EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 2, Problem 9P

Economic formulas are available to compute annual payments for loans. Suppose that youborrow an amount of money P and agree to repay it in n annual payments at an interest rate of i. The formula to compute the annual payment A is

A = P i ( 1 + i ) n ( 1 + i ) n 1

Write a program to compute A. Test it with P = $ 55 , 000 and an interest rate of 6.6 % ( i = 0.066 ) . Compute results for n = 1 , 2 , 3 , 4 , and 5 and display the results as a table with headings and columns for n and A.

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Suppose that a room containing 1300 cubic feet of air is originally free of carbon monoxide (CO). Beginning at time t = 0, cigarette smoke containing 4% CO is introduced into the room at a rate of 0.8 cubic feet per minute. The well-circulated smoke and air mixture is allowed to leave the room at the same rate. Let A(t) represent the amount of CO in the room (in cubic feet) after t minutes. (A) Write the DE model for the time rate of change of CO in the room. Also state the initial condition. dA dt A(0) (B) Solve the IVP to find the amount of CO in the room at any time t > 0. A(t) (C) Extended exposure to a CO concentration as low as 0.00012 is harmful to the human body. Find the time at which this concentration is reached. t= minutes

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EBK NUMERICAL METHODS FOR ENGINEERS

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