Lambert's law of absorption states that the light intensity 1(x) (in calories/square centimeter/second) at a depth of x m as measured from the surface of a material is given by I = 10ax, where 10 and a are positive constants.

a. Find the rate of change of the light intensity with respect to x at a depth of x m from the surface of the material.

b. Using the result of part (a), conclude that the rate of change I'(x) at a depth of x m is proportional to I(x). What is the constant of proportion?

Answer rating: 100% (QA)

Given a To find the rate of the change of the light intensity with respect to x at a depth of x m f... View the full answer