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 l-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 110 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 l-131 to reach 15% of the initial dose? c. Finding the initial dose to give a particular patient is a critical calculation. How does the time to reach 15% of the initial dose change if the initial dose is increased by 5%? function that gives the amount of 1-131 in the body after t≥0 days. a. Suppose a patient is given an initial dose of 110 millicuries. Find y(t) = (Type an expression. Round coefficients to six decimal places as needed.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 l-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 110 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 15% of the initial dose?
c. Finding the initial dose to give a particular patient is a critical calculation. How does the time to reach 15% of the initial dose change if the initial dose is increased by 5%?
...
a. Suppose a patient is given an initial dose of 110 millicuries. Find the function that gives the amount of I-131 in the body after t≥0 days.
y(t) =
(Type an expression. Round coefficients to six decimal places as needed.)
Transcribed Image Text: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 l-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 110 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 15% of the initial dose? c. Finding the initial dose to give a particular patient is a critical calculation. How does the time to reach 15% of the initial dose change if the initial dose is increased by 5%? ... a. Suppose a patient is given an initial dose of 110 millicuries. Find the function that gives the amount of I-131 in the body after t≥0 days. y(t) = (Type an expression. Round coefficients to six decimal places as needed.)
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