The intensity L(x) of light x feet beneath the surface of the ocean satisfies the differential equation dL /dx = -kL. As a diver, you know from experience that diving to 18 ft in the Caribbean Sea cuts the intensity in half. You cannot work with-out artificial light when the intensity falls below one-tenth of the surface value. About how deep can you expect to work without artificial light?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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The intensity L(x) of light x feet beneath the surface of the ocean satisfies the differential equation

dL /dx = -kL.

As a diver, you know from experience that diving to 18 ft in the Caribbean Sea cuts the intensity in half. You cannot work with-out artificial light when the intensity falls below one-tenth of the surface value. About how deep can you expect to work without artificial light?

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