The intensity of light, I(x), x feet below the surface of the ocean satisfies the DE: dI/dx = k⋅I for some constant k. If diving to a depth of 18 ft below the surface cuts the light intensity in half then determine at what depth the light intensity will be 1/10th that of its surface value. (Express your answer in terms of natural logarithms and in units of feet.)
The intensity of light, I(x), x feet below the surface of the ocean satisfies the DE: dI/dx = k⋅I for some constant k. If diving to a depth of 18 ft below the surface cuts the light intensity in half then determine at what depth the light intensity will be 1/10th that of its surface value. (Express your answer in terms of natural logarithms and in units of feet.)
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 intensity of light, I(x), x feet below the surface of the ocean satisfies the DE: dI/dx = k⋅I for some constant k.
If diving to a depth of 18 ft below the surface cuts the light intensity in half then determine at what depth the light intensity will be 1/10th that of its surface value.
(Express your answer in terms of natural logarithms and in units of feet.)
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