Question

In: Math

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.

Solutions

Expert Solution

milcah answered 2 years ago
Next > < Previous

Related Solutions

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.
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)
Hyperbolas 4(y - 1)^2 - (x + 4)^2 - 36 =0 find the x- and y-...
Hyperbolas 4(y - 1)^2 - (x + 4)^2 - 36 =0 find the x- and y- intercepts. label on graph state the domain and range
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
(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.
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.
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 an ellipse is given. 2x^2 + 64y^2 = 128 (a) Find the vertices,...
An equation of an ellipse is given. 2x^2 + 64y^2 = 128 (a) Find the vertices, foci, and eccentricity of the ellipse. vertex(x, y)= (smaller x-value) vertex(x, y)= (larger x-value) focus(x, y)= (smaller x value) focu (x, y)= (larger x-value) eccentricity (b) Determine the length of the major axis. Determine the length of the minor axis. (c) Sketch a graph of the ellipse.
question 11 a, b, and c a. Find the equation of the hyperbola satisfying the given...
question 11 a, b, and c a. Find the equation of the hyperbola satisfying the given conditions. Vertices at (-12, 0) and (12, 0); focus at (3squareroot 17, 0) b. Determine whether the given function is one-to-one. If it is one-to-one, find a formula for the inverse f(x)=6x-3/6x+3 c. Solve. How long will it take for $1600 to grow to $14,000 at an interest rate of 3.7% if the interest is compounded continuously? Round the number of years to the...
A rectangle has one side on the x-axis and two vertices on the curve y=2/(1+x^2) Find...
A rectangle has one side on the x-axis and two vertices on the curve y=2/(1+x^2) Find the vertices of the rectangle with maximum area. Enter your answer as a list of points (a, b) separated by semicolons. The order of the list does not matter.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT