The illumination of an object by a light source is directlyproportional to the strength of the source and inverselyproportional to the square of the distance from the source.If two light sources, one three times as strong as the other,are placed 10 ft apart, where should an object be placedon the line between the sources so as to receive the leastillumination?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The illumination of an object by a light source is directly
proportional to the strength of the source and inversely
proportional to the square of the distance from the source.
If two light sources, one three times as strong as the other,
are placed 10 ft apart, where should an object be placed
on the line between the sources so as to receive the least
illumination?

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