Finite Mathematics for Business, Economics, Life Sciences and Social Sciences

14th Edition

ISBN: 9780134677972

Author: Barnett

Publisher: PEARSON

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Textbook Question

Chapter 9.1, Problem 62E

Problems 61-70 refer to the following transition matrix P and its powers

A B C P = A B C .6 .3 .1 .2 .5 .3 .1 .2 .7 A B C P 2 = A B C .43 .35 .22 .25 .37 .38 .17 .27 .56 A B C P 2 = A B C .35 .348 .302 .262 .336 .402 .212 .298 .49

Find the probability of going from state B to state C in two trials.

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Chapter 9.1, Problem 61E

Chapter 9.1, Problem 63E

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(b) Find the (instantaneous) rate of change of y at x = 5. In the previous part, we found the average rate of change for several intervals of decreasing size starting at x = 5. The instantaneous rate of change of fat x = 5 is the limit of the average rate of change over the interval [x, x + h] as h approaches 0. This is given by the derivative in the following limit. lim h→0 - f(x + h) − f(x) h The first step to find this limit is to compute f(x + h). Recall that this means replacing the input variable x with the expression x + h in the rule defining f. f(x + h) = (x + h)² - 5(x+ h) = 2xh+h2_ x² + 2xh + h² 5✔ - 5 )x - 5h Step 4 - The second step for finding the derivative of fat x is to find the difference f(x + h) − f(x). - f(x + h) f(x) = = (x² x² + 2xh + h² - ])- = 2x + h² - 5h ])x-5h) - (x² - 5x) = ]) (2x + h - 5) Macbook Pro

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Chapter 9 Solutions

Finite Mathematics for Business, Economics, Life Sciences and Social Sciences

Ch. 9.1 - (A) Refer to the transition diagram in Figure 1....Ch. 9.1 - Refer to Example 4. States D and G are referred to...Ch. 9.1 - An insurance company classifies drivers as...Ch. 9.1 - Find P4 and use it to find S4 for AAP=AA.8.2.3.7...Ch. 9.1 - Use P8 and a graphing calculator to find S8 for P...Ch. 9.1 - Refer to Example 4. At the end of each year the...Ch. 9.1 - In Problems 1-8, find the matrix product, if it is...Ch. 9.1 - In Problems 1-8, find the matrix product, if it is...Ch. 9.1 - In Problems 1-8, find the matrix product, if it is...Ch. 9.1 - In Problems 1-8, find the matrix product, if it is...

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