- Math, Archimedes, Surface of Revolution, Pappus's centroid theorem