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Math · Advanced Math
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Definition: A parabola is the collection of all points Pin the plane that are the same distance d from a fixed point Fas Axis of they are from a fixed line D. The point Fis called the focus of the parabola, and the line D is its directrix. The line through F and perpendicular to Dis called the axis of symmetry of the parabola. The point of intersection of the parabola with this axis is called the vertex V. A mirror is shaped like a paraboloid of revolution and will be used to concentrate the rays of sun at its focus, creating a heat source. (See the Suns 26 figure). If the mirror is 26 feet across at its opening rays and is 8 feet deep, where will the heat source be concentrated? (a) Draw the parabola used to form the mirror on rectangular coordinate system so that a y-axis. vertex of the parabola is at the origin and its focus is on the positive Hint: (b) Decide, which one of the following forms of the equation of the parabola will you using?
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