Match conic section with one of these equations: *+ y = 1, x y? r? = 1, Then find the conic section's foci and vertices. If the conic section is a hyperbola, find its asymptotes as well.

Q: Find a polar equation for the conic Parabola with its focus at the pole and the vertex (2, π/2)

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

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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 type of conic section whose equation is given. 4x2 = y2 + 4 hyperbola ellipse parabola…

A: 1)4x2=y2+42)x2-2x+2y2-24y+71=0

Q: Match conic section with one of these equations: x2/4 + y2/9 = 1, x2/2 + y2 = 1, y2/4 - x2 = 1, x2/4…

A: Given a figure and four equations as follows ;  x24 + y29 = 1        [Equation 1]x22 + y2 = 1…

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: Solve for the standard equation of the given characteristics of each conic then graph. Show complete…

A: The standard form of the parabola is: (y-k)2=4a(x-h) Where, Focus is at (a+h, k) Axis is at y = k…

Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (−1, −6),…

A: Given: Vertices: -1,-6, -1,8 foci: -1,-7, -1,9   The equation for hyperbola using foci is: |PF1| -…

Q: Amie claims that the equation 4(x+3)' +y² =1 represents a circle with the center at (-3,0) and the…

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Q: 2. Put the equation in standard form to determine the conic form, then sketch a graph indicating the…

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Q: Identify the conic, analyze the equation (center, radius, vertices, foci, eccentricity, directrix,…

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Q: A football is kicked from the ground 70 yards along a parabolic path. The maximum height of the ball…

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Q: Find an equation for the conic section with the given properties. The parabola with vertex V(-3, 5)…

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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: Match conic section with one of these equations: 1. -1. x? y? Then find the conic section's foci and…

A: The standard equations of the hyperbola are x2a2-y2b2=1 and y2a2-x2b2=1. The transverse axis is the…

Q: 2. x + 6x = y² + 16y

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

A: follow the procedure given below.

Q: Identify the conic, analyze the equation (center, radius, vertices, foci, eccentricity, directrix,…

A: Consider the given second-degree equation: x2+10x-12y+13=0 Here, the objective is to identify the…

Q: Determine the equation (both standard and general) of the following conic sections based on the…

A: To find the equation of the conic sections with the given conditions

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

A: Given: Foci F0,±5, conjugate axis of length 4 For given data transverse axis is on y-axis and…

Q: Identify the conic section given the general form of its equation: 26x2-5y2-61x +361y-1072=0 a.…

A: 26x2-5y2-61x+361y-1072 = 0 is the given equation.

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

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Q: Given the equation x2 find the foci, vertices, directrix, axis, and asymptotes, where applicable. -…

A: Ellipse details

Q: Find an equation for the conic that satisfies the given conditions. ellipse, foci (0, –1), (8, –1),…

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Q: Find an equation for the conic section with the given properties. The hyperbola with foci F1(3, -5)…

A: We have to find the equation of the conic section.

Q: Find all the characteristics(centre,vertices,foci, equation of directories,equation of asymptotes)…

A: solve for x

Q: Identify the type of conic section whose equation is given. 5x2 = y2 + 5 parabola ellipse hyperbola…

A: Given equation is5x2 = y2 + 5To find vertices & hyperbola

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

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Q: Name the conic that has the given properties and find its Cartesian equation. Eccentricity 1,…

A: A conic section is obtained by slicing the cones at different angles. There are three types of…

Q: The foci of the hyperbola are (SQRT12, 0) and (-SQRT12,0), and the asymptotes are y=SQRT11 x and…

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

A: The focii of the  hyperbola are (0, -10), (0, 10). The vertices of the  hyperbola are (0, -7), (0,…

Q: Name the conic that has the given properties and find its Cartesian equation. Vertices (±2, 0) and…

A: The standard form of the hyperbola with center at origin is .  Here, are the vertices and…

Q: Make a sketch showing the general shape of the graph of the equation. Then find the conic​ section's…

A: The given equation is y29-x225=1

Q: 1. 2x2 + 3y² – 4x + 12y =0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Identify the conic, analyze the equation (center, radius, vertices, foci, eccentricity, directrix,…

A: 3x2-2y2+24x+12y+24=0 On simplification, we get…

Q: Determine the equation (both standard and general) of the following conic sections based on the…

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Q: Identify the conic, analyze the equation (center, radius, vertices, foci, eccentricity, directrix,…

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Q: (a) What does the equation x² – 4x – y + 8 = 0 represent in conic section? Sketch the conic section…

A: Given equation is: x^2 - 4x - y + 8 = 0 x^2 - 4x + 4 = y - 8 + 4 (x - 2)^2 = y - 4 (x - 2)^2 = 4 .…

Q: Identify the type of conic section whose equation is given. 2x2 = y2 + 2 O hyperbola parabola…

A: Given: The equation 2x2=y2+2, To determine: The type of conics.

Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci. Show…

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Q: 3. Find the standard equation for the hyperbola that has foci (0,±5) and vertices (0,±3).

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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: 1. Identify the type of conic section whose equation is given, then find the vertices and foci.…

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Q: 3. x2 – 8x + y² + 6y = 0

A: To identify the conic section from the given equation.

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

A: Given Hyperbola; Foci: (-4, 5), (2, 5); Vertices: (-3, 5), (1, 5)

Q: The hyperbola centered at the origin with vertices (0, 9) and (0, -9) and a conjugate axis 16 units…

A: Vertices = (0 , ±a) length of conjugate axis = 2b equation of hyperbola = y2a2-x2b2=1

Q: Name the conic that has the given properties and find its Cartesian equation. Vertices (±4, 0) and…

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