The intensity L(x) of light x feet beneath the surface of the ocean satisfies the differential equation dL = - kL. From experience, a diver knows that diving to 17 ft in a sea cuts the intensity in half. He cannot work without artificial light when the intensity falls below one-fifth of the surface value. About how deep can he expect to work without artificial light? He can work approximatelyOft deep without artificial light. (Simplify your answer. Round to the nearest tenth as needed.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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dL
= - kL. From experience, a diver knows that diving to 17 ft in a
The intensity L(x) of light x feet beneath the surface of the ocean satisfies the differential equation
dx
sea cuts the intensity in half. He cannot work without artificial light when the intensity falls below one-fifth of the surface value. About how deep can he expect to
work without artificial light?
He can work approximately ft deep without artificial light.
(Simplify your answer. Round to the nearest tenth as needed.)
Transcribed Image Text:dL = - kL. From experience, a diver knows that diving to 17 ft in a The intensity L(x) of light x feet beneath the surface of the ocean satisfies the differential equation dx sea cuts the intensity in half. He cannot work without artificial light when the intensity falls below one-fifth of the surface value. About how deep can he expect to work without artificial light? He can work approximately ft deep without artificial light. (Simplify your answer. Round to the nearest tenth as needed.)
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