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Calculus with Applications | 10th Edition | ISBN: 9780321749000 | Authors: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
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Intensity of Light The intensity of light (in appropriate

Chapter , Problem 116A

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QUESTION:

Problem 116A

Intensity of Light The intensity of light (in appropriate units) passing through water decreases exponentially with the depth it penetrates beneath the surface according to the function

I(x) = 10e−03x,

where x is the depth in meters. A certain water plant requires light of an intensity of 1 unit. What is the greatest depth of water in which it will grow?

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QUESTION:

Problem 116A

Intensity of Light The intensity of light (in appropriate units) passing through water decreases exponentially with the depth it penetrates beneath the surface according to the function

I(x) = 10e−03x,

where x is the depth in meters. A certain water plant requires light of an intensity of 1 unit. What is the greatest depth of water in which it will grow?

ANSWER:

SOLUTION:

Step 1 of 2:

In this question, the intensity of light (in appropriate units) passing through water decreases exponentially with the depth it penetrates beneath the surface according to the function  , where  is the depth in meters. A certain water plant requires light of an intensity of 1 unit. Find the greatest depth of water in which it will grow.

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