Lambert's Law of Absorption Lambert's law of absorption states that the light intensity I(x) (in calories per square centimeter per second) at a depth of x m as measured from the surface of a material is given by I = Ina*, where I, and a are positive constants. (a) Find the rate of change (in calories per square centimeter per second) of the light intensity with respect to x at a depth of x m from the surface of the material. calories per square centimeter per second (b) Using the result of part (a), conclude that the rate of change I'(x) at a depth of x m proportional to I(x). What is the constant of proportion?

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