Biology. For relatively clear bodies of water, the intensity of light is reduced according to d I d x = − k I I ( 0 ) = I 0 where I is the intensity of light at x feet below the surface. For the Sargasso Sea off the West Indies, k = 0.00942. Find I in terms of x, and find the depth at which the light is reduced to one third the surface light.
Biology. For relatively clear bodies of water, the intensity of light is reduced according to d I d x = − k I I ( 0 ) = I 0 where I is the intensity of light at x feet below the surface. For the Sargasso Sea off the West Indies, k = 0.00942. Find I in terms of x, and find the depth at which the light is reduced to one third the surface light.
Solution Summary: The author calculates the intensity of light in terms of the variable x and depth at which the light is reduced to one third of that at the surface.
Biology. For relatively clear bodies of water, the intensity of light is reduced according to
d
I
d
x
=
−
k
I
I
(
0
)
=
I
0
where I is the intensity of light at x feet below the surface.
For the Sargasso Sea off the West Indies, k = 0.00942. Find I in terms of x, and find the depth at which the light is reduced to one third the surface light.
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
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