Sketch the parabola and ellipse. Include the directrix that corresponds to the focus at the origin. Label the vertices with appropriate polar coordinates. Label the centers of the ellipses as well. r = 400/[16 + 8Sin u]

Q: Find the vertices and foci of the ellipse. Determine the lengths of the major and minor axes, the…

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Q: In the given equation as follows , find the center, foci, vertices, and eccentricity of the ellipse,…

A: The given ellipse equation is (x+4)2+(y+6)214=1

Q: Find the coordinates of the foci and vertices, the endpoints of the major axis, minor axis, and the…

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Q: Find the focus, equation of the directrices, lengths of major axis, minor axis and focal diameters,…

A: The given equation is 16x2+4y2=1. The general equation of the ellipse is x2a2+y2b2=1 and b>a.…

Q: Write the standard form of an equation of the ellipse subject to the following conditions. 9.…

A: find length of minor and major axis then put in standard of ellipse

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

A: The standard form of the equation of an ellipse with center (h,k) and major axis parallel to the…

Q: Find an equation for the conic that satisfies the given conditions. parabola, focus (5, -3), vertex…

A: The general form of the parabola is given by: y=a(x-h)2+k...(1) where (h,k( is the vertex of the…

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: Given: Foci: (2,1) (10,1) c = 4 a=? b=? Center: (6,1) Find the standard form of the ellipse

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Q: Which conic section is formed in the image shown? O Circle O Parabola Ellipse O Hyperbola

A: we have to select the formation of an image

Q: Use the given information to find the equation for the ellipse. Center at (5, -5), vertex at (10,…

A: Find the equation of the ellipse.

Q: Find a polar equation for the conic Ellipse with its focus at the pole and the vertices (5, 0), (1,…

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Q: State whether the given equation defines an ellipsoid or hyperboloid, and if a hyperboloid, whether…

A: Given, To determine whether the given equation defines an ellipsoid or hyperboloid, and if a…

Q: Find the center, foci, vertices, and eccentricity of the ellipse                               x2 +…

A: Given  The equation of ellipse is x2 + 10y2 − 6x + 20y + 18 = 0 .

Q: Find the equation of the given ellipse with given Foci (±6, 0) and focal vertices (±10, 0)

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Q: Sketch the parabolas and ellipses Include thedirectrix that corresponds to the focus at the origin.…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

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

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Q: 14.) Find the center, foci, vertices, and eccentricity of the ellipse, and sketch the graph of (x –…

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Q: 2. Identify the conic as a hyperbola, parabola, or ellipse and find the foci (c) 4x = y? %3D

A: identify the conic and use the equation to find the focus,

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

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Q: Find the standard form of the equation of the ellipse with the given characteristic Center: (9, 2);…

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Q: Identify the conic (parabola, ellipse, or hyperbola) that the polar equation r represents. %3D 8 +…

A: Given,           r=218+7sinθWe know that,          The polar equation of conic section is in the…

Q: Find the vertices and foci of the ellipse. Determine the lengths of the major and minor axes, the…

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

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Q: Use the information provided to write the general conic form equation of each ellipse. 2 36 81

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Q: Write the standard form of an equation of the ellipse subject to the following conditions. 21…

A: General equation of ellipse :  ( x - h)2 / a2  + ( y - k )2 / b2 = 1  center : ( h , k )  Length of…

Q: 2. +y².

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Q: 2. Identify the conic as a hyperbola, parabola, or ellipse and find the foci: (r - 3)2 (y+1)² (b) 4…

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Q: Write an equation for the given ellipse that satisfies the following conditions. Center at (1,4);…

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Q: Find the focus, equation of the directrices, lengths of major axis, minor axis and focal diameters,…

A: Please see the explanation below

Q: Find the center, foci, vertices, and eccentricity of the ellipse, and sketch its graph. (x + 2)2 +…

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Q: Write an equation for the given ellipse that satisfies the following conditions. Center at (4,5);…

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Q: Find a polar equation for the ellipse with the following characteristics. Focus: (0, 0)…

A: To find A polar equation for the ellipse with the following characteristics. Focus: (0, 0)…

Q: Identify the conic section as a parabola, ellipse, circle, or hyperbola, or if there is not enough…

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Q: find the equations of the ellipses satisj e center of each is at the origin.

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Q: Identify the conic section given by the following equation as a parabola, ellipse, circle, or…

A: Please check step 2 for the solution

Q: Find the standards forms of the equations of the ellipses with the given characteristics.

A: To find: The standard form of the linear equation from the given graph.  Given:  The first graph of…

Q: Find an equation for the conic that satisfies the given conditions.Parabola, focus(3,6) ,…

A: *to find:- equation of conic. *given:- focus, F(3,6) vertex, V(3,2)

Q: Find the center, foci, vertices, and eccentricity of the ellipse, and sketch its graph. 9x? + y? = 9…

A: 9x2+y2=9⇒9x2+y29=1⇒9x29+y29=1⇒x212+y232=1 Now comparing with x-h2b2+y-k2a2=1, we get h=0, k=0, a=3…

Q: Identify the conic as a circle or an ellipse then flmU x² = 1 49 49

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

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Q: Find the center, vertices, foci, and eccentricity of the ellipse. Then sketch the ellipse.…

A: Compare the equation with the standard form of ellipse (vertical) So, h=0, k=0, a=9, b=2

Q: 9. 49

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Q: Find the center, foci, vertices, and eccentricity of the ellipse…

A: 9x2+4y2+36x-24y-36=0⇒9x2+36x+4y2-24y=36⇒9x2+4x+4y2-6y=36⇒9x2+4x+4+4y2-6y+9=36+36+36⇒9x+22+4y-32=108⇒…

Q: Draw the ellipse 5(? − 1) 2 + 4(? − 1) 2 = 25, labeling all important information.

A: Consider the ellipse  5x−12+4y−12=25