Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Question
Chapter 10.5, Problem 33E
(a)
To determine
To find: The diameter of the headlight at its opening, if the depth of the headlight is to be 4 inches.
(a)
Expert Solution
Answer to Problem 33E
Explanation of Solution
Given information: Automobile: Automobile headlights contain parabolic reflectors, which work on the principle that light placed at the focus of a parabola will reflect off the mirror-like surface in lines parallel to the axis of symmetry. Suppose a bulb is placed at the focus of a headlight’s reflector, which is 2 inches from the vertex.
Calculation:
According to the picture we should start at:
Since,
At a depth of 4 inches,
So,
The diameter
(b)
To determine
To find: The diameter of the headlight at its opening if the depth is increased by
(b)
Expert Solution
Answer to Problem 33E
Explanation of Solution
Given information: Automobile: Automobile headlights contain parabolic reflectors, which work on the principle that light placed at the focus of a parabola will reflect off the mirror-like surface in lines parallel to the axis of symmetry. Suppose a bulb is placed at the focus of a headlight’s reflector, which is 2 inches from the vertex.
Calculation:
Increasing the depth by 25 percent:
Chapter 10 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Ch. 10.1 - Prob. 1CFUCh. 10.1 - Prob. 2CFUCh. 10.1 - Prob. 3CFUCh. 10.1 - Prob. 4CFUCh. 10.1 - Prob. 5CFUCh. 10.1 - Prob. 6CFUCh. 10.1 - Prob. 7CFUCh. 10.1 - Prob. 8CFUCh. 10.1 - Prob. 9CFUCh. 10.1 - Prob. 10CFU
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