The parabola y = x divides the disk x + y 8 into two parts,...

Transcribed Image Text:

The parabola y = 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 (6 Points) i. Find the points of intersection. BA ii. Let A, be the region bounded by √8-x² above by the parabola below. (a Trig substitution will be needed) iii. Let A, be the region bounded by the parabola above and by the disk below. (area of the disk-area of A₁) The parabola y = 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 (6 Points) i. Find the points of intersection. BA ii. Let A, be the region bounded by √8-x² above by the parabola below. (a Trig substitution will be needed) iii. Let A, be the region bounded by the parabola above and by the disk below. (area of the disk-area of A₁)