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Find an equation for the parabola

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Reference no: EM13901652

1) A building has an entry with the shape of a parabolic arch 66 feet high and 46 feet wide at the base. Find an equation for the parabola if the vertex is placed at the origin of the coordinate system.

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2) A comet follows the hyperbolic path described by x2/5 - y2/22 = 1, where x and y are in millions of miles. If the sun is the focus of the path, how close to the sun is the vertex of the path?

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3) A picture frame has a perimeter of 106 cm and a diagonal √1549 cm. What are the dimensions?

4) Find the vertices of the ellipse: 3x2 + 5y2 - 42x + 40y + 212 = 0

5) A cross-section of an irrigation canal is a parabola. If the surface of the water is 17 feet wide and the canal is 2 feet deep at the center, how deep is it 1 feet from the edge?

Reference no: EM13901652

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Find an equation for the parabola : A building has an entry with the shape of a parabolic arch 66 feet high and 46 feet wide at the base. Find an equation for the parabola if the vertex is placed at the origin of the coordinate system
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