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The amount of a certain radioactive material (in grams) in a storage facility at time t is given by C(t) = 49e 19t, where time is measured in years. (a) How much of the radioactive material was present initially? (b) What is the half-life of the radioactive material? (Hint: For what value of t is C(t) = 24.5?) (a) Initially, there were grams of the radioactive material. (Round to two decimal places as needed.) (b) The half-life of the radioactive material is years. (Round to two decimal places as needed.)

The amount of a certain radioactive material (in grams) in a storage facility at time t is given by C(t) = 49e 19t, where time is measured in years. (a) How much of the radioactive material was present initially? (b) What is the half-life of the radioactive material? (Hint: For what value of t is C(t) = 24.5?) (a) Initially, there were grams of the radioactive material. (Round to two decimal places as needed.) (b) The half-life of the radioactive material is years. (Round to two decimal places as needed.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The amount of a certain radioactive material (in grams) in a storage facility at time t is given by C(t) = 49e 19t, where time is measured in years. (a) How much of the radioactive material was present initially? (b) What is the half-life of the radioactive material? (Hint: For what value of t is C(t) = 24.5?) (a) Initially, there were grams of the radioactive material. (Round to two decimal places as needed.) (b) The half-life of the radioactive material is years. (Round to two decimal places as needed.) ہے
Transcribed Image Text:The amount of a certain radioactive material (in grams) in a storage facility at time t is given by C(t) = 49e 19t, where time is measured in years. (a) How much of the radioactive material was present initially? (b) What is the half-life of the radioactive material? (Hint: For what value of t is C(t) = 24.5?) (a) Initially, there were grams of the radioactive material. (Round to two decimal places as needed.) (b) The half-life of the radioactive material is years. (Round to two decimal places as needed.) ہے
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