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.

Expert Solution

milcah answered 2 years ago

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.

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

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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.

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Consider the curve given by the equation y^2 - 2x^2y = 3 a) Find dy/dx. b)...

Consider the curve given by the equation y^2 - 2x^2y = 3 a) Find dy/dx. b) Write an equation for the line tangent to the curve at the point (1, -1). c) Find the coordinates of all points on the curve at which the line tangent to the curve at that point is horizontal. d) Evaluate d 2y /dx2 at the point (1, -1).

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)

How to transform x^2+xy+y^2+4x+2y=0 into the standard for of an ellipse and finding the vertices of...

How to transform x^2+xy+y^2+4x+2y=0 into the standard for of an ellipse and finding the vertices of both major and minor axis. Plot points and graph the ellipse.

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.

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).

y'''-2y"-y'+2y=xex^2+2x a) Find a general solution to the corresponding homogeneous equation, given that e2x is one....

y'''-2y"-y'+2y=xex^2+2x a) Find a general solution to the corresponding homogeneous equation, given that e2x is one. b) In the method of variation of parameters, find v1, where v1e2x + v2y2 + v3y3 = yp is a particular solution to the inhomogeneous equation. Use the method of variation of parameters Please explain and show work, thanks!

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