The parabola y=(1/2)x² divides the disk x² + y² ≤ 8 into two parts (see figure). Find the area of each part. To solve this problem, perform the following i. Find the points of intersection.  ii. Let A₁ be the region bounded by √(8 - x²) above by the parabola below. (a Trig substitution will be needed) iii. Let A₂ be the region bounded by the parabola above and by the disk below. (area of the disk- area of A₁)

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