Problem 19. Double numerical integration is the application twice of a numerical integration method for single integration, once for the y direc- tion and another for the r direction. Any numerical integration method for single integration can be applied to double integration. Write a C++ program that applies Simpson's 1/3 rule to find the double integral rb%3D3 rv3+exp(z/5) I = a=1 sin(x + y)dy ) dr. y=In(z)
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- Python solves. For a building project, a civil engineer needs 4800, 5810, and 5690 m3 of sand, fine gravel, and coarse gravel. Three pits supply these resources. Pit composition is Sand% 52 20 25 30 50 20 Coarse Gravel 18-30-55% The engineer requires how many cubic metres from each pit? Use Python. Form linear algebraic equations first.Q.) Do given c and d problem belowUsing MATLAB, develop a computer program for the finite difference solution with general θ scheme for the 1D consolidation of a uniform layer of soil. Compare the results for θ=0, 0.5, 2/3 and 1.0 for α=0.49 and α=0.51 against the analytical solution of Terzaghi’s equation for T=0.5. Apply the program to both cases of double draining layer and single draining layer.
- Solve the following C++ program.Develop a c++ program that calculates and plots the Fourier series of the following function:f(t)={2 0<t<3 T=6 -2 -3<t<0 List the coefficients and graph of the first terms of the series up to n=104. Look up the Pythagorean theorem if you are not already familiar with it. Use the following formula to solve for c in the formula: c = √a2 + b2. Use the proper functions from the cmath header file. Be sure to output the result..
- SOLVE IN PYTHON PYTHON NOT MATLAAAB PLEASEWrite a function that finds the period of the fundamental mode of oscillation for a shear building where the masses of each floor and the stiffnesses of each story are all the same . For example, for a 8-story shear building where each floor is 1200 kg and the stiffness between each floor is 10 5 N/m, the period of the fundamental mode would be 3.73 s. def sb(m, k, n): '''Find the period of fundamental mode of oscillation for an n-story shear building model with all masses equal to m and all stiffnesses equal to k. Example: if m = 1000, k = 10000, n = 3, then fm = 4.46'''I don't need a code for these questions. I just need them answered Nine steel specimens were submerged in seawater at various temperatures, and the corrosion rates were measured. The results are presented in the following table:Temperature (OC)Corrosion(mm/yr.)26.6 1.5826 1.4527.4 1.1321.7 0.9614.9 0.9911.3 1.0515 0.828.7 0.688.2 0.59a. Construct a scatterplot of corrosion (y) vs. temperature (x). Verify that a linear model is appropriate.b. What is the least-square line (trendline/regression line) for predicting corrosion from temperature?c. Two steel specimens whose temperatures differ by 10OC are submerged in seawater. By how much would you predict their corrosion rates differ?d. Predict the corrosion rate for steel submerged in seawater at a temperature of 20OC.e. Construct a table with predicted values from the original dataset.f. Compute the residuals. Which point has the residual with the largest magnitude?g. What is the correlation between temperature and corrosion rate? What…Problem 2. write a C++ function that determine whether 2p − 1 is prime for each of the primes not exceeding 100.
- 3. The diagram below shows the main land routes for vehicular traffic between points A and G in a city. The figures in the arcs represent the cost of traveling between each pair of nodes. a) Manually apply Dijkstra's algorithm to find the cheapest route between A and G (visited nodes and total distance). b) Formulate a linear programming problem in extended form, to determine the shortest route to travel from A to G. Do not use subscripts, name 14 variables, for example XFE would be the variable that indicates that the arc from F to E is used. c) If there is a fixed cost for visiting each node, modify the formulation of the problem to include said fixed cost in the objective function, and the variables and restrictions that are required. NODE A B C D E F G FIXED COST 25 18 32 20 28 18 341)Write a computer program for Gauss elimination method using C programming language. Decide the number of significant figures yourselves. While writing your program, consider the effects of the number of significant figures, pivoting, scaling and do not forget to check if the system is ill conditioned.SOLVE IN PYTHON Write a function that finds the period of the fundamental mode of oscillation for a shear building where the masses of each floor and the stiffnesses of each story are all the same . For example, for a 8-story shear building where each floor is 1200 kg and the stiffness between each floor is 10 5 N/m, the period of the fundamental mode would be 3.73 s. def sb(m, k, n): '''Find the period of fundamental mode of oscillation for an n-story shear building model with all masses equal to m and all stiffnesses equal to k. Example: if m = 1000, k = 10000, n = 3, then fm = 4.46'''