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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 (2nd Edition)
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