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Tumor growth The growth of cancer tumors may be modeled by the Gompertz growth equation. Let M(t) be the mass of a tumor, for t ≥ 0. The relevant initial value problem is
where r and K are positive constants and 0 < M0 < K.
a. Show by substitution that the solution of the initial value problem is
b. Graph the solution for M0 = 100 and r = 0.05.
c. Using the graph in part (b), estimate
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Calculus: Early Transcendentals, Books A La Carte Edition (3rd Edition)
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- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
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