Find an equation of the ellipse with foci at (−4,3) and (−4,−9) and whose major axis...

Find an equation of the ellipse with foci at (−4,3) and (−4,−9) and whose major axis has length 30. Express your answer in the form P(x,y)=0, where P(x,y) is a polynomial in x and y such that the coefficient of x^2 is 225.

Expert Solution

Colby Messinger answered 2 years ago

Find the equation of the ellipse with foci at (0, 0) and (2, 2), with eccentricity...

Find the equation of the ellipse with foci at (0, 0) and (2, 2), with eccentricity e = 0.5. Express the equation in standard form ax2 + by2 + cxy + dx + ey = f and in terms of the distance formula sqrt(x^2+y^2) + sqrt[(x-2)^2 +(y-2)^2]=? There is an answer posted on Chegg, but I don't think I agree with it. Since the foci are at (0, 0) and (2, 2) it seems that the major axis is rotated...

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 equation of the ellipse of the form Ax^2+Cy^2+Dx+Ey+F=0 with major axis of lenght 10...

Find the equation of the ellipse of the form Ax^2+Cy^2+Dx+Ey+F=0 with major axis of lenght 10 and foci have coordinates (8,2) and (0,2).

find the coordinates of the center and foci and the lengths of the major and minor...

find the coordinates of the center and foci and the lengths of the major and minor axes for the ellipse with the given equation. remember to complete the square in oder to accuartely graph the ellipse: 9x^2+6y^2-36x+12y=12

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 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.

For the ellipse 6? 2 + 4? 2 = 36, find the eccentricity and sketch the...

For the ellipse 6? 2 + 4? 2 = 36, find the eccentricity and sketch the graph showing all main features including axis intercepts, foci and directrices. b) Using exclusively some part of your answer to part a), determine the foci and directrices for the curve: (? + 2) 2 6 + (? − 3) 2 9 =

Find the general solution of the given second-order differential equation. 1. 4?'' + 9? = 15...

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Q. Show that the ellipse x^2/4+ y^2/9= 1 in R2 is connected, and show that the function...

Q. Show that the ellipse x^2/4+ y^2/9= 1 in R2 is connected, and show that the function f(x, y) = 3 x^3− 5y^3 − 4 has a zero on the above ellipse.

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