Friday

August 29, 2014

August 29, 2014

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

- Calculus -
**Steve**, Tuesday, November 19, 2013 at 12:24amWe 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.

**Related Questions**

calculus II - We're doing areas by integrals now, with 2 eqns. I have a few ...

calculus - The region R is defined by 1(</=)x(</=)2 and 0(</=)y(</=)...

calculus - Find a number x0 between 0 and pi such that the tangent line to the ...

integral Calculus - The region in the x-y plane bounded by the curve y=x^2, the ...

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 - The region R is defined by 1(</=)x(</=)2 and 0(</=)y(</=)...

calculus - Find k such that the line is tangent to the graph of the function. ...

Calculus - Find k such that the line is tangent to the graph of the function. ...

Number Line - If an integer a is pictured on the number line then the distance ...