Write a python code of a function that takes in four points in a counterclockwise order, a, b, c, d and return true if the quadrilateral is convex and false if it is nonconvex. Only the edges ac or bd are flippable.
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Write a python code of a function that takes in four points in a counterclockwise order, a, b, c, d and return true if the quadrilateral is convex and false if it is nonconvex. Only the edges ac or bd are flippable.
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- Write a program that generates a 6-by-6 two-dimensionalmatrix filled with 0s and 1s, displays the matrix, and checks if every row andevery column have an even number of 1s.IN PYTHON A tridiagonal matrix is one where the only nonzero elements are the ones on the main diagonal and the ones immediately above and below it.Write a function that solves a linear system whose coefficient matrix is tridiag- onal. In this case, Gauss elimination can be made much more efficient because most elements are already zero and don't need to be modified or added. As an example, consider a linear system Ax = b with 100,000 unknowns and the same number of equations. The coefficient matrix A is tridiagonal, with all elements on the main diagonal equal to 3 and all elements on the diagonals above and below it equal to 1. The vector of constant terms b contains all ones, except that the first and last elements are zero. You can use td to find that x1= −0.10557. The following code format should help: def td(l, m, u, b): '''Solve a linear system Ax = b where A is tridiagonal Inputs: l, lower diagonal of A, n-1 vector m, main diagonal of A, n vector u,…Write a Python function that takes in three parameters - an adjacency matrix of a simple directed graph, a start node, and an end node; and returns "True" if there is a way to get from the start node to the end node using the provided edges. You can use this file as a starter code: path.py ↓ For example: Using the same graph given above. Consider your function with the same adjacency matrix given above as input and: If the start node is 1 and the end node is 4 then your function should return True. If the start node is 2 and the end node is 4 then your function should return False. Input: This function will have three parameters. First is an adjacency matrix in the form of a list of lists (as given above). Then the start_node and the end_node will be integers. Note that python indexing starts from 0 and not from 1, so the naming of the nodes will also follow the python convention and start from 0 instead of 1. Output: Boolean value: True or False.
- Although the plot function is designed primarily for plotting standard xy graphs, it can be adapted for other kinds of plotting as well. b. Make a plot of the curve, which is defined parametrically by the equations x = 2cosθ + cos2θ, y = 2sinθ - sin2θ, where 0 < θ < 2π. Take a set of values of θ between zero and 2π and calculate x and y for each from the equations above, then plot y as a function of x. b. Taking this approach a step further, one can make a polar plot r = f(θ) for some function f by calculating r for a range of values of θ and then converting r and θ to Cartesian coordinates using the standard equations x = r cosθ, y = r sinθ. Use this method to make a plot of the function r = ecosθ – 2 cos(4θ) + sin5 (θ/12) in the range 0 <= θ <= 24π. use python code to answer the highlight oneA robot moves in a 2D lattice. The robot can only move north (N), south (S), east (E), and west (W) by a certain number of steps. Assume that the robot always starts at (0,0), and that the x axis is oriented east, while the y axis is oriented north. Write a Python function that, given a set of moves, calculates the final position of the robot. For example, if the set of moves provided as input is: N 2 E 4 S 1 W 3 then the final position of the robot is (1,1). The integer that follows a move is always positive. Follow this code skeleton: def robot_move (moves): X = 0 y = 0 # your code here return (x,y) The moves are provided as an array of tuples. The array can have any number of moves in any order. The example above is passed as input as follows: [('N',2), ('E',4), ('S',1), ('W',3)]Write a program in Matplotlib to plot the function sin(x). Execute the program and show its result
- The coordinates of a polygon can be represented as a list of tuples: [(x1, y1), (x2, y2), .., (xn, yn)], where (x1, y1), ., (xn, yn) are points of the polygon in a counterclockwise order. Find the area of such a polygon using using shoelace formula. It is no longer required to take absolute value. п-1 п—1 A = > xi+1Yi ) – x1Yn i=1 i=1 1 x142 + x2Y3 + + xn-1Yn + xnY1 - x2y1 – X3Y2 – ··- xn Yn-1 – x1Yn| >>> area ([(0,0), (1,0), (0,1)]) 0.5 >>> area ([(0,0), (1,0),(1,1),(0,1)]) 1.0 >> area([(0,0),(2,0), (2,2),(1,2), (0,1)]) 3.5 Write the function area(C) to find the area of a triangle with vertices at c = [(x1, y1), (x2, y2),..., (xn, yn)].Program a simplified Galton board in python. It is required that: The user must select the number of rows n of the board The distribution resulting from dropping the beads should be displayed on the screen. Display an animation where the number of rows n increases over time.All resulting distributions must be scaled to the interval [0, 1], so that it is possible toappreciate the convergence to the normal distribution. Consider n from 1 to 80.Write a program that can inverse a matrix by using an approach to find its minor, cofactor and adjugate matrix. Test your program with the given matrix ? Please provide in Python program
- An approximation to the integral of a function f(x) over an interval [a, b] can be found by first approximating f(x) by the straight line that goes through the end points (a, f(a)) and (b, f(b)), and then finding the area under the straight line, which is the area of a trapezoid. Write a function trapezint(f, a, b) that returns this approximation to the integral. Test your code by integrating cos(x) and sin(x) from 0 to π.Write a java program to find the area of rhombus after taking its diagonals from userWrite a Python-3 user-defined function C(N) that returns an 1D array containing the coefficients of the Trapezoidal Rule (float values). N is the number of intervals splitting the total area under the curve. Please notice that the size of the resulting array of coefficients is N+1. Where Ciare integer coefficients: Co = Cn = 1 and C₁ = 2 for i=1,2,..., (n-1), then 1 = /h(fo + 2f₁ + 2ƒ₂ + ... + 2fn-1 + fn) Equation-2b This is just a simplified expression for the sum of n trapeziums in which the area under the curve is divided.