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categoryالرياضيات
schoolبكالوريوس
event_available2026-07-14
السؤال
Transcribed Image Text:
The rate of proliferation (that is, reproduction) for the cells in a tumor varies depending on the size of the tumor. The Gompertz growth model is sometimes used to
model this growth. According to the Gompertz model the total number of divisions occurring in 1 hour, R, depends on the number of cells, N, through the formula given
below.
R(N) = DN In
The positive constants, d and A, both depend on the type of tumor, whether it is being treated or not, and so on.
(a) Assume that d=A= 1. Use a table or a graph to show that limN→0R(N) = 0.
Complete the table of values to show that limN0R(N) = 0.
(Type an integer or decimal rounded to three decimal places as needed.)
N
R(N)
0.1
0.01
0.001
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