Find the coordinates of the foci of an ellipse with center at (-1,2), one co-vertex at (2,2), and one vertex at (-1,8) (-1 ± v5, 2) (-1,2± v5) (-1,2± 3/3) (-1±3/3, 2)

Q: The solid whose base is the triangle with vertices (0, 0), (2, 0), and (0, 2), and whose cross…

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Q: Determine the greatest and least distance from the origin to a point on the ellipsoid 9x2+4y2+z2=36

A: Here is the solution of the given problem. Application of Lagranges Multiplayer.

Q: What is the example formula equation for 3d satellite (elliptic paraboloid)

A: To find: Formula equation for 3D satellite(elliptic paraboloid).

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Q: Find the equation of the hyperboloid of one sheet passing through the points (±2,0,0), (0, ±7,0) and…

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Q: Choose the type of the conic section. O hyperbola O parabola

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Q: image attached

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Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (−1, 0).

A: Given 4x^2 + y^2 = 4 y^2 = 4 – 4x^2 y = +- (4 – 4x^2)^1/2 Let distance between (x,y) and point…

Q: Find the orthogonal trajectories of family of hyperbola with center at the original and the length…

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Q: Find the orthogonal trajectories for the family of ellipses with centers at the origin and…

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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: 4. Determine the orthogonal trajectories of the hyperbola 3xy = 5 at point (2, 5/6). Sketch the…

A: To find the trajectories of the hyperbola write dydx by dxdy  and solve the system.

Q: 4 Find a parametrization for the line segment with endpoints (-1,3) and (3,-2).

A: 4) To find the parametric equation of line segment with endpoints (-1,3) & (3,-2)

Q: How are the conics described in terms of a fixed point and a fixed line?

A: We need to describe the definition of conics in terms of a fixed point and fixed line.

Q: 2. Find an equation of the sphere that passes through the point (2, 3, –1) and has center (-3, –1, –…

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

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Q: Find the points on the hyperbolic cylinder x2 - z2 -1 = 0 that are closest to the origin. please…

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Q: Find the orthogonal trajectories of the family of parabolas with vertices at the origin and foci on…

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Q: Find the center, vertices and foci of the ellipse x +4 y²-2x-16 y =-1 Select one: Center…

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Q: find the standard form of the equahon of the ellipse with the given characteristics verhical major…

A: let equation of ellipse isx2a2+y2b2=1

Q: Find the larger dimension of this rectangle. If a rectangle of maximum perimeter is to be inscibed…

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Q: Find the orthogonal trajectories of the family of ellipses with centers at (0, 0) and two vertices…

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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: What are conic sections?

A: Our Aim is to define conic sections.

Q: This problem can be solved by using the method of example 5 in section 6.1 of the textbook. Suppose…

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Q: Find the coordinates of the foci of an ellipse with center at (-1,2), one co-vertex at (2,2), and…

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Q: -axis. 5. Evaluate dV, where E is the solid tetrahedron with vertices at (0,0, 0), (2, 0, 0),…

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Q: Regarding the orbit of the planet Mercury, we know, according to the National Encyclopedia, that it…

A: Given information: The minimum distance to the sun is 0.31 AU and that the maximum distance is 0.47…

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

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Q: What is the image of the point (4, 0) after a rotation of 90 counterclockwise about the origin

A: Under rotation 90° counter clockwise about the origina point (x,y)→(-y,x)Hence (4,0)→(0,4)

Q: Maximize xyz on the ellipsoid

A: See the details solution in below

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 orthogonal trajectories of the family of parabolas through origin and foci on axis.

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Q: Find the Differential Equation of the Family of Ellipses with its center at the origin.

A: Here is the solution:

Q: The length of the major axis of the cllipse with center (-4, 1), minor axis parallel to the y-axis…

A: Equation of ellipse with center (-4,1) is given by

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: Find the points on the hyperbolic cylinder x2 - z2 -1 =0 that are closest to the origin. please…

A: The parametric equation of hyperbolic cylinderx2-z2-1=0 is , x=cos hθ                          y=y…

Q: What is the area of the ellipse with vertices (0,±7) and foci (0,±3)?

A: We know that the equation of ellipse has the standard form as given below: x2a2+y2b2=1 where a and b…

Q: (a) Where does the normal line to the ellipse x2- x   y + y 2 = 3 at the point (1, -1) intersect the…

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Q: Write the equation in standard form of the conic with the given characteristics: hyperbola: foci:…

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Q: Find an equation for the conic whose graph is shown: yA Directrix y = -12

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Q: Find the coordinates of the vertices of the ellipse with foci at (-6,-3) and (10,-3) and has minor…

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Q: Find the families of characteristics of the PDE (1-x²)w„ - u,, = 0 in the elliptic and hyperbolic…

A: Pde

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

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Q: 8. Write the equatlon of an ellipse with minor axis endpoints (co-vertices) at (0, 3) and (0, -3)…

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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: Find the orthogonal trajectories of family of hyperbola with center at the original and the length…

A: The solution are next step

Q: A long suspension bridge 180 meters from end,has towers 60 meters tall,where suspension cables are…

A: Given : from the data given above  the graph of the parabola is:

Q: Sana wants to recycle some elliptic cardboard into rectangular name plates. The minor and major axes…

A: Given problem is : Sana wants to recycle some elliptic cardboard into rectangular name plates. The…

Q: A suspension bridge with weight uniformily distributed along its length has twin towers that extend…

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