xy = 1, x = 0, y = 1, y = 3 Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the y=-2.
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To determine the bounded region, graph the given equations.(See Figure 1). Then, shade the bounded region.
Since the axis of rotation is horizontal, in cylindrical method, the rectangular strip to be drawn inside the bounded region should be parallel to the axis of rotation. So, draw a horizontal strip inside the bounded region.
When the strip is rotated about y=-2, a cylinder is formed. (See Figure 2). To get its volume using the method of cylindrical shell, the formula is:
`V = 2 pi r h Delta r `
where r...
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