18 Nov 2021
Problem 37
Page 307
Section 4.6: Optimization Problems
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
18 Nov 2021
Given information
1. The illumination of an object by a light source is directly proportional to the strength of the source.
2. The illumination of an object by a light source is inversely proportional to the square of the distance from the source.
3. Two light sources, one three times as strong as the other, are placed 10 ft apart.
Step-by-step explanation
Step 1.
Let 
be the strength of light source 
Therefore 
is the strength of light source 
Let the object be placed 
ffrom light source and 
from light source
Let illumination from light sources and be 
and 
respectively.
Therefore from given conditions we get the following equations:
where 
and 
are constants of proportionality.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 2
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9a
- Problem 9b
- Problem 9c
- Problem 10a
- Problem 10b
- Problem 10c
- Problem 10d
- Problem 10e
- Problem 10f
- Problem 11
- Problem 12
- Problem 13a
- Problem 13b
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
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- Problem 21
- Problem 22
- Problem 22
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- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32a
- Problem 32b
- Problem 33a
- Problem 33b
- Problem 33c
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39
- Problem 40
- Problem 41
- Problem 42
- Problem 43a
- Problem 43b
- Problem 44a
- Problem 44b
- Problem 45a
- Problem 45b
- Problem 46a
- Problem 46b
- Problem 47a
- Problem 47b
- Problem 47c
- Problem 48
- Problem 49
- Problem 50
- Problem 51
- Problem 52
- Problem 53
- Problem 54
- Problem 55
- Problem 56
- Problem 57
- Problem 58
- Problem 59a
- Problem 59b
- Problem 59c
- Problem 59d
- Problem 60a
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- Problem 60c
- Problem 61a
- Problem 61b
- Problem 61c
- Problem 62a
- Problem 62b
- Problem 62c
- Problem 62d