5. Using an Elliptic Paraboloid as a Reflector. Instead of being used as a receiver like a satellite dish, a flashlight uses an elliptic paraboloid as a reflector. The flashlight's bulb is placed at the focus of a parabolic reflector. A certain flashlight has a reflector that is 8 centimeters wide at the head of the flashlight. The flashlight's bulb is located at the focus of the parabola, 1.5 centimeters from the vertex of the reflector as shown in the figure below. Find an equation for a cross section of the reflector of the form x = 4py where x and y are measured in centimeters. Determine a segment of the parabola that can be revolved about the y-axis to form the reflector. Find the surface area of the reflector formed by the surface of revolution.

5. Using an Elliptic Paraboloid as a Reflector. Instead of being used as a receiver like a satellite dish, a flashlight uses an elliptic paraboloid as a reflector. The flashlight's bulb is placed at the focus of a parabolic reflector. A certain flashlight has a reflector that is 8 centimeters wide at the head of the flashlight. The flashlight's bulb is located at the focus of the parabola, 1.5 centimeters from the vertex of the reflector as shown in the figure below. Find an equation for a cross section of the reflector of the form x = 4py where x and y are measured in centimeters. Determine a segment of the parabola that can be revolved about the y-axis to form the reflector. Find the surface area of the reflector formed by the surface of revolution.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 1DE

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