# Find the number #b# such that the line y=b divides the region...?

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Find the number #b# such that the line y=b divides the region bounded by the curves #y=x^2# and #y=4# into two regions with equal area.

Find the number

##### 1 Answer

Sep 19, 2017

Find the area of the region first.

#### Explanation:

The area of the region is given by

Second,

Third, we want to find b such that

This will occur if and only if

Integrate:

Now set this equal to

or