1. Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci...

1. Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci at (-5,0) and (5,0); vertices at (1,0) and (-1,0).

2. Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci at (0,-8) and (0,8); vertices at (0,2) and (0,-2).

Expert Solution

milcah answered 2 years ago

Find the equation of the hyperbola with: (a) Foci (1, −3) and (1, 5) and one...

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question 11 a, b, and c a. Find the equation of the hyperbola satisfying the given...

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Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an...

Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer does not exist, enter DNE.) x2 − 2.25y2 + 22.5y − 92.25 = 0

1).Find an equation for the conic that satisfies the given conditions. ellipse, foci (0, −3), (8, −3),...

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Find an equation of the hyperbola such that for any point on the hyperbola, the difference...

Find an equation of the hyperbola such that for any point on the hyperbola, the difference between its distances from the points (5, 6) and (13, 6) is 6.

An equation of a hyperbola is given. 25x2 − 16y2 = 400 (a) Find the vertices,...

An equation of a hyperbola is given. 25x2 − 16y2 = 400 (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) vertex (x, y) = (smaller x-value) vertex (x, y) = (larger x-value) focus (x, y) = (smaller x-value) focus (x, y) = (larger x-value) asymptotes (b) Determine the length of the transverse axis. (c) Sketch a graph of the hyperbola.

(a) Find the vertices, foci and asymptotes of the hyperbola and sketch its graph 9y^2 −...

(a) Find the vertices, foci and asymptotes of the hyperbola and sketch its graph 9y^2 − 4x^2 − 72y + 8x + 176 = 0. (b) Find the vertex, focus and directrix of the parabola and sketch its graph 6y^2 + x − 36y + 55 = 0.

An equation of a hyperbola is given. y^2/36 - x^2/64 = 1 (a) Find the vertices,...

An equation of a hyperbola is given. y^2/36 - x^2/64 = 1 (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) vertex (x, y) = (smaller y-value) vertex (x, y) = (larger y-value) focus (x, y) = (smaller y-value) focus (x, y) = (larger y-value) asymptotes (b) Determine the length of the transverse axis. (c) Sketch a graph of the hyperbola.

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