EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 18, Problem 8P
The following data come from a table that was measured with high precision. Use the best numerical method (for this type of problem to determine y at
x | 0 | 1.8 | 5 | 6 | 8.2 | 9.2 | 12 |
y | 26 | 16.415 | 5.375 | 3.5 | 2.015 | 2.54 | 8 |
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
QUESTION 3
Solve the following differential equation in Matlab using ode45.m. Use time interval of 0.1 second. (Don't use options in ode45 to change teh tolerance.)
df (t)
+ƒ (t) ×sin(t) =0
dt
f(0)=0.8.
What is f(t=3.7)?
0.120
0.126
0.491
0.847
0.635
○ 0.695
QUESTION 4
What's the mean of the following points? x = [-3 3 4 2 -1 1 4 5]
Type your answer...
Table Error function (erf) values
erf (z)
erf (2
erf (z)
0.55
0.5033
13
0.9340
0.025
0.0282
O 60
0.6039
14
0.9523
0.05
0.0564
0.05
0 6420
15
0.9001
0.10
0.1125
0.70
0 6778
0.9703
16
0.15
0.1080
0.75
0.7112
1.7
0.9838
0 20
0.2227
080
07421
18
0.0091
025
0 2703
0.85
0.7707
1.9
0.0028
0.30
0.3290
0.90
0.7969
20
0.9953
0.35
03704
0.95
0.8200
22
0.9981
040
0.4284
O 8427
O 8802
1.0
24
0.9903
0.45
0.4755
11
2.6
0.0098
0 50
0.5205
12
0.9103
28
0 9990
A 1010 steel is to be carburized using a gas atmosphere that produces 1.0% Cat the surface of the steel. The case depth is defined as the distance below the
surface that contains at least 0.5% Č. If carburizing is done at 1000 C, determine the time required to produce a case depth of 0 234 mm. For the diffusion of
Garbon in FCC iron Q - 137.7 kJ/mol and Do = 0.23 x 10 m²/s. The gas constant is R- 8.314 J/(mol - K). Assume that the diffusion coefficient D
remains constant and the concentrations of the diffusing atoms at the surface (c.) and at…
Chapter 18 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 18 - 18.1 Estimate the common logarithm of 10 using...Ch. 18 - 18.2 Fit a second-order Newton’s interpolating...Ch. 18 - 18.3 Fit a third-order Newton’s interpolating...Ch. 18 - Repeat Probs. 18.1 through 18.3 using the Lagrange...Ch. 18 - 18.5 Given these...Ch. 18 - 18.6 Given these data
x 1 2 3 5 7 8
...Ch. 18 - Repeat Prob. 18.6 using Lagrange polynomials of...Ch. 18 - 18.8 The following data come from a table that was...Ch. 18 - 18.9 Use Newton’s interpolating polynomial to...Ch. 18 - Use Newtons interpolating polynomial to determine...
Ch. 18 - 18.11 Employ inverse interpolation using a cubic...Ch. 18 - 18.12 Employ inverse interpolation to determine...Ch. 18 - 18.13 Develop quadratic splines for the first five...Ch. 18 - 18.14 Develop cubic splines for the data in Prob....Ch. 18 - Determine the coefficients of the parabola that...Ch. 18 - Determine the coefficients of the cubic equation...Ch. 18 - 18.17 Develop, debug, and test a program in either...Ch. 18 - 18.18 Test the program you developed in Prob....Ch. 18 - 18.19 Use the program you developed in Prob. 18.17...Ch. 18 - Use the program you developed in Prob. 18.17 to...Ch. 18 - Develop, debug, and test a program in either a...Ch. 18 - 18.22 A useful application of Lagrange...Ch. 18 - Develop, debug, and test a program in either a...Ch. 18 - Use the software developed in Prob. 18.23 to fit...Ch. 18 - Use the portion of the given steam table for...Ch. 18 - The following is the built-in humps function that...Ch. 18 - 18.28 The following data define the sea-level...Ch. 18 - 18.29 Generate eight equally-spaced points from...Ch. 18 - 18.30 Temperatures are measured at various points...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
Analytic Functions. Find fz=ux,y+ivx,y with u or v as given. Check by the Cauchy Reimann equations for analyti...
Advanced Engineering Mathematics
|4.2| = ?
Basic Technical Mathematics
(a) Show that (x) = x2 is an explicit solution to xdydx = 2y on the interval (, ). (b) Show that (x) = ex x is...
Fundamentals of Differential Equations (9th Edition)
Find all solutions of each equation. Express the solutions in radians.
Precalculus: A Unit Circle Approach (3rd Edition)
Find how many SDs above the mean price would be predicted to cost.
