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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

DISCUSS: Light Cone from a Flashlight A flashlight is held to form a lighted area on the ground, as shown in the figure. Is it possible to angle the flashlight in such a way that the boundary of the lighted area is a parabola? Explain your answer.

Chapter 12.1, Problem 66E, DISCUSS: Light Cone from a Flashlight A flashlight is held to form a lighted area on the ground, as

To determine

To discuss:

Whether it is possible to set the flashlight in such a way that the boundary of lighted area form a parabola on the ground.

Explanation

Parabolas are the set of points in one plane that forms a U shaped curve. The curve could be opening upward, opening downward, opening left or opening right.

A parabola bounded by lighted area of a flashlight can be formed at all the angles except 90° or vertically straight to the ground. There will always be a parabola forming on the ground whenever the flashlight is tilted towards the ground

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Chapter 12 Solutions

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