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 +-1 :1 O (2-2)2 (v+v2) + = 1 12 O (2-2)2 + =1 12

Q: The part of the hyperboloid 4x 2 - 4y2 - z2 =4 that lies in front of the yz-plane

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Q: 15. x2 – 8x + 2y + 10 = 0 Equation:

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Q: Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the conic.xy = 3

A: We need to rotate the axes by θ = π / 4 Hence,  x' = x cos(θ) + y sin(θ) = (x + y)/√2 y' = - x…

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: 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: 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: 4x2+y2-16y+8y+16=0 Identify the conic section by rewriting it in standard graphing form.

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Q: Write an orthogonal change of coordinates converting the equation of the conic 3x2+3y +3z+2ry+2rz…

A: Given equation , 3x² + 3y² + 3z² + 2xy + 2xz+2yz = 1

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: Find the slope of the line tangent to the conic section 25 (x+3), (y+2)² = 1 at (3,8). 36

A: We find the slope of tangent to the given conic with the help of calculus .

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

A: The equation of the conic is x2 + 10x -3y = -13.

Q: . Locate the center of the conic 16x^2 + 25y^2– 160x – 200y + 400 = 0

A: A detailed solution is given below.

Q: Here is the equation of a conic section such that the ordered pair (Vx, Vy) corresponds to its…

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

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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: Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the conic.xy + 1 = 0

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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: 5. Describe the conic section C whose equation is

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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: 8. Find the equation of the conic whose focus is (4, -5) and directrix is x = -2.

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Q: Identify the type of conic from the discriminant.* x²+2xy +y² + /2x-/2y-2=0, 6=45° ANSWER: BIlank 1…

A: Given problem Given that   General equation of the conic : Ax2+Bxy+Cy2+Dx+Ey+F =0 Discriminant is…

Q: The conic section whose equation is 3x 2 - y 2 - 27 = 0 has a latus rectum equal to 9 18 6

A: Given:  Conic section : 3x2-y2-27=0  To find latus rectum

Q: What is the relation of conic section to the wall clock?

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

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Q: What kind of conic section (or pair of straight lines) is given by the quadratic form Q(x1, x2) = x…

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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: 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: 3 -6 -4 사업 4 2 -2 19 6 ly 2 4 6 8

A: Given,

Q: Sketch the three basic conic sections in standard position with vertices and foci on the x-axis.

A: Sketch the three basic conic sections in standard position with vertices and foci on the x-axis.

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 an equation in rectangular coordinates of the conic r = 16/5 + 3 cos θ

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Q: Find the slope of the line tangent to the conic section 25 (х-2)2 (y-6)2 = 1 at (2,10). 16

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Q: Show that the line b2xx1 - a2yy1 - a2b2 = 0 is tangent to the hyperbola b2x2 - a2y2 - a2b2 = 0 at…

A: Find dy/dx.Then find dy/dx at the point (x1,y1) by plugging x=x1 and y=y1

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

A: Given, 2y2 + 4x + 8y = 0

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: Identify and sketch the conic defined by x2 - 2xy+ y² – x – y=0.

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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: IV. Name the conic section, based on the equation. x²+y +333x+444y+777 =0 3x + 2y? +12x- 4y+2=0…

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Q: (b) Show that the equation r² – 4x + 4y2 – 12 = 0 represents a conic section. Sketch the conic…

A: To show: The equation x2 – 4x + 4y2 – 12 = 0 represents a conic section.Proof:

Q: Determine the type of conics for each equation using the discriminant. 20. 5x2 + 2x + 3y - 5 = 0 21.…

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Q: 4 Identify the center of the conic section whose equation is x 2 +y 2 + 6x - 4y - 12 = 0. (-6, 4)…

A: The given equation is; x2+y2+6x-4y-12=0   As we know that; The general form of equation of the…

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: Locate the center of the conic 49y^2– 4x^2 + 48x – 98y – 291 = 0

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Q: Find an equation of the conic section that satisfies the given condition- Find an equation of the…

A: Explanation of the answer is as follows