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## Homework Statement

Determine the maximum area of a rectangle formed in the region formed by the two curves

y1=x

^{2}- k

y2=x

^{2}+ k

## Homework Equations

The equations are given, I tried using k=1. so y1= x

^{2 }- 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?)