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.

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.