About 10% of lung cancer patients are cured of the disease, i.e., they survive 5 years after diagnosis with no evidence that the cancer has returned. Only 14% of lung cancer patients survive 5 years after diagnosis. Assume that the fraction of incurable lung cancer patients that survives a time t after diagnosis is given by exp(-kt). Find an expression for the fraction S(t) of lung cancer patients who survive a time t after being diagnosed with the disease. Be sure to determine the values of all of the constants in your answer. (Round k to four decimal places.) S(t) = What fraction of lung cancer patients survives 9 years with the disease? (Round your answer to four decimal places.)
About 10% of lung cancer patients are cured of the disease, i.e., they survive 5 years after diagnosis with no evidence that the cancer has returned. Only 14% of lung cancer patients survive 5 years after diagnosis. Assume that the fraction of incurable lung cancer patients that survives a time t after diagnosis is given by exp(-kt). Find an expression for the fraction S(t) of lung cancer patients who survive a time t after being diagnosed with the disease. Be sure to determine the values of all of the constants in your answer. (Round k to four decimal places.) S(t) = What fraction of lung cancer patients survives 9 years with the disease? (Round your answer to four decimal places.)
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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Transcribed Image Text:About 10% of lung cancer patients are cured of the disease, i.e., they survive 5 years after diagnosis with no evidence that the cancer
has returned. Only 14% of lung cancer patients survive 5 years after diagnosis. Assume that the fraction of incurable lung cancer
patients that survives a time t after diagnosis is given by exp(-kt).
Find an expression for the fraction S(t) of lung cancer patients who survive a time t after being diagnosed with the disease. Be sure to
determine the values of all of the constants in your answer. (Round k to four decimal places.)
S(t) =
What fraction of lung cancer patients survives 9 years with the disease? (Round your answer to four decimal places.)
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