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.