Find the equation in xy coordinates for the conic section that satisfies the 4 following conditions: ellipse with e ==, centre (-3, 2) and vertex (2,2).

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

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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: Determine the equation of a conic section...(Hyperbola) Given: center (-9, 1) distance between F1…

A: Given: center (-9, 1) distance between F1 and F2 = 20 units distance between CV1 and CV2 = 4 units…

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: What.conic section is described by the follawing equation 4z +y |8z | 4y=15 K ASperbola D Ellipse…

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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: 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: 9 Select the conic section represented by the equation. 4y - 3 = 0 parabola line ellipse…

A: We will find the conic section which is represented by the equation.

Q: Identify the type of conic, assuming a > 0: r = 1+ V7sine Ellipse. O Parabola. O Hyperbola.

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Q: Identify the conic section. y = 1-x 13 4 Hyperbola Ellipse o Circle o Parabola

A: We have to check

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: Find an equation for the conic whose graph is shown. y 10 5 K11, 0) 10 15

A: Given,

Q: 3. Find the equation in xy coordinates for the conic section that satisfies the following…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

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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: Identify the conic section given by the following equation. x² + y² = 78x – 84y – 3116 - Select the…

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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 represented by the equation x2 + 16y2 - 160y + 384=0 without completing the…

A: we know that equation ax2+by2+2gx+2fy+2hxy+c=0 will represent  ellipse, if h2<ab,…

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 x2 + 6y-7 0? Circle Hyperbola Ellipse Parabola

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Q: find the vertices and foci of the conic section.  x 2/4 − y 2/9 = 36

A: To find the vertices and foci of the conic section. Given the equation, x24 − y29 = 36x2144 − y2324…

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 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: 17 Select the conic section represented by the equation. 4x 2 -y 2 + 24x + 4y + 28 = 0. circle…

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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: 2. Which conic section is represented by the équation 2x2 + 4x- y +9 = 0? O Hyperbola Ellipse O…

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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: Identify the conic give the center or vertex. 3x2 + y2 – 18x + 2y + 29 = 0 O ellipse center (,) 3 8…

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Q: A general equation of conic section is given as y + 4x + 4(x – 2y) + k =0. Determine the value/s of…

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

A: An equation of the ellipse is of the form, x2a2+y2b2=1 Equation of the ellipse through the point…

Q: Identify the type of conic section whose equation is given. 3x2 = y + 3

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Q: Identify the conic sections below by completing the square on z and y to place them in standard…

A: The given equation is a) 4x2+3y2+8x-24y+40=0

Q: Find an equation for the conic whose graph is shown. y F (6, 0)

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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: What is the general equation of the conic section passing through the points  A(0,1), B(2,3),…

A: Given points A(0,1), B(2,3), C(5,4), D(1, −2), E(4, −1)   General equation:  ax2 + bxy + cy2 +…

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

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Q: Identify the type of conic section whose equation is given and find the vertices and foci. y? – 2 =…

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Q: is an ellipse, label the center as well. 40 r= 8-2 cos 0

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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: Find an equation for the conic that satisfies the given conditions. hyperbola, foci (2, 0), (2, 12),…

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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: Select the conic section represented by the equation. 2x + 5y - 7 = 0 circle ellipse point line…

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Q: For the equation 9x + 4y - 54x-8y-59 = 0, classify the conic section, put the equation in standard…

A: Explanation: Given that,  9x2+4y2-54x-8y-59=0   Here we use the completing the square method in term…

Q: Identify the conic represented by equation x2 + 6xy + 9y2 - 2y = 0 without using a rotation of axes.

A: Identify the conic represented by equation x2 + 6xy + 9y2 - 2y = 0 A standard form of conic is given…

Q: Select the conic section represented by the equation. x 2 +y 2 + 6x - 4y - 12 = 0. circle point…

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.