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] 14x^2 dx = 2∫[0,√b/2] b4x^2 dx
Now just evaluate the integrals and solve the polynomial for b.
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