Question

In: Math

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).

Solutions

Expert Solution


Related Solutions

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.
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...
1).Find an equation for the conic that satisfies the given conditions. ellipse,    foci (0, −3), (8, −3),...
1).Find an equation for the conic that satisfies the given conditions. ellipse,    foci (0, −3), (8, −3),     vertex (9, −3)
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
Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope...
Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation. Slope =3, passing through (6 ,2) What is the point-slope form of the equation of the line? __? (Simplify your answer. Use integers or fractions for any numbers in the equation.) What is the slope-intercept form of the equation of the line? __? (Simplify your answer. Use integers or fractions for any...
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.
1] Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If you are...
1] Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing​ utility, use it to graph the function and verify the real zeros and the given function value. n=​3; 2 and 5i are zeros; f(1) = 52 f(x)= ? ​(Type an expression using x as the variable. Simplify your​ answer.) 2] Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing​ utility, use it...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT