1 Nov 2021
Problem 62a
Page 310
Section 4.6: Optimization Problems
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
1 Nov 2021
Given information
Note that given,
Two light sources of identical strength are placed 10m apart. An object is to be placed at a point on a line parallel to the line joining the light sources and at a distance meters from it(see the figure). We want to locate on so that the intensity of illumination is minimized. We need to use the fact that the intensity of illumination for a single source is directly proportional to the strength of the source and inversely proportional to the square of the distance from the source.
Step-by-step explanation
Step 1.
Draw the required diagram,
Use formula, .
Add the intensities from the left and right light bulbs.