Plutonium-239 is a radioactive substance that is a waste product produced by nuclear power plants. Plutonium-239 decays at a rate of 2.8% per thousand years. Each year, the world's muclear power plants produce approximately 70000 tons of plutonium  Assume that 70000 tons of plutonium were produced in 2011. Let ƒ be the function that, to each time t in thousands of years, assigns the amount of plutonium produced in 2011 that still remains after time t. Answer the following questions. Explain completely.   (a) How much of the plutonium produced in 2011 will remain after 1000 years?   (b) Determine a formula for f(t). Use the formula to determine how much plutonium that was produced in 2011 will still remain after 20,000 years.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Plutonium-239 is a radioactive substance that is a waste product produced by nuclear power plants. Plutonium-239 decays at a rate of 2.8% per thousand years. Each year, the world's muclear power plants produce approximately 70000 tons of plutonium  Assume that 70000 tons of plutonium were produced in 2011. Let ƒ be the function that, to each time t in thousands of years, assigns the amount of plutonium produced in 2011 that still remains after time t. Answer the following questions. Explain completely.

 

(a) How much of the plutonium produced in 2011 will remain after 1000 years?

 

(b) Determine a formula for f(t). Use the formula to determine how much plutonium that was produced in 2011 will still remain after 20,000 years.

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