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Find the coordinates of the foci, the vertices, the eccentricity and the length of the latus rectum of the Hyperbola `16x^(2)-9y^(2)=576`

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To solve the problem, we need to find the coordinates of the foci, the vertices, the eccentricity, and the length of the latus rectum of the hyperbola given by the equation \(16x^2 - 9y^2 = 576\). ### Step 1: Rewrite the equation in standard form First, we will rewrite the equation of the hyperbola in standard form. We start with: \[ 16x^2 - 9y^2 = 576 \] Now, divide both sides by 576: ...
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