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Find the Values of C Such That the Area of the Region

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Find the values of c such that the area of the region bounded by the parabolas y=x2c2 and y=c2x2y=x^{2}-c^{2} \text { and } y=c^{2}-x^{2} is 2727 .


Definitions:

Diplococci

A term used to describe a pair of round bacteria, often found in species such as Streptococcus pneumoniae, which can cause various infections.

Bacilli

A classification of bacteria that are rod-shaped, found in various environments and including both pathogenic and non-pathogenic species.

Lateral Gene Transfer

The non-inheritance transmission of genetic material between different species, contributing to genetic diversity and evolution.

Vertical Gene Transfer

The transmission of genetic information from parent to offspring through sexual or asexual reproduction.

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