Create program statements in Python that compute a vector of y values based on the following formulas: (a) y = (b) y= 6t³-3t-4 8 sin(5t) 3t-2 T t 0.1≤t ≤0.25 1≤t≤5 4t 2 where t is a vector of 10 values in the range prescribed. Create a plot of y versus t for each of the above.
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- Write Python Code Farmer John is worried for the health of his cows after an outbreak of the highly contagious bovine disease COWVID-19.In order to limit transmission of the disease, Farmer John's N cows ( 2<=N<=105) have decided to practice "social distancing" and spread themselves out across the farm. The farm is shaped like a 1D number line, with M mutually-disjoint intervals (1<=M<=105) in which there is grass for grazing. The cows want to locate themselves at distinct integer points, each covered in grass, so as to maximize the value of D, where D represents the distance between the closest pair of cows. Please help the cows determine the largest possible value of D. INPUT FORMAT (file socdist.in): The first line of input contains N and M. The next M lines each describe an interval in terms of two integers a and b, where 0<=a<=b<=1018. No two intervals overlap or touch at their endpoints. A cow standing on the endpoint of an interval counts as standing on…Need help in python. Problem: 2D random walk. A two dimensional random walk simulates the behavior of a particle moving in a grid of points. At each step, the random walker moves north, south, east, or west with probability 1/4, independently of previous moves. Compose a program that takes a command-line argument n and estimates how long it will take a random walker to hit the boundary of a 2n+1-by-2n+1 square centered at the starting point. //Given codeImport stdioImport randomImport sysn = int(sys.argv[1])//write code herestdio.write('The walker took ')stdio.write(c)stdio.writeln(' steps')Let A = {a, b, c} and B = {u, v}. Write a. A × B b. B × A
- 1. void Foo(int A[]) { 2. let c = A.size(); 3. for (i = 1 to c^2) { 4. Boo(i); 5. 6. j = c; 7. while (j> 1) { 8. } //end for print "hello"; 9. j=j/y; 10. }//end while 11.} If we are given that is a function whose asymptotic runtime is cubic in the input i.e. . What is the asymptotic run time of Воо Boo(n) = O(n³) FooPb#1: For several values of x, confirm that eix = cos x + i sin x Pb#2: An object thrown vertically with a speed vo reaches a height h at time t, where h= vo*t - gt2 Write and test a function that computes the time t required to reach a specified height h, for a given value of vo. The function's inputs should be h, vo, and g. Test your function for the case where h=100 m, vo=50 m/s. and g=9.81 m/s2. Interpret both answers. (MATLAB)use c++ program A positive integer n is called prime if n > 1 and the only factors of n are 1 and n. It is known that a positive integer n > 1 is prime if n is not divisible by any prime integer m≤√n . The 1230th prime number is 10,007. Let t be an integer such that 2 ≤ t ≤ 100,000,000. Then t is prime if either t is equal to one of the first 1,230 prime numbers or t is not divisible by any of the first 1,230 prime numbers. Write a program that declares an array of size 1,230 and stores the first 1,230 prime numbers in this array. The program then uses the first 1,230 prime numbers to determine if a number between 2 and 100,000,000 is prime. If a number is not prime, then output at least one of its prime factors.
- Exercise 2: In probability theory, one problem that often arises is determining the number of ways in which p objects can be selected from n distinct objects without regard to the order in which they are selected. Such selections are called combinations. The number of combinations of p objects from a set with n objects is C (n, p) and is given by: п! С(п, р) — (п- р)! * p! Write a Python program which will calculate and display on the screen the number of possible combination C based on the values of n and p; where both n and p are positive integers less than 21 and n >p. Implement and use at least the following three functions: fact(.): A function when passed a positive integer value, will calculate and return the factorial of that number. comb(..): A function when passed n and p (n: total number of objects and p: number of objects taken at a time) will calculate and return the total number of possible combinations (using the formula above). It calls function fact.) main(..): reads…python In order to beat AlphaZero, Grandmaster Hikaru is improving her chess calculation skills.Today, Hikaru took a big chessboard with N rows (numbered 1 through N) and N columns (numbered 1 through N). Let's denote the square in row r and column c of the chessboard by (r,c). Hikaru wants to place some rooks on the chessboard in such a way that the following conditions are satisfied:• Each square of the board contains at most one rook.• There are no four rooks forming a rectangle. Formally, there should not be any four valid integers r1, c1, r2, c2 (≠r2,c1≠c2) such that there are rooks on squares (r1,c1), (r1,c2 (r2,c1)and (r2,c2).• The number of rooks is at least 8N.Help Hikaru find a possible distribution of rooks. If there are multiple solutions, you may find any one. It is guaranteed that under the given constraints, a solution always exists.InputThe first line of the input contains a single integer T denoting the number of test cases. The first and only line of each test case…code in java pls Summary: Given integer values for red, green, and blue, subtract the gray from each value. Computers represent color by combining the sub-colors red, green, and blue (rgb). Each sub-color's value can range from 0 to 255. Thus (255, 0, 0) is bright red, (130, 0, 130) is a medium purple, (0, 0, 0) is black, (255, 255, 255) is white, and (40, 40, 40) is a dark gray. (130, 50, 130) is a faded purple, due to the (50, 50, 50) gray part. (In other words, equal amounts of red, green, blue yield gray). Given values for red, green, and blue, remove the gray part. Ex: If the input is: 130 50 130 the output is: 80 0 80 Find the smallest value, and then subtract it from all three values, thus removing the gray.
- 5. Given # > 3 points P₁ = (x₁, y₁), …….‚ P₂ = (x₂‹ Yn) in the coordinate plane, design an algorithm to check whether all the points lie within a triangle with its vertices at three of the points given. (You can either design an algorithm from scratch or reduce the problem to another one with a known algorithm.)Python code that calculates the eigenvalues and eigenvectors of a matrix using the numpy linalg package. As illustrated in the code below, it returns the eigenvalues and eigenvectors as one eigenvector per column of a matrix. The matrix A's eigenvalues are included in the vector w, and the matrix V has one eigenvector per column. Eigenvalues for the given matrix A are 2, 1, and 4, and we can see that the determinant of A equals the product of these values and the trace of A equals the sum of these values.***python only *** Write a function that takes two parameters, a and b, both are strings taken from "SCISSORS", "PAPER", or "ROCK, and returns True if a wins over b according to the rules of theScissors-Paper-Rock game; False, otherwise. For example, when a is "SCISSORS" and b is "PAPER", the function should return True.