Find an equation for the ellipse that satisfies the Foci (±3, 0), with a lenght of the minor axis being 6

Q: Find the equation of an ellipse satisfying the given conditions. Foci: (-2, 0) and (2, 0); length of…

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Q: Graph the ellipse x2/25 + (y - 2)2/36 = 1 and give the location of its foci.

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Q: Write an equation for the given ellipse that satisfies the following conditions. Center at (1,1);…

A: Given Center (1,1) Minor axis vertical with length 16 c=6

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: (±4, 0), vertices: (±5,…

A: Vertices(±a,0)Focii(±c,0)

Q: Find an equation for the ellipse shown in the figure.

A: Center, (h,k)=(0,0) Length of major axis, 2a=8 Length of minor axis, 2b=6

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: (±5, 0), length of major…

A: To find an equation for the ellipse that satisfies the given conditions. Given:- Foci: (±5, 0) and…

Q: Find the standard form of the equation of the ellipse and give the location of its foci.

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Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(±√15, 0), vertices:…

A: The general equation of an ellipse with its major axis parallel to x-axis is given as x2a2+y2b2=1 .…

Q: Find an equation of the ellipse with center at (0, 0); vertex at (0, 4); focus at (0, -2).

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Q: Find the standard form of the equation of the ellipse and give the location of its foci.

A: Standard equation of an ellipse, x-h2b2+y-k2a2=1 Where a > b Where (h, k) is center of an…

Q: Find the equation of an ellipse satisfying the given conditions. Foci: (-5, 0) and (5, 0); length of…

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Q: Find an equation of the ellipse that satisfies the given conditions. Foci (0, ±3), passing through…

A: Use equation of ellipse

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: (0, ±2), length of minor…

A: Given, foci (0, ±c)=(0, ±2) minor axis=2b=6   Therefore, c=2 and b=3

Q: .Determine the equation of an ellipse that satisfies the following properties:  - the center point…

A: Given problem:- 3. Determine the equation of an ellipse that satisfies the following properties:  -…

Q: Find the equation in standard form of the ellipse whose foci are F1(-8, 0) and F2(8, 0), such that…

A: We have to find equation in standard form of the ellipse.

Q: Find the standard form of the equation of the ellipse that satisfies the given conditions. a. Ends…

A: The distance between the endpoints of the minor axis is equal to 2b, so…

Q: Find the equation of the ellipse with foci (0, ±8) and eccentricity e =, and sketch its graph.

A: Given: The foci of an ellipse as 0, ±8 and eccentricity, e=45.

Q: Find the standard equation of the ellipse for the stated conditions. Length of the horizontal major…

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Q: Find an equation for the ellipse whose graph is shown. y X

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Q: Find an equation for the ellipse that satisfies the given conditions. Endpoints of major axis: (410,…

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Q: find the equation of the ellipse obtained by translating (as indicated) the ellipse (x − 8/6)2+(y +…

A: Given equation of ellipse is  x-862+y+432=1

Q: The foci of the ellipse with given equation y2 = 1 are 36 x2 25

A: The given ellipse has mjor axis along y axis.

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, ±2), vertices: (0,…

A: Given, Foci: F(0,±2),  vertices: (0,±5)

Q: Derive the equation for the ellipse with its center at (0,0), vertex at (0,13) and focus at (0,-12)

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Q: Find the equation of the given ellipse. Foci at (±10, 0) and focal vertices at (±26, 0).

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Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, ±2), vertices: (0,…

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Q: Find the standard form of the equation of the ellipse and give the location of its foci. 2) T0 ex:…

A: The given graph is,

Q: Graph the ellipse and give the location of its foci.

A: Given equation of the ellipse is: x-229+y-124=1 To graph the ellipse and the locate the foci.…

Q: Find the standard equation of the ellipse whose foci are F1 (0,8) and F2 (0,-8) such that for any…

A: Given, The foci of the ellipse  F1 (0,8) and F2 (0,-8) Sum of distance of any point from the foci =…

Q: Find an equation for the ellipse that satisfies the following conditions. Center:0,0, Major axis…

A: Given  center (h,k)=(0,0) Major axis a=6 Minor axis b=4 Foci on X axis  therefore equation of…

Q: The equation x2- x   y + y 2  = 3  represents a “rotated ellipse,” that is, an ellipse whose axes…

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Q: The eccentricity of the ellipse x2/4+y2/16=1 is:

A: Given equation of ellipse: x24+y216=1

Q: Graph the ellipse (x - 4)2/9 + (y + 2)2/25 = 1 and give the location of its foci.

A: Given: x-429 + y+2225 = 1 To find: Location of the foci and to graph the ellipse.

Q: Find an equation for the ellipse that satisfies the given conditions. Eccentricity: foci: (0, ±3)

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Q: Find an equation for the ellipse whose graph is shown. I X y X 3 0 4

A: The figure of the ellipse is To evaluate: The equation of ellipse.

Q: Graph the ellipse and give the location of its foci.

A: Given equation of ellipse is: The graph is as follows:

Q: Use the definition of the ellipse to obtain the Cartesian equation.

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Q: Find an equation for the ellipse that satisfies the given conditions. Foci: (0, +3), length of minor…

A: Given Foci=(-,±3) Length of  minor axis=8

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: (+4, 0), vertices: (+5,…

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Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, +V20), vertices:…

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Q: Find an equation for the ellipse with foci (±7,0), and major axis of length 18.

A: topic - equation of ellipse

Q: Find the equation of an ellipse satisfying the given conditions Foci: (- 2, 0) and (2, 0); length of…

A: Equation of the ellipse :    x-h2a2+y-k2b2=1 , where (h,k) is the center of the ellipse .Length of…

Q: Graph the ellipse and give the location of its foci.

A: Given: (x+2)216+(y−3)2=1

Q: Given an ellipse with the equation x²/36+y²+32=1, the distance between the foci is

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Q: Derive the equation of the ellipse b y* =1 a

A: Given: x2b2+y2a2=1

Q: Find an equation for the ellipse whose graph is shown. y F(0, 2) 2

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