Posted by **Graham** on Monday, November 18, 2013 at 8:45pm.

Find the number b such that the line y = b divides the region bounded by the curves y = 4x2 and y = 1 into two regions with equal area. (Round your answer to two decimal places.)

- Calculus -
**Steve**, Tuesday, November 19, 2013 at 12:24am
We need the whole area to be twice the

area under the line y=b.

y(1/2) = 1

y(√b/2) = b

So, integrating along x, we need

∫[0,1/2] 1-4x^2 dx = 2∫[0,√b/2] b-4x^2 dx

Now just evaluate the integrals and solve the polynomial for b.

## Answer This Question

## Related Questions

- Calc - 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...
- calculus - Find the number b such that the line y = b divides the region bounded...
- 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 x-axis, the graph of y=sqr(x) , and...
- Calculus - The region R is bounded by the x-axis, x = 1, x = 3, and y = 1/x^3 A...

More Related Questions