a. Suppose a patient is given an initial dose of 120 millicuries. Find the function that gives the amount of I-131 in the body after t≥0 days. b. How long does it take for the amount of I-131 to reach 25% of the initial dose? c. Finding the initial dose to give a particular patient is a critical calculation. How does the time to reach 25% of the initial dose change if the initial dose is increased by 5%?
a. Suppose a patient is given an initial dose of 120 millicuries. Find the function that gives the amount of I-131 in the body after t≥0 days. b. How long does it take for the amount of I-131 to reach 25% of the initial dose? c. Finding the initial dose to give a particular patient is a critical calculation. How does the time to reach 25% of the initial dose change if the initial dose is increased by 5%?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 11CR
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Roughly 12,000 people in a certain country are diagnosed with thyroid cancer every year, which accounts for 1% of all cancer cases. It occurs in women three times as frequently as in men. Fortunately, thyroid cancer can be treated successfully in many cases with radioactive iodine, or I-131. This unstable form of iodine has a half-life of 8 days and is given in small doses measured in millicuries.
a. Suppose a patient is given an initial dose of 120 millicuries. Find the function that gives the amount of I-131 in the body after t≥0 days.
b. How long does it take for the amount of I-131 to reach 25% of the initial dose?
c. Finding the initial dose to give a particular patient is a critical calculation. How does the time to reach 25% of the initial dose change if the initial dose is increased by 5%?
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