When a vertical beam of light passes through a transparent medium, the rate at which its intensity I decreases is proportional to I(t), wheret represents the thickness of the medium (in feet). In clear seawater, the intensity 3 feetbelow the surface is 25% of the initial intensity I, of the incident beam. What is the intensity of the beam 16 feet below the surface? (Give your answer in terms of I. Round any constants or coefficients to five decimal places.)

Answered: 25% of the initial intensity I.

Math

Calculus

25% of the initial intensity I.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.1: Quadratic Functions And Models

Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...

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Question

When a vertical beam of light passes through a transparent medium, the rate at which its intensity I decreases is proportional to I(t), wheret represents the thickness of the medium (in feet). In clear seawater, the intensity 3 feet
below the surface is 25% of the initial intensity I, of the incident beam. What is the intensity of the beam 16 feet below the surface? (Give your answer in terms of I. Round any constants or coefficients to five decimal places.)

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