3. At time t, a certain radioactive material is known to decay at a rate proportional to the mass, M(t), present. Initially 40 milligrams of the material is present and after three hours it is observed that the material has lost 10% of its initial mass. Find: (a) an expression for the mass of the material at any time t, (b) the mass of the material after four hours, and (c) the time at which the material has decayed to one half of its initial mass.
3. At time t, a certain radioactive material is known to decay at a rate proportional to the mass, M(t), present. Initially 40 milligrams of the material is present and after three hours it is observed that the material has lost 10% of its initial mass. Find: (a) an expression for the mass of the material at any time t, (b) the mass of the material after four hours, and (c) the time at which the material has decayed to one half of its initial mass.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
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Transcribed Image Text:3. At time t, a certain radioactive material is known to decay at a rate
proportional to the mass, M(t), present. Initially 40 milligrams of the
material is present and after three hours it is observed that the material
has lost 10% of its initial mass. Find:
(a) an expression for the mass of the material at any time t,
(b) the mass of the material after four hours, and
(c) the time at which the material has decayed to one half of its initial
mass.
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