Question

In: Math

(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.

Solutions

Expert Solution



Related Solutions

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
Find the equation of the hyperbola with: (a) Foci (1, −3) and (1, 5) and one...
Find the equation of the hyperbola with: (a) Foci (1, −3) and (1, 5) and one vertex (1, −1). (b) Vertices (2, −1) and (2, 3), and asymptote x = 2y. Consider the set of points described by the equation 16x2 −4y2 −64x−24y+19=0. (a) Show that the given equation describes a hyperbola and find the center of the hyperbola. (b) Determine the equations of the directrices as well as the eccentricity.
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).
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.
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.
Find the vertical asymptotes (if any) of the graph of the function. (Use n as an...
Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary integer if necessary. If an answer does not exist, enter DNE.) h(x) = x2 − 9 x3 + 3x2 − x − 3 (line in the middle of both functions is a division line)
Is this true or false? The foci for the hyperbola ((x-2)^(2))/(36)-((y+1)^(2))/(64)=1 are (2, -1 +4\sqrt(7) and...
Is this true or false? The foci for the hyperbola ((x-2)^(2))/(36)-((y+1)^(2))/(64)=1 are (2, -1 +4\sqrt(7) and (2, -1 - 4\sqrt(7)
Sketch the graph of f by hand and use your sketch to find the absolute and...
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(t) = 2 cos(t),    −3π/2 ≤ t ≤ 3π/2 absolute maximum value     absolute minimum value local maximum value(s) local minimum value(s)
Sketch the graph of f by hand and use your sketch to find the absolute and...
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = x2     if −1 ≤ x ≤ 0 2 − 3x     if 0 < x ≤ 1 absolute maximum value     absolute minimum value local maximum value(s) local minimum value(s)
Sketch the graph of f by hand and use your sketch to find the absolute and...
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (If an answer does not exist, enter DNE.) Absolute maximum, absolute minimum, local maximum, local minimum. f(x) = ln 3x, 0 < x ≤ 7 Find the absolute maximum and absolute minimum values of f on the given intervals(absolute maximum, absolute minimum). f(x) = 6x^3 − 9x^2 − 216x + 3, [−4, 5] f(x) = x/x^2 −...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT