question1. Newton's method, test your implementation using several inputs, pick an f(x ), use python to do this. question 2. Implement the least square method using gradient descend algorithm use python and do the graph use this equation |Ax - bl.
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- dp Mg %3D dy RT Dependency of pressure with height EQUATION M=29 g=9.82 R=8.31 P=10 Write the python code that solves the differential equation with euler, heun and midpoint method and shows the solution curve of the 3 methods on a single graph Show transcribed image textProgramming with Python: v Implement Depth First Search (Traversal) v Implement Breadth First Traversal For the implementation: 1. Create a directed graph with 10 Vertices 2. Add arbitrary edges among vertices to satisfy the directed graph 3. Run your program and show appropriate output (Traversal order) 4. Your implementation should be fully commented Please, submit your source code and output (Screen Capture) too.(B3). Implement Dijkstra's algorithm on an undirected graph. The input file would contain (1) the pair of source and destination "u v" in the first row, and (2) the edge list with the associated weight (of type double) for each edge in the graph. Output the sequence of nodes that are on the shortest path from "u" to "v" with the total weight. Provide your own test cases. Turn in your code and test cases (i.e., ".java" or ".c/.cpp" and test files) only. Note: RECURSION is NOT allowed at all. Your implementation can only contain iterative methods.
- 1. Visualize the function graph with Python and find points where the curve intersects the X axis. 2. Find roots of an equation using a Python implementation the fixed-point iterations method. Note: Functions in tasks 1 and 2 are the same. So, the function graph built in task 1 can help with defining an initial point for the fixed-point iteration method. 3. Resolve the system of linear algebraic equations using the Python Numpy library. 4. Approximate the definite integral using the Scipy Python library. |x- sin x dx1. Visualize the function graph with Python and find points where the curve intersects the X axis. 2. Find roots of an equation using a Python implementation the fixed-point iterations method. Note: Functions in tasks 1 and 2 are the same. So, the function graph built in task 1 can help with defining an initial point for the fixed-point iteration method. 3. Resolve the system of linear algebraic equations using the Python Numpy library. 4. Approximate the definite integral using the Scipy Python library. X = x = V3x –1 УЗх — -Write a program for calculating these roots and for graphing them as points on the unit circle. Apply the program to z^n = 1 with n = 2,3...,10. Then extend the program to one for arbitrary roots, using an idea near the end of the text, and apply the program to examples of your choice. PLEASE SHOW THE STEP-BY STEP SOLUTION WITH EXPLANATION
- a. Plot the function f(x)=x2-2x-3. [ -1,3]b. Title of the graph “The graph f(x)=x2-2x-3. “c. Sample as much as possible points to make the graph smooth.d. Label x (x-axis) and y (y- axis) using syntax command USE MATLAB CODE ONLYWrite a complete C++ program that implements the Breadth First Search (BFS) Algorithm (Chapter 22). Your final submitted code and report should include some sample results that demonstrate that your code is successfully and correctly working. You need to present 3 samples. - You must ask the user to enter the number of vertices n for your graph, and go over the source vertices or nodes in numerical or alphabetical order. - Based on the number of vertices, randomly generate the edges. - Assume you are using the Adjacency Matrix to represent your graph. Assume you have an un-directed graph. Make sure that you ask the user to enter the number of vertices, Fixed number of vertices is not accepted. Use numeric numbers to name the vertices. Based on the number of vertices entered by the user, randomly generate the edges connected the vertices. Assume that you only allow undirected edges or undirected graph. Apply the BFS algorithm on the generated graph. Organize the resulted BFS Tree in a…Write a complete C++ program that implements the Breadth First Search (BFS) Algorithm (Chapter 22). Your final submitted code and report should include some sample results that demonstrate that your code is successfully and correctly working. You need to present 3 samples. - You must ask the user to enter the number of vertices n for your graph, and go over the source vertices or nodes in numerical or alphabetical order. - Based on the number of vertices, randomly generate the edges. - Assume you are using the Adjacency Matrix to represent your graph. Assume you have an un-directed graph. Make sure that you ask the user to enter the number of vertices, Fixed number of vertices is not accepted. Use numeric numbers to name the vertices. Based on the number of vertices entered by the user, randomly generate the edges connected the vertices. Assume that you only allow undirected edges or undirected graph. Apply the BFS algorithm on the generated graph. Organize the resulted BFS Tree in a…
- Write a complete C++ program that implements the Breadth First Search (BFS) Algorithm (Chapter 22). Your final submitted code and report should include some sample results that demonstrate that your code is successfully and correctly working. You need to present 3 samples. - You must ask the user to enter the number of vertices n for your graph, and go over the source vertices or nodes in numerical or alphabetical order. - Based on the number of vertices, randomly generate the edges. - Assume you are using the Adjacency Matrix to represent your graph. Assume you have an un-directed graph. Make sure that you ask the user to enter the number of vertices, Fixed number of vertices is not accepted. Use numeric numbers to name the vertices. Based on the number of vertices entered by the user, randomly generate the edges connected the vertices. Assume that you only allow undirected edges or undirected graph. Apply the BFS algorithm on the generated graph. Organize the resulted BFS…Write a complete C++ program that implements the Breadth First Search (BFS) Algorithm (Chapter 22). Your final submitted code and report should include some sample results that demonstrate that your code is successfully and correctly working. You need to present 3 samples. - You must ask the user to enter the number of vertices n for your graph, and go over the source vertices or nodes in numerical or alphabetical order. - Based on the number of vertices, randomly generate the edges. - Assume you are using the Adjacency Matrix to represent your graph. Assume you have an un-directed graph. Make sure that you ask the user to enter the number of vertices, Fixed number of vertices is not accepted. Use numeric numbers to name the vertices. Based on the number of vertices entered by the user, randomly generate the edges connected the vertices. Assume that you only allow undirected edges or undirected graph. Apply the BFS algorithm on the generated graph. Organize the resulted BFS…Write a complete C++ program that implements the Breadth First Search (BFS) Algorithm (Chapter 22). Your final submitted code and report should include some sample results that demonstrate that your code is successfully and correctly working. You need to present 3 samples. - You must ask the user to enter the number of vertices n for your graph, and go over the source vertices or nodes in numerical or alphabetical order. - Based on the number of vertices, randomly generate the edges. - Assume you are using the Adjacency Matrix to represent your graph. Assume you have an un-directed graph. Make sure that you ask the user to enter the number of vertices, Fixed number of vertices is not accepted. Use numeric numbers to name the vertices. Based on the number of vertices entered by the user, randomly generate the edges connected the vertices. Assume that you only allow undirected edges or undirected graph. Apply the BFS algorithm on the generated graph. Organize the resulted BFS…