Calculate the area of the region use the shell method to


1. Sketch the region bounded by the three curves

y = √x,  y = 2 - x,  and  y = 1/2.

2. Calculate the area of the region.

3. Use the shell method to calculate the volume of the solid formed by rotating the region about the x-axis.

4. Use the washer method to calculate the same volume. Check that the two answers are the same.

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Mathematics: Calculate the area of the region use the shell method to
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