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Q: Find the equation to the ellipse whose centre is at the origin and the axes are the axes of…

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Q: write the equation of the ellipse 9x2+36y2+90x+216y+225= 0 in standard form, please show all written…

A: Standard equation of ellipse is x-x02a2+y-y02b2=1    when major axis on the horizontal axis

Q: What is the center of an ellipse 64x2 + 25y2 = 1600? a.2,3                                     b.…

A: Use the standard equation of ellipse  for finding the center.

Q: Locate the vertex, focus, directrix and axis of symmetry of the parabola y^2-5x+12y=-16.

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Q: The ellipse b2x2+a2y2=a2b2 is inscribed in a rectangle.find the length of diagonal of rectangle .…

A: The given equation of ellipse:     b2x2+a2y2=a2b2 Dividing the whole equation by a2b2, we get:…

Q: Write the standard equation of an ellipse whose general equation is x² + 4y² + 6x - 16y + 17 = 0.…

A: Standard form of an ellipse with vertex at (h,k) is given by, (x-h)²/a² + (y-k)²/b²= 1

Q: Write an equation of the ellipse in standard form ((x-h)/a)^2 + ((y-k)/b)^2 =1

A: Standard form of ellipse isx-h2a2+y-k2b2=1

Q: Give the coordinates of the center, vertices, covertices, foci, orientation, lengths of major and…

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Q: to 7- 2- -9 -8 - -6 -5 -4 -3 -2 -1 -2 -4- -5- -6- -8 Write an equation for the ellipse graphed in…

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Q: Write the following equation x2 +9y2 + 10x-18y+25= 0 in vertex form. Identify the type of conic…

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Q: Find the equation of the ellipse x2 + 9y2 - 4x - 72y + 139 = 0 and locate the coordinates of the…

A: Given the equation of the ellipse, x2+9y2-4x-72y+139=0

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.