The parabolic communication antenna has a focus at 2 m distance from the vertex of the antenna. Find the width of the antenna 3 m from the vertex.

The parabolic communication antenna has a focus at 3m distance from the vertex of the antenna. Find the width of the antenna 8m from the vertex.

A man is moving away from a tower 41.6 m high at the rate of 2 m/sec. Find the rate at which the angle of elevation of the top of tower is changing, when he is at a distance of 30m from the foot of the tower. Assume that the eye level of the man is 1.6m from the ground.

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.

The focus of a parabolic mirror is at a distance of 8cm from its centre (vertex). If the mirror 25cm deep, find the diameter of the mirror.

An equation of the elliptical part of an optical lens system is (x^(2))/(25)+(y^(2))/(9)=1 . The parabolic part of the system has a focus in common with right focus of the ellipse. The vertex of the parabola is at the orgin and the prabola opens to the right. Find the equation of the parabola.

An equation of the elliptical part of an optical lens system is (x^(2))/(16)+(y^(2))/(9)=1 . The parabolic part of the system has a focus in common with the right focus of the ellipse. The vertex of the parabola is at the origin and the parabola opens to the right. determine the equation of the parabola