A plane curve in mathematics that is approximately u-shaped

In mathematicsa parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point the focus and a line the directrix.

Today's crossword puzzle clue is a general knowledge one: A plane curve in mathematics that is approximately U-shaped. We will try to find the right answer to this particular crossword clue. Here are the possible solutions for "A plane curve in mathematics that is approximately U-shaped" clue. It was last seen in British general knowledge crossword. We have 1 possible answer in our database. Share Tweet.

A plane curve in mathematics that is approximately u-shaped

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From the section above one obtains:.

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In mathematics , a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point the focus and a line the directrix. The focus does not lie on the directrix. The parabola is the locus of points in that plane that are equidistant from the directrix and the focus. Another description of a parabola is as a conic section , created from the intersection of a right circular conical surface and a plane parallel to another plane that is tangential to the conical surface.

A plane curve in mathematics that is approximately u-shaped

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. The locus of points in the plane that are equally spaced apart from the directrix and the focus is known as the parabola. Even when Parabola is a mathematical concept, it is highly found in its surroundings. Numerous variations of a parabola can be found in real life. While a parabola simply seems like a U-shaped curve, it can be tricky to explain it purely by theory or geometry. In such situations, teachers and parents can use real-life examples to give a touch of practical learning.

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Suppose a chord crosses a parabola perpendicular to its axis of symmetry. This last equation shows the relationship between these variables. The perpendicular distance p can be given a positive or negative sign to indicate on which side of the axis of symmetry X is situated. Array of parabolic troughs to collect solar energy. In nature, approximations of parabolas and paraboloids are found in many diverse situations. Sponsored Links. Today, paraboloid reflectors can be commonly observed throughout much of the world in microwave and satellite-dish receiving and transmitting antennas. The radius of curvature at the origin, which is the vertex of the parabola, is twice the focal length. From the section above one obtains:. The point F is the foot of the perpendicular from the point V to the plane of the parabola. The principle was applied to telescopes in the 17th century. The name "parabola" is due to Apollonius , who discovered many properties of conic sections. Consider a point x , y on a circle of radius R and with center at the point 0, R. The parabolic curve is therefore the locus of points where the equation is satisfied, which makes it a Cartesian graph of the quadratic function in the equation.

Online Math Solver. In geometry, a parabola is a two-dimensional, mirror symmetrical curve which is approximately U-shaped. It fits any of several superficially different mathematical descriptions which can all be proved to define curves of exactly the same shape.

Undoubtedly, there may be other solutions for A plane curve in mathematics that is approximately U-shaped. That, along with spin and air resistance , causes the curve swept out to deviate slightly from the expected perfect parabola. Suppose a chord crosses a parabola perpendicular to its axis of symmetry. Any parabola can be repositioned and rescaled to fit exactly on any other parabola—that is, all parabolas are geometrically similar. Suppose a system of Cartesian coordinates is used such that the vertex of the parabola is at the origin, and the axis of symmetry is the y axis. The ball becomes significantly non-spherical after each bounce, especially after the first. They both define curves of exactly the same shape. The lengths of BM and CM are:. We have 1 possible answer in our database. Often, as here, they are drawn parallel with the parabola's axis of symmetry, but this is arbitrary.