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A patient is diagnosed to have Po cancer cells at time t = 0 and these cells grow subsequently according to P = −αP(M – P) where P(t) is the number of the cells at time t while a and M are two given positive constants. The patient will die when the number of bugs approaches infinity. Consider the case Po > M for the prognosis of the patient, i.e., find the time the patient has left to live.

A patient is diagnosed to have Po cancer cells at time t = 0 and these cells grow subsequently according to P = −αP(M – P) where P(t) is the number of the cells at time t while a and M are two given positive constants. The patient will die when the number of bugs approaches infinity. Consider the case Po > M for the prognosis of the patient, i.e., find the time the patient has left to live.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A patient is diagnosed to have Po cancer cells at time t = 0 and these cells grow subsequently according to P = −aP(M – P) where P(t) is the number of the cells at time t while a and M are two given positive constants. The patient will die when the number of bugs approaches infinity. Consider the case Po > M for the prognosis of the patient, i.e., find the time the patient has left to live.
Transcribed Image Text:A patient is diagnosed to have Po cancer cells at time t = 0 and these cells grow subsequently according to P = −aP(M – P) where P(t) is the number of the cells at time t while a and M are two given positive constants. The patient will die when the number of bugs approaches infinity. Consider the case Po > M for the prognosis of the patient, i.e., find the time the patient has left to live.
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