Write the equation of the ellipse using the given information. The ellipse has foci (0, 3) and (0, –3) and major vertices (0, 5) and (0, –5).

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

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Q: Find an equation of the ellipse (in general form) given the following conditions: a. The sum of the…

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Q: For Exercise, write the standard form of an equation of an ellipse subject to the given conditions.…

A: Given:

Q: Find the standard form of the equation of the ellipse satisfying the following conditions. vertices…

A: Given:Vertices of major axis: (-2,12) and (-2,4)Length of minor axis is 4

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 the standard form of the equation of the ellipse satisfying the given conditions.Foci: (-6, 0),…

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Q: 6. Write the equation of the ellipse in standard form. Identify the center, foci, vertices, and…

A: Given :

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, ±/10), vertices:…

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Q: Find the equation of the ellipse. Then find its foci. 1. 2.

A: Given:

Q: Find an equation for the ellipse that has its center at the origin and satisfies the given…

A: The center of the ellipse is 0,0. The vertices of the ellipse are  0,7 and 0,-7. The focus of the…

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: the standard form of the equation of the ellipse and give the location of its foci. (1.-2)

A: we have to find the standard equation of given ellipse and the location of foci.

Q: Find the center, vertices, and foci given the following equation of an ellipse. (x – 3)2, (y- 9)² |…

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Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (-5,…

A: Given y coordinate is zero hence given ellipse is horizontal ellipse

Q: Find an equation for the ellipse whose vertices are at (−1,−3) and (5,−3)​, and focus is at (4,−3).…

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Q: An equation of an ellipse is given. x2 (y + 10)2 = 1 36 100 (a) Find the center, vertices, and…

A: Since you have asked multiple question, we will solve the first 3 question for you. If youwant any…

Q: Determine the standard equation of the ellipse using the stated information. Vertices at (- 3,10)…

A: Vertices of the ellipse are -3, 10  &  -3, -6 and the length of minor axis is 10 units. Now…

Q: Find the equation of the ellipse with the following properties. Express your answer in standard…

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Q: Find the standard form of the equation of the ellipse with the given characteristics and center at…

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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: Find the standard form of the equation of an ellipse with the given characteristics. Foci (0,-3) and…

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Q: Find an equation for the ellipse Center at (1,3), a=5c%=3major avis vertical The equation for the…

A: Given that center at (1,3); a=5; c=3; major axis vertical. Here we have to find an equation for the…

Q: The equation of the ellipse that has a center at (8, 3), a focus at (4, 3), and a vertex at (3, 3),…

A: Given center (8,3) which is (h,k)Distance between center and vertex gives aWe know that distance…

Q: Write the standard form of an equation of an ellipse subject to the given conditions. Vertices: (6,…

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Q: Write the standard form of an equation of an ellipse subject to the given conditions. Vertices: (6,…

A: Given data: Vertices: 6,0 and -6,0 Foci: 4,0 and -4,0

Q: Give the equation in standard form of the ellipse centered at the origin with a focus at (0, 4), and…

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Q: Write the standard form of an equation of an ellipse subject to the given conditions. (1) Vertices:…

A: The objective is to find the equation of an ellipse with vertices at (0,5) & (0,-5). Passes…

Q: Given the equation of the ellipse, list the coordinates of the center, vertices, co-vertices and…

A: The equation of ellipse is given as , x216+y264=1 find coordinates of center , vertices ,…

Q: Write the standard form of an equation of an ellipse subject to the given conditions. Vertices:…

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Q: Find the equation of the ellipse with the given properties: Vertices at (+9, 0) and (0, ±25) 1

A: Solution:-

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, ±2), vertices: (0,…

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Q: Express the equation of the ellipse given in standard form. Identify the center, vertices,…

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Q: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci.

A: x-3216+y+429=1 Comparing with x-h2a2+y-k2b2=1, we get h=3,  k=-4,  a2=16  &  b2=9⇒h=3,  k=-4,…

Q: Given the equation of the ellipse, list the coordinates of the center, vertices, co-vertices and…

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Q: Find an equation for the ellipse that has its center at the origin and satisfies the given…

A: The given ellipse is of the form whose major axis along the y axis  .The equation of this type of…

Q: Find the standard form of the equation of the ellipse satisfying the following conditions. Vertices…

A: Major axis is parallel to y axis. So the standard form will look like:

Q: Find the equation of the ellipse, centered at the origin, satisfying the conditions. foci (+ 3,0),…

A: Here, we will find the Constant distance which is sum of distances from FOCI to the points (x,y)…

Q: Find the standard form of the equation of the ellipse with the given characteristics and center at…

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Q: Use the information provided to write the standard form equation of each ellipse. 1) Vertices: (11,…

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Q: Find an equation for the ellipse that has its center at the origin and satisfies the given…

A: The general equation of the ellipse with center at (h, k) and vertices along the vertical line is…

Q: Fill in the blank/s: If the foci of an ellipse are located at (-8, 6) and (10, 12), then the…

A: Given coordinates of Foci are (-8, 6) and (10, 12) Consider the coordinates of the center of the…

Q: () and (.0) and 13. Vertices at one

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Q: Find an equation for the ellipse whose vertices are at (- 7, - 1) and (3, – 1), and focus is at (2,…

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Q: Find the standard form of the equation of the ellipse with the given characteristics and center at…

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Q: Write the standard equation for the ellipse with the following conditions: Foci: (0, 2) and (0, 8)…

A: as per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Find the standard form of the equation of the ellipse with the given characteristics and center at…

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