Find the standard form of the equation of the hyperbola with the given characteristics and center at
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1. Vertices: (0, ±2); foci: (0, ±6)
2. Vertices: (±4, 0); foci: (±5, 0)
3. Vertices: (±1, 0); asymptotes: y = ±3x
4. Vertices: (0, ±3); asymptotes: y = ±3x
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