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+ 3/3, 2) (-1,2 ± 33) (-1,2 ± v5) (-1± v5, 2)

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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…

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

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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…

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Q: Find the center, vertices and foci of the ellipse x² +4 y² -8 x-8 y= 44 Select one: O Center = (…

A: Equation of the given ellipse is x2+4y2-8x-8y=44. Rewrite the above equation in standard form…

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…

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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: 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.

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Q: Find an equation of the sphere that passes through the point (1, 8, 5) and has center (3, 1, −3).

A: We have to find equation of sphere.

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Q: Find the coordinates of the foci of the ellipse with vertices at (11,3) and (-15,3) and has minor…

A: To find the coordinates of the foci of the ellipse with vertices at 11, 3 and -15, 3 and has minor…

Q: By integration, show that : 8. The area of an ellipse with semi axes a and b is A = nab.

A: Integration of function expression with respect to x or y gives the area under function curve and…

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Q: y -6- 4- 3- 2- 1- -3 2 -1 0 12 3 4 5 6 -1- -2- R -3- your work on question 10, classify this…

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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+…

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Q: If P1 and P2 are two points on the conic whose angles θ1 and θ2 differ by 180° , show that the…

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

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A: Given equation 2x2+72y2=72which can be writtenx236+y21=1

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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 equation of the hyperboloid of one sheet passing through the points (+8, 0, 0), (0, +6, 0)…

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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: Find the equation of the ellipsoid passing through the points (±3,0,0), (0, ±4, 0) and (0,0,±7) = 1

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

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Q: 2. Graph an ellipse with center at (1,2), vertices at (6,2)and (-4, 2), co-vertices at (1, 6)and (1,…

A: Given:        Center at 1,2        Vertices at 6,2 and -4,2         co-vertices at 1,6 and 1,-2…

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Q: What is the standard form of the ellipse with center at (0,0),vertex at (0,9) and co vertex (4,0)

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Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (-1, -3),…

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

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