A useful application of Lagrange interpolation is called a table look-up. As the name implies, this involves “looking-up” an intermediate value from a table. To develop such an algorithm, the table of x and
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Chapter 18 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
- The following tools / resources may be useful for you to complete the assignment:a. Chatgpt (You may use it to learn Matlab coding or any other computer language. An example is given here: https://shareg.pt/mXHGne9 ). Please take note that code generated by chatgpt can be directly copied and pasted.b. Matlabi) Useful cheat sheet (https://n.ethz.ch/~marcokre/download/ML-CheatSheet.pdf)ii) Getting started with Matlab (https://matlabacademy.mathworks.com/en/details/gettingstarted )iii) Getting 30-day Matlab trial license (https://www.mathworks.com/campaigns/products/trials.html ) iv) Polyfit (https://www.mathworks.com/help/matlab/ref/polyfit.html )v) Exponential Fit (https://www.mathworks.com/matlabcentral/answers/91159-how-do-i-fit-an-exponential-curve-to-my-data)c. PlotDigitizer (https://plotdigitizer.sourceforge.net/ ) or a free online app that does not requires installation (https://plotdigitizer.com/app )You may use your own engineering judgement to make any assumptions on any…arrow_forwardPlease help, this for Matlab the image is the first question with following 2 and 3 they go together. 2. Solving the question by using bisection.m with the stopping criterion at 1%. Report the root and # of iterations. 3. by using newton-Raphson matlab script with the stopping criterion at 0.1%. Report the root and # of iterations.arrow_forwardHW Matlab 1) Create a variable ftemp to store a temperature in degrees Fahrenheit (F). Write m-file to convert this to degrees Celsius and store the result in a variable ctemp. The conversion factor is C = (F —32) * 5/9. 2) Write m-file to generate a matrix of random integers of size 100 by 100 their values between 15 to 80. 3) Free fall of objects is given by y =5mgt? where a is the acceleration, v is the velocity, y is the distance, m is the mass of the object, g is the gravitational acceleration. Plot the distance and velocity of the object for 15 seconds after its fall from rest (y = 0). Take m = 0.2 kg.arrow_forward
- As the potential across the resistor increased, the current through the resistor increased. If the change in current is proportional to the voltage, the data should be in a straight line and it should go through zero. In these two examples how close is the y-intercept to zero? Is there a proportional relationship between voltage and current? If so, write the equation for each run in the form potential = constant x current. (Use a numerical value for the constant.)arrow_forward9) A merry-go-round is set up at a local fair. The merry-go-round moves continuously at a rate slow enough for riders to step on and off the ride. The pink horse, P, moves along the circumference of the ride. Hal used a coordinate grid to make a rough sketch of the merry-go-round, with the center at the origin. Initially, P is at P(5,0). It takes 30 seconds for P to return to the same place. What would be the coordinate of P on Hal's sketch after 8.25 minutes? P(5,0)arrow_forward1) Model the following problem with integer programming. The marketing department has been allocated a budget of $10M and would like to determine which products to develop advertising campaigns; note: at most one campaign can be launched for each product. Their goal is to maximize revenue for the company. Data is presented in the table below. Product A BCD E F 10 7 12 8 6 Projected Revenue ($M) Cost ($M) 6 1 2 5 4 3arrow_forward
- Briefly discuss how each of the following is used by CFD codes to speed up the iteration process: (a) multigridding and (b) artificial timearrow_forwardSome US census population data is given in the following table. Year yeatr 1980 1990 2000 population(y) 227 249 281 Here population is given in millions. 1. Fit a second degree polynomial passing through these points. 2. Use it to predict population in year 2010 and 2020. Note: Develop the linear system of equations from the above theory and solve the system by LU Decomposition Method. (linear algebra)arrow_forwardQuestion 4 List the steps in details to draw the shape below using AutoCAD commands 190 220 50 -90 - 50 114 81 R80 450 122 -R125 68 65 290 50 290 630arrow_forward
- Suppose your CFD code can handle nonelementary blocks. Combine as many blocks of Fig. as you can. The only restriction is that in any one block, the number of i-intervals and the number of j-intervals must be constants. Show that you can create a structured grid with only three nonelementary blocks. Renumber all the blocks and indicate how many i- and j-intervals are contained in each block. Add up all the cells and verify that the total number of cells does not change.arrow_forwardQI: 30 time (s) The above velocity- time graph for an object that moves as shown path. 1. Discuss the diagram. 2. Instantaneous acceleration after 1.5 second of staring. 3. The displacement during the first six seconds. 4. The acceleration last 2 seconds.arrow_forwardI wanted to know how to create plots like these in MATLAB. I belive they were called herpolhode plots.arrow_forward
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