A mirror for a reflecting telescope has the shape of a finite paraboloid of diameter 0.3 meters and depth 0.03 meters. How far from the center of the mirror will the incoming light collect?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 35E: The spherical storage tank described in Example 5 had a length of radius of 3ft. Because the tank...
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8. A mirror for a reflecting telescope has the shape of a finite paraboloid of diameter 0.3
meters and depth 0.03 meters. How far from the center of the mirror will the incoming
light collect?
9.
An outdoor fountain has a jet through which water flows. The water stream follows a
parabolic path as shown in figure below.
Ground
The highest point of the water stream is 2 m above the ground and the water hits the
ground 3 m from the jet. By assuming that the jet is at origin, write an equation that
models the path of the water fountain. Sketch a graph of the path of the water fountain
to support your answer.
CS Scanned with CamScanner
Transcribed Image Text:8. A mirror for a reflecting telescope has the shape of a finite paraboloid of diameter 0.3 meters and depth 0.03 meters. How far from the center of the mirror will the incoming light collect? 9. An outdoor fountain has a jet through which water flows. The water stream follows a parabolic path as shown in figure below. Ground The highest point of the water stream is 2 m above the ground and the water hits the ground 3 m from the jet. By assuming that the jet is at origin, write an equation that models the path of the water fountain. Sketch a graph of the path of the water fountain to support your answer. CS Scanned with CamScanner
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