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The intensity of light I through a lake at a depth of x meters is given by the following formula. dl =(-1.41)| dx (a) At what depth is the intensity of the light half that of the intensity at the surface, I,? (b) At 5 meters deep, what is the intensity of the light as a fraction of I,? (c) How many meters deep will the intensity of light be 9% of the intensity of the light at the surface? (a) At what depth is the intensity of the light half that of the intensity at the surface, I? Remember that the depth at the surface is x = 0. At meters (Type an integer or decimal rounded to the nearest thousandth as needed.)

The intensity of light I through a lake at a depth of x meters is given by the following formula. dl =(-1.41)| dx (a) At what depth is the intensity of the light half that of the intensity at the surface, I,? (b) At 5 meters deep, what is the intensity of the light as a fraction of I,? (c) How many meters deep will the intensity of light be 9% of the intensity of the light at the surface? (a) At what depth is the intensity of the light half that of the intensity at the surface, I? Remember that the depth at the surface is x = 0. At meters (Type an integer or decimal rounded to the nearest thousandth as needed.)

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.2: The Natural Exponential Function
Problem 2E
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The intensity of light I through a lake at a depth of x meters is given by the following formula. dl =(-1.41)| dx (a) At what depth is the intensity of the light half that of the intensity at the surface, I,? (b) At 5 meters deep, what is the intensity of the light as a fraction of I,? (c) How many meters deep will the intensity of light be 9% of the intensity of the light at the surface? (a) At what depth is the intensity of the light half that of the intensity at the surface, I? Remember that the depth at the surface is x = 0. At meters (Type an integer or decimal rounded to the nearest thousandth as needed.)
Transcribed Image Text:The intensity of light I through a lake at a depth of x meters is given by the following formula. dl =(-1.41)| dx (a) At what depth is the intensity of the light half that of the intensity at the surface, I,? (b) At 5 meters deep, what is the intensity of the light as a fraction of I,? (c) How many meters deep will the intensity of light be 9% of the intensity of the light at the surface? (a) At what depth is the intensity of the light half that of the intensity at the surface, I? Remember that the depth at the surface is x = 0. At meters (Type an integer or decimal rounded to the nearest thousandth as needed.)
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