Approximate the length of the graph of the ellipse 4x2 + 9y2 = 36 in the first quadrant using Gaussian Quadrature with n = 5. Determine the error in the approximation given that the actual length is 3.7437137.

Q: x* + 2y? - 2x + 8y - 11 = 0 (illpse) x2 = 1 (llyperholu) 36 64

A: Equation of ellipse given is- x2+2y2-2x+8y-11=0 Standard form of this equation can be written as-…

Q: Given the values ​​of a = 4, b = 3, determine the equation of the vertical ellipse.

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A: See the pic

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Q: 3. Determine the lengths of the radius vectors of the point P (2, 1) of the ellipse 27x² + 3y²-54x -…

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A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 2x2 + 3y2 – 12 = 0 - 24 1 44 200 12 14 14 15 14 24 erom 22 24 24 O y=vC(12-2x*2)/3) O…

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Q: What is the equation of the given ellipse? YA

A: Vertex ( -3 , 2 ) covertex ( -1 , -1.5 )   Center= ( h , k )= ( -3 , - 1.5 )   Major axis b = 2 - (…

Q: On which curve does the perpendicular tangents drawn to the hyperbola ²²² 1 25 16 = 1 intersect?

A: The given hyperbola is x225-y216=1 Rewrite the equation as x252-y242=1 Comparing with general…

Q: 4. 6리2x+6y-244-6-O

A: Given conic:                           6x2 - 12x + 6y2 - 24y - 6 = 0              =&gt;        x2 +…

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A: NOTE: Refresh your page if you can't see any equations. . given vertices are here midpoint of these…

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Q: graph of each hy

A: Here we have to graph the (x+1)29-(y-2)21=1 ..............................(1)…

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.