The intensity I of light at a depth of x meters below the surface of a lake

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The intensity I of light at a depth of x meters below the surface of a lake satisfies the differential equation dI/dx = (-1.4)I.

(a) At what depth is the intensity half the intensity I0 at the surface (where x = 0)?

(b) What is the intensity at a depth of 10 m (as a fraction of I0)?

(c) At what depth will the intensity be 1% of that at the surface?

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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