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