Name the conic that has the given properties and find its Cartesian equation. Eccentricity 1, vertex (0, 0), symmetric with respect to the x−axis, and passing through the point (−1, 2).

Q: Find an equation for the conic that sa tisfies the given conditions. parabola, focus (-4, 0),…

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Q: hyperbola, vertices (±3, 0), foci (±6, 0)

A: Equation of hyperbola :x2a2 - y2b2 =1 , when vertices is on the x-axis.

Q: Find an equation for the conic that satisfies the given conditions ellipse, foci (0, +9), vertices…

A: Solve the following

Q: Identify the conic section as a parabola, circle, ellipse, or hyperbola: The set of all points…

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Q: Identify the conic section that equation 16x^2-96x+288=9y^2 represents and find either: a) it’s foci…

A: We use completing square method to convert it into standard form

Q: identify the conic of the equation 4x² + 9y² − 16x + 18y = 11, specifying the center and radius if…

A: The standard equation of a conic section is defined by the equation, Ax2+Bxy+Cy2+Dx+Ey+F=0 .

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: Identify the conic given by *-8)² _ (v-9)* 64 O hyperbola circle ellipse O parabola

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Q: Solve for the equation in standard form of the following conic sections and graph the curve on a…

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Q: Rotate the coordinate axes to remove the xy-term. Then name the conic section and sketch its graph.…

A: Given: x2+4xy-2y2-6=0 To Find: Rotate the coordinate axes to remove the xy-term.Then name the conic…

Q: The conic with eccentricity e = 1/2 is a a) circle c) ellipse b) parabola d) hyperbola

A: step:-1 Eccentricity (e) :- The eccentricity e of a conic section is defined to be the ratio of the…

Q: Find an equation for the conic section with the given properties. The ellipse with center C(3, -1),…

A: here distance between center to the vertex is a=10 and the distance between center to focus is c=6

Q: Given the following conic section, determine its shape and then sketch its graph. 52? + 4y? + 3х +…

A: Since the coefficient of x2 and y2 are different and they both have positive signs, so it is an…

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: Write a polar equation of a conic with the focus at the origin and the given data. hyperbola,…

A: Given that: The eccentricity (e) = 6 Directrix (r) = -5 csc(theta) r=-5cscθr=-5sinθrsinθ=-5…

Q: Determine the type of conic section, give its equation, and clearly graph with coordinates: 9x2 +…

A: According to the given information it is required to determine the type of conic section and graph…

Q: Which conic section is represented by the equation 9x2 + 4y = 36- O Circle O Hyperbola O Ellipse…

A: Given equation is 9x2+4y2=36............(1)

Q: 3. Write the equation of the following conic section in standard form and sketch the graph. Make…

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Q: Write a polar equation of a conic with the focus at the origin and the given data. hyperbola,…

A: Given: Focus (0, 0) Eccentricity = e =2.5 Directrix = d = 2 The formula for polar equation of any…

Q: Identify what type of conic section is given by the equation below and then find thecenter, foci,…

A: We need to rewrite the equation in the form (x-h)^2/a^2-(y-k)^2/b^2=1 by using completing the…

Q: Find the standard form of the equation of the conic section satisfying the given conditions,…

A: According to the question, we have to find the standard form of the equation of parabola whose focus…

Q: 2. Which conic section is represented by the equation y? – 2x² – 16 = 0? Нурerbola Ellipse Parabola…

A: To write that which conic section is represented by  y²-2x²-16=0

Q: Identify the conic section defined by the following equation. Sketch its graph. Label its vertices,…

A: Given 16x2-9y2+96x+54y-81=0

Q: Given the following conic section, determine its shape and then sketch its graph. x² – 2ry + y² + x…

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Q: Find a polar equation for the conic section with one focus at the​ origin, along with the given…

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Q: 2. Which conic section is represented by x2 + 6y-7 0? Circle Hyperbola Ellipse Parabola

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Q: Find an equation for the conic that satisfies the given conditions. Hyperbola, foci (0, 2), vertices…

A: Given;  Foci (0,2) (0,-2) Vertices (0,1) (0,-1).

Q: Find an equation for the conic that satisfies the given conditions. parabola, vertical axis, passing…

A: A parabola with vertices passing through 0,5,1,4, and -2,-5. Find the equation for the conic that…

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

A: Given 5x2+4y2=1 This equation becomes  x215+y214=1x2152+y2122=1 Comparing with the equation,…

Q: Sketch the graph of the conics -3x2+5y2+12x+40y+53=0 and show the length of a,b,c in the graph a)…

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Q: Find an equation for the conic that satisfies the given conditions. parabola, vertex (1, 2),…

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Q: Find a polar equation for the conic Ellipse with its focus at the pole and the eccentricity e = 3/4…

A: Focus of the ellipse is at the pole. Eccentricity is e=34. Directrix is y=-2. Comparing the…

Q: Write a polar equation of a conic with the focus at the origin and the given data. ellipse,…

A: An ellipse, eccentricity is 0.5 and vertex is at 1,π2.

Q: Find an equation for the conic that satisfies the given conditions. Ellipse, foci (±3, 0), vertices…

A: Solved below

Q: Determine what type of conic section corresponds to the given equation. (3x + y)² – 2y = x Ellipse.…

A: We have to check the given equation.

Q: Find the equation in xy coordinates for the conic section that satisfies the following conditions:…

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

A: Please see the explanation below

Q: parabola, directrix x- -7

A: r=ed1-ecosθd is the directrix

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

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Q: Identify what type of conic section is given by the equation below and then find the center, foci,…

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

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Q: Identify what type of conic section is given by the equation below and then find the center, foci,…

A: the given equation of the curve is: 4x2-24x-4y+28=y2 we have to identify what type of conic section…

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

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Q: Write a polar equation of a conic with the focus at the origin and the given data. ellipse,…

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Q: Convert to standard form, determine the type of conic, then graph the equation, Equation, Center,…

A: To fins the graph the equation, Equation, Center, Foci, Vertices, Asymptotes

Q: Identify the conic section as a parabola, ellipse, circle, or hyperbola: The set of all points…

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