Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 17, Problem 11P

Beyond the examples in Fig. 17.10, there are other models that can be linearized using transformations. For example,

y = α 4 x e β 4 x

Linearize this model and use it to estimate α 4 and β 4 based on the following data. Develop a plot of your fit along with the data.

x 0.1 0.2 0.4 0.6 0.9 1.3 1.5 1.7 1.8
y 0.75 1.25 1.45 1.25 0.85 0.55 0.35 0.28 0.18
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To fit a simple linear regression model to the data and to provide its equation (d = a*t + b), along with R2   Day Date Weekday Daily Demand Weekend 1 4/25/2016 Mon 297 0 2 4/26/2016 Tue 293 0 3 4/27/2016 Wed 327 0 4 4/28/2016 Thu 315 0 5 4/29/2016 Fri 348 0 6 4/30/2016 Sat 447 1 7 5/1/2016 Sun 431 1 8 5/2/2016 Mon 283 0 9 5/3/2016 Tue 326 0 10 5/4/2016 Wed 317 0 11 5/5/2016 Thu 345 0 12 5/6/2016 Fri 355 0 13 5/7/2016 Sat 428 1 14 5/8/2016 Sun 454 1 15 5/9/2016 Mon 305 0 16 5/10/2016 Tue 310 0 17 5/11/2016 Wed 350 0 18 5/12/2016 Thu 308 0 19 5/13/2016 Fri 366 0 20 5/14/2016 Sat 460 1 21 5/15/2016 Sun 427 1 22 5/16/2016 Mon 291 0 23 5/17/2016 Tue 325 0 24 5/18/2016 Wed 354 0 25 5/19/2016 Thu 322 0 26 5/20/2016 Fri 405 0 27 5/21/2016 Sat 442 1 28 5/22/2016 Sun 454 1 29 5/23/2016 Mon 318 0 30 5/24/2016 Tue 298 0 31 5/25/2016 Wed 355 0 32 5/26/2016 Thu 355 0 33 5/27/2016 Fri 374 0 34 5/28/2016 Sat 447 1 35 5/29/2016…
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The following data is available from a batch fermentor where glucose is converted to ethanol. In the data, t is the time of the sample collection, and P is the concentration of ethanol. t 0 0.2 0.4 0.5 P 2 5 15 30 apply a black-box modeling approach to the data, and fit it to the following nonlinear model in the images. with A and B are model parameters, and x is the time, and y is the ethanol concentration in the fermentor. apply a transformation to the data for to make it solvable on pen-and-paper

Chapter 17 Solutions

Numerical Methods for Engineers

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|4.2| = ?

Basic Technical Mathematics

For Problems 23-28, write in simpler form, as in Example 4. logbFG

Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)

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