Solution: Find the area bounded by the parabolas y = 6x – x^2 and y = x^2 – 2x.

Find the area bounded by the parabolas y = 6x – x^2 and y = x^2 – 2x. Note. The parabolas intersect at points (0, 0) and (4, 8). How to find the area of the region bounded by the parabolas?

Find the area bounded by the parabolas y = 6x – x^2 and y = x^2 – 2x.

Problem Statement: EE Board April 1997

Find the area bounded by the parabolas y = 6x – x^2 and y = x^2 – 2x. Note. The parabolas intersect at points (0, 0) and (4, 8).

Problem Answer:

The area of the region bounded by the parabolas is 64/3 sq. units.

Solution:

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