In Exercises 5–12, find the standard form of the equation of each hyperbola satisfying the given conditions. 5. Foci: (0, –3), (0, 3); vertices: (0, –1), (0, 1) 6. Foci: (0, –6), (0, 6); vertices: (0, -2), (0, 2) 7. Foci: (-4, 0), (4, 0); vertices: (-3, 0), (3,0) 8. Foci: (-7, 0), (7, 0); vertices: (-5, 0), (5,0) 9. Endpoints of transverse axis: (0, -6), (0, 6); asymptote: y = 2x 10. Endpoints of transverse axis: (-4,0), (4, 0); asymptote: y = 2r 11. Center: (4, -2); Focus: (7, -2); vertex: (6, -2) 12. Center: (-2, 1); Focus: (-2, 6); vertex: (-2, 4)

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Q: 16. х2 — 2х — 4у — 7 %3D 0

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Q: find the vertices and foci of the conic section.  x 2/9 + y 2/4 = 1

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Q: Identify and sketch the following conic 4x2 - y2 = 16

A: The solution is:

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Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section 9x2 +…

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A: To give an example for n-dimensional hypercube.

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Q: Identify and sketch the graph of the conic section.

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Q: | 3. What are the vertices of this ellipse? O (-9, 2) and (-1, 2) O (-5, 5) and (-5, -1) O (2V2, 2)…

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Q: 6. Find an equation of the sphere that passes through the origin and whose center is (3, 1, 3).

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Q: find the vertices and foci of the conic section.

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A: This question is related to hyperbola, We will solve it using given information.

Q: An example of 4-dimensional hypercube Q 4

A: Given: Let's determine the example of the 4-dimensional hypercube.

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