# Find the values of #c# such that the area...?

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Find the values of #c# such that the area of the region bounded by the parabolas #y=x^2-c^2# and #y=c^2-x^2# is 576.

Find the values of

##### 1 Answer

Sep 19, 2017

#### Explanation:

The two curves are:

and

We can note that for every

Given the symmetry, the area bounded by the two parabolas is twice the area bounded by either parabola and the

If we choose

and posing

we get: