Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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### Iodine-131 Decay Information The amount of iodine-131 remaining in a sample that originally contained \( A \) grams is approximately given by the formula: \[ C(t) = A(0.9175)^t \] where \( t \) is time in days. #### Calculations to Determine Remaining Percentage (a) Find, to the nearest whole number, the percentage of iodine-131 left in an originally pure sample after: - **2 days**: [Input Box] % - **4 days**: [Input Box] % - **6 days**: [Input Box] % #### Half-Life Estimation using Graph (b) Use a graph to estimate, to the nearest day, when one half of a sample of 100 grams will have decayed: - [Input Box] days Note: The graph, although not shown here, should plot the remaining amount \( C(t) \) over time \( t \) to visually approximate the half-life.
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Transcribed Image Text:### Iodine-131 Decay Information The amount of iodine-131 remaining in a sample that originally contained \( A \) grams is approximately given by the formula: \[ C(t) = A(0.9175)^t \] where \( t \) is time in days. #### Calculations to Determine Remaining Percentage (a) Find, to the nearest whole number, the percentage of iodine-131 left in an originally pure sample after: - **2 days**: [Input Box] % - **4 days**: [Input Box] % - **6 days**: [Input Box] % #### Half-Life Estimation using Graph (b) Use a graph to estimate, to the nearest day, when one half of a sample of 100 grams will have decayed: - [Input Box] days Note: The graph, although not shown here, should plot the remaining amount \( C(t) \) over time \( t \) to visually approximate the half-life.
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