EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 11, Problem 16P

Use the software package of your choice to obtain a solution, calculate the inverse, and determine the condition number (without scaling) based on the row-sum norm for

(a) [ 1 4 9 4 9 16 9 16 25 ] { x 1 x 2 x 3 } = { 14 29 50 }

(b) [ 1 4 9 16 4 9 16 25 9 16 25 36 16 25 36 49 ] { x 1 x 2 x 3 x 4 } = { 30 54 86 126 }

In both cases, the answers for all the x's should be 1.

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1 S 0 sin(lnx) x² - 1 Inx dx
2 6. Modelling. Suppose that we have two tanks (A and B) between which a mixture of brine flows. Tank A contains 200 liters of water in which 50 kilograms of salt has been dissolved and Tank B contains 100 liters of pure water. Water containing 1kg of salt per liter is pumped into Tank A at the rate of 5 liters per minute. Brine mixture is pumped into Tank A from Tank B at the rate of 3 liters per minute and brine mixture is pumped from Tank A into Tank B at the rate of 8 liters per minute. Brine is drained from Tank B at a rate of 5 liters per minute. (a) Draw and carefully label a picture of the situation, including both tanks and the flow of brine between them. JankA 1ks of Salt Slits Pump EL Brine mit tark A from tank 13 Tank 13 k 3L zooliters of Ico liters of water with pure water. Saky salt → 777 disslore inside Brine mix is pumped from tank A to B of 82 Brine drainen min by Gf salt (b) Assume all brine mixtures are well-stirred. If we let t be the time in minutes, let x(t) 1ks…
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Chapter 11 Solutions

EBK NUMERICAL METHODS FOR ENGINEERS

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