Find the equation of the conic of major axis on the x-axis, the center at (0,0) passing through (2, -V2 and latus rectum of V3 (x- 2)2 (y+ v2)? = 1 12 3 12 = 1 3 (x- 2)2 (y+ v2) = 1 3 12 = 1 12

Q: Find parametric equations and a parameter interval for the motion of a particle in the xy-plane that…

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Q: etermine which conic is the one whose general equation has only one term raised to the square, that…

A: Given:

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

A: Rearrange the terms to get the standard form

Q: What is the relation of the conic section to the vase?

A: Let's find.

Q: Write the equation in standard form of the conic with the given characteristics: Hyperbola: vertices…

A: Write the equation in standard form of the conic with the given characteristics: Hyperbola: vertices…

Q: 9. Find equation (in an Rectangular) for the conic that satisfies the given conditions: Parabola…

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Q: Match the description of the conic with its standard equation. Hyperbola with vertical transverse…

A: We have to identify the standard equation of a hyperbola with vertical transverse axis. Let h,k be…

Q: Find the required information and graph: , (x+3)² + (y – 1)² = 9 ssify the conic section: Center:…

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Q: Determine the parametric equations of the curve of of the ellipsoid 4x² + y2 + 4z2 = 4 and the…

A: Solution: Given equation:ellipsoid: 4x2+y2+4z2=4; and half−cone: y2=x2+2z2 To find: parametric…

Q: FRIRMO

A: Let's find.

Q: write the standard form equation for the conic with center at (-8,14), vertices at (-1,14) and…

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Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

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Q: Q.8: ] find the parametrization of the upper half of the conic section 4x² +9y²-24x = 0; with x= -2

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Q: . Determine the parametric equations of the curve of intersection of the ellipsoid 4x² + y² + 4z² =…

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Q: Explain what is the relation to the conic section of the given object.

A: A conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone…

Q: find the equation of the tangent line through the point (2,-2) to the hyperbola x2-y2=16.

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Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

A:

Q: Determine the parametric equations of the curve of intersection of the ellipsoid 4x² + y² + 4z² = 4…

A: SOLUTION:

Q: 5. Describe the conic section C whose equation is

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Q: Show that the cylindrical equation ,2(1 – 2 sin² 0) + z² = 1 is a hyperboloid of one sheet.

A: Given a cylindrical equation r21-2sin2θ+z2=1 To show that this equation is a hyperboloid of one…

Q: Determine the type of conic: 16. 2x2-4xy + 8y2 +7 = 0 17. 2xy-x + y-3 = 0 %3D %3D

A: The general equation of conics is given as Ax2+Bxy+Cy2+Dx+Ey+F=0, where A,B,C,D,E and F are real…

Q: 2. What is the equation of a horizontal hyperbola with (x-4)² 81 (y + 3)² 81 (x-4)² 25 (x-3)² 25 (y…

A: Given problem:- What is the equation of a horizontal hyperbola with a center at (4,-3), a transverse…

Q: Standardize the conic with the equation 7x2+4xy+4y2--2x-6y+1=0

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Q: Determine the length of the latus rectum of the following conic section: 16z + 9y? - 64.x- 54y+1 0 O…

A: 16x2+9y2-64x-54y+1=016x2-64x+9y2-54y=-116(x2-4x)+9(y2-6y)=-116(x2-4x+4)+9(y2-6y+9)=-1+64+8116(x-2)2+…

Q: Find parametric equations of the line through the point (5, 0,−2) that is parallel to the planes x…

A: Any point in three dimensional coordinate system will be of the form x1,y1,z1 . We can calculate the…

Q: How do I find the focal points of this conic?  27x2+16y2+324x-96y+684=0

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Q: Explain what is the relation to the conic section

A: A conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone…

Q: Standardize the conic whose equation is 7x2 + 4xy + 4y2 - 2x - 6y + 1 = 0.

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Q: Identify the conic section and graph. (x+7)^2/5^2+(y+3)^2/3^2=1

A: On simplification, we get Now it is in the form of . Therefore it represents an ellipse.

Q: Show that the “conic section” with equation x2 − 4x + y2 + 5 = 0has no points.

A: Equations for conic sections are obtained as the locus of points following one or a set of…

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

A: First, we write x and y terms together, so it becomes, x2 - 4x + y2 - 4y = -4 By using completing…

Q: What is the equation of family of central conics with common foci and axis. Determine its orthogonal…

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Q: 9. How can you determine the type of conic section represented by an equation in general form?

A: How can you determine the type of conic section represented by an equation in general form ?

Q: determine the equation  of the conic of foci (1,-2) and (5,-2), and eccentricity e=2/3

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Q: Find the equation of the ellipsoid passing through the points (+8, 0, 0), (0,±7,0) and (0,0, ±3) = 1

A: The standard equation of an ellipsoid is x2a2+ y2b2 + z2c2=1where a, b , c are the length of its…

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: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

A:

Q: 2. Identify the conic section given by y² + 2y = 4x² + 3 Find its vertex/vertices and focus/foci.

A: We rewrite the equation as: This is an equation of a hyperbola.

Q: There is one point of intersection in the graphs of the conic (z + 1)² + (y + 2)² = 16 (y+ 2)° = 4…

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Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

A:

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

A:

Q: Find the equation of the conic of major axis on the x-axis, the center at (0,0) passing through (2,…

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Q: What are conic sections. Explain it.

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Q: 3. Find the family of orthogonal trajectories of the family of ellipses centered at the origin and…

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Q: 1. Determine the orthogonal trajectories of the hyperbola 3xy = 5 at point (2,5/6). Sketch es. %3D

A: Topic = Geometry

Q: 10. 25x2 - 9y2 = 144           11. x2 + y2 = 225           12. x2 + 3y2 = 3

A:

Q: Determine the center of the conic of equation: 16x² + 128r + 49y² + 588y = -1236. A) (4,6) В) (-4,…

A: Brief explanation of the answer is below.

Q: What is an equation of a conic with the property that the distance of its points  from point (2,0)…

A: Givenpoint(2,0)line 2x-1=0

Q: Identify the center of the conic section whose equation is 4x 2 - 25y 2 - 8x - 100y - 196 = 0. (-1,…

A: We can identify the center as below.

Q: Write the standard form of the equation of the conic section with the given characteristics. 16.…

A: NOTE: Refresh your page if you can't see any equations. . the standard equation of the left-right…