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 divisionsoccurring in 1 hour, R, depends on the number of cells, N, through the formula given below.R(N) = dN In(A)NThe 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-OR(N) = 0.Complete the table of values to show that limN-OR(N) = 0.(Type an integer or decimal rounded to three decimal places as needed.)N0.10.01 0.001R(N)

Answered: Image /qna-images/answer/59e762e8-07ff-4d16-9622-e8bb5f517674.jpg

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) = N 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 lim-R(N) = 0. Complete the table of values to show that lim-R(N)=0. (Type an integer or decimal rounded to three decimal places as needed.) N 0.1 0.01 0.001 R(N) O

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) = N 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 lim-R(N) = 0. Complete the table of values to show that lim-R(N)=0. (Type an integer or decimal rounded to three decimal places as needed.) N 0.1 0.01 0.001 R(N) O

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 13EQ

See similar textbooks