Posted by Courtney on Wednesday, November 9, 2011 at 1:43pm.
Find the number b such that the line y = b divides the region bounded by the curves y = 16x2 and y = 9 into two regions with equal area. (Round your answer to two decimal places.)

calculus  Steve, Wednesday, November 9, 2011 at 7:56pm
We want
Int(x dy)[0,b] = Int(x dy)[b,9]
x = 1/4 y^(1/2)
Int(y^(1/2))[0,b] = Int(y^1/2)[b,9]
2/3 y^(3/2)[0,b] = 2/3 y^(3/2)[b,9]
2/3 b^(3/2) = 2/3 9^(3/2)  2/3 b^(3/2)
4/3 b^(3/2) = 2/3 9^(3/2)
2b^(3/2) = 9^(3/2)
2^(2/3) b = 9
b = 9/2^(2/3) = 9/cbrt(4)
Answer This Question
Related Questions
 calculus  Find the number b such that the line y = b divides the region bounded...
 Calculus  Find the number b such that the line y = b divides the region bounded...
 Calc  Find the number b such that the line y = b divides the region bounded by ...
 Calculus  Find the number a such that the line x = a divides the region ...
 cal 2  Find the number b such that the line y = b divides the region bounded by...
 Calculus  Find the number b such that the line y = b divides the region bounded...
 calc  Find the number a such that the line x = a divides the region bounded by ...
 CALCULUS problem  There are four parts to this one question, and would really ...
 calc  1. Let R be the region bounded by the xaxis, the graph of y=sqr(x) , and...
 Calculus  The region R is bounded by the xaxis, x = 1, x = 3, and y = 1/x^3 A...
More Related Questions