Intro Stats, Books a la Carte Edition (5th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Q2: File Upload الزامي ABET äbäi 15 solve the question on a piece of [Q2] paper and upload it as ONE FILE here .{as an image or PDF only} Question 2 Use the least square regression to fit the data in the following table to the equation yfit = ae*. 1.5 2 y 1.6 3.7 7 13.5 24.6 1 2.5 (A) Determine the values of a and 3. (B) What is the standard error of this estimation? (C) Using the fit equation, what the value of y at r = 2.25? إضافة ملفarrow_forwardUsing trapezoidal rule integration with 2 equal sized sub-intervals, find the area under the curve defined by the polynomial y = 0.10x5 + 0.1x³ + 24 between limits of 4.2 and 11.1. Give your answer to a precision of at least 3 significant figures. Your Answer:arrow_forwardQUESTION 4 Solve the following differential equation in Matlab using ode45.m. Use time interval of 0.1 second. (Don't use options in ode45 to change teh tolerance.) do (t) dt - cos = sint 0(0)=0. What is e(t=4.1)? ○ 0.871 -0.212 1.44 1.28 2.01 3.19arrow_forward
- The orthographic views of an object are shown below. a) Draw its isometric drawing using a pencil. Provide all important dimensions on your isometric drawing. b) You need to take pictures of all main steps and need to provide a step-by-step method to draw isometric drawing accompanied by pictures. 307303030 | 20 60 15 15 55 30 20 60 + 27.5 4 25 47.5 25 R20 20 T 15 60 016 120 R30 120 120 30arrow_forwardThe heat flux (q) can be computed with Fourier's law Where q has units of W/m2 and k is the thermal conductivity of the material (W/m.K). T: temperature (K) and x = distance (m) along the path of heat flow. Determine at each point for the following data using the best finite divided approximation formulas. x (cm) T (K)| 10 800 15 760 25 630 35 480 370 40 300 55 200 70arrow_forward4. Given the following data : T(k') 600 700 800 900 (Cp/R) 3.671 3.755 3.838 3.917 Where "T" is the absolute temperature and (C,/R) is the dimensionless specific heat of air. Use Newton's forward interpolation method to find the specific heat at T = 670 k°. %3Darrow_forward
- Sketch the Isometric and three view and mention the dimensions Also draw the hidden lines, use creo parametic to sketch the figures 3.00 4.50 1.50 1.25 A -.25 4.00 Ø.78 3.00 .25 - .78- .40 A (BOTTOM) 4.50 2.25 4.50 1.00 МATL—AISI С-+1040 Step bracket.arrow_forward2. Answer the question completely and write down the given, required and formula that had been used. Provide graph and accurate/comple solution. The value are: V- 1 X- 5 W- 7 Y- 6 Z- 8arrow_forwardAs an exercise, a student weighed several bunches of nails on a balance. The nails were not all the same size. Here are the student's data: 4. number of nails mass in grams 82 122 208 324 435 12 20 26 Prepare a plot of these data on the grid below or on the graph paper. Use "number of nails" as the independent variable and be certain to scale and label the axes correctly. Scale the axes starting at the origin; 0, 0. GO 20 向 12 円 Number of nails Cx) 2. 18 20 mass inarrow_forward
- The following data were collected from a test specimen of cold-rolled and annealed brass. The specimen had an initial gage length 10 of 35 mm and an initial cross-sectional area A0 of 10.5 mm2. Load, N Elongation, mm Load, N Elongation Al, mm 0.0000 1350 5.55 66 0.0112 1720 8.15 177 0.0157 2220 13.07 327 0.0199 2690 (maximum load) 22.77 462 0.0240 2410 25.25 (fracture) 797 1.72 (a) Plot the engineering stress-strain curve and the true stress-strain curve. Use a software graphing Package. (b) Calculate the 0.2% offset yield strength; Calculate the tensile strength; Calculate the elastic modulus using a linear fit to the appropriate data. (c) Can you use the equations that calculate the true stresses and true strains beyond the ultimate tensile strength? Why? If the true stress-strain data were known past the point of necking, what might the curve look like?arrow_forwardUsing trapezoidal rule integration with 2 equal sized sub-intervals, find the area under the curve defined by the polynomial y = 0.04x5 + 0.5x3 + 38 between limits of 4.7 and 11.0. Give your answer to a precision of at least 3 significant figures.arrow_forwardAs an industrial engineer, you intend to use linear trend (or linear regression) method to solve a forecasting problem. You have decided to use the equation of y = m(x) + c to establish the relationship between the sales (y) and the related month (x). It is known that 8 consecutive months data (Jan to Aug) were used and they resulted to the following parameter values of m = 320 and c = 1017. Using the regression technique, estimate the percentage of sales improvement from December this year to June next year.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Finding Local Maxima and Minima by Differentiation; Author: Professor Dave Explains;https://www.youtube.com/watch?v=pvLj1s7SOtk;License: Standard YouTube License, CC-BY