A vertical line divides a region into two pieces. Find the value of the coordinate x that maximizes the product of the two areas.

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08-11-2016
Mathematics

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A vertical line divides a region into two pieces. Find the value of the coordinate x that maximizes the product of the two areas.

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syed514 syed514 · Answer 1 · 2016-11-12T18:04:04+01:00

syed514 syed514

12-11-2016

Suppose the two pieces to be A and B such that:
Product Areas=Pa
=AB
=[2x][2(1−x)]
=4x−4x2
then find the rate of change of area function and set to zero : Pa′=0

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