Find the general equation and standard equation of the hyperbola as described by the given properties. 4) focus (0,10); asymptotes y= ±3/4x

Q: Write the equation of a hyperbola with center at the origin, passing though (±4,0) with no…

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Q: Find the value of Y for the hyperbola defined by the equation y² – x² = 7 at the point (3, 4). dx2

A: The equation is y2-x2=7. First find the value of dydx as follows.…

Q: One focus of a hyperbola lies at the point (0, -7) and the cor-responding directrix is the line y =…

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Q: The parabola described in the equation y = 2(x - 4)2 + 3 has the directrix at y = -1. The focus of…

A: As per the guidelines we are supposed to solve one question at a time. Please repost other questions…

Q: After putting the equation into one of the two forms for the parabola, find the focus and directrix…

A: We have the equation of a parabola x2+6x-12y+33=0 We have to find focus and directrix The…

Q: What is the equation of the standard hyperbola with vertices at(0, ±a) and foci at (0, ±c)?

A: Given-  Hyperbola with vertices at (0, ±a) and foci at (0, ±c). To find- The standard equation of…

Q: Find the equation of a hyperbola whose vertices are (+2,0) and whose foci are (+5,0). x2 A) 4 = 1 21…

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Q: Find an equation of the parabola with focus (-9,-3) and directrix x=-1

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Q: Find an equation for the hyperbola that has vertices  (±3,0) and asymptotes  y=±5x.

A: Given query is to find the equation of the Hyperbola.