Determine the maximum area of a rectangle formed in the region formed by the two curves
y1=x2 - k
y2=x2 + k
The equations are given, I tried using k=1. so y1= x2 - 1, etc.
The Attempt at a Solution
Is it true that the rectangle has to be sideways (i.e. NOT parallel to the axes in order to maximize the area of the rectangle?)