A search light has a parabolic reflector (has a cross section that forms a 'bowl'). The parabolic bowl is 40 cm wide from rim to rim and 30cm deep. The bulb is located at the focus.
(1) what is the equation of the parabola used for reflector?
(2) How far from the vertex is the bulb to be placed so that the maximum distance covered?

The equation y=(1)/(32)x^(2) models cross sections of parabolic mirrors that are used for solar energy. There is a heating tube located at the focus of each parabola, how high is this tube located above the vertex of the parabola ?

The parabolic mirrors that are used for solar energy has the equation y=(1)/(36)x^(2) . There is a heating tube located at the focus of each parabola. How high is this tube located above the vertex of the parabola.

An engineer designs a satellite dish with a parabolic cross section . The dish is 5m wide at the opening, and the focus is placed 1.2 m from the vertex. (a) Position a coordinate system with the origin at the vertex and the x-axis on the parabola 's axis of symmetry and find an equation of the parabola. (b) find the depth of the satellite dish at the vertex.

A convex lens, of focal length 20 cm, has a point object placed on its principal axis at distance of 40 cm from it. A plane mirror is placed 30 cm behind the convex lens. Locate the position of image formed by this combination

A converging mirror M_1 a point source S and a diverging mirror M_2 are arranged as shown in figure. The source is placed at a distance of 30 cm from M_1 . The focal length of each of the mirrors is 20 cm. Consider only the images formed by a maximum of two reflections. It is found that one image is formed on the source itself. (a) Find the distance between the two mirrors. (b) Find the location of the image formed by the single reflection from M_2