Question: Let R be the region bounded by the upper half of the ellipse x 2 /2 + y 2 = 1 and the parabola y

Let R be the region bounded by the upper half of the ellipse x²/2 + y² = 1 and the parabola y = x²/√2.

a. Find the area of R.

b. Which is greater, the volume of the solid generated when R is revolved about the x-axis or the volume of the solid generated when R is revolved about the y-axis?

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