Special Problems (you must write your own python programs for each of these): SP1: The equation 1.2x + 2x2 - 20x 10 0 has a root between x -4 and x -5. Use these values for the initial two points, use the secant method to obtain a root with Es = Lx10-7
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- // Description: Write a program that outputs a root of a given function f(x) by using a bi-section method. // f(x) = x3 + 5x2 +7x +2Tiling: The precondition to the problem is that you are given threeintegers n, i, j, where i and j are in the range 1 to 2n. You have a 2n by 2n squareboard of squares. You have a sufficient number of tiles each with the shape . Your goalis to place nonoverlapping tiles on the board to cover each of the 2n × 2n tiles except forthe single square at location i, j. Give a recursive algorithm for this problem in whichyou place one tile yourself and then have four friends help you. What is your base case?Library tion formula is a=(v_(2)-v_(1))/(t), Solve for v_(1).
- Need Python Solution Ramesh, Suresh, Mahesh, and Mukesh moved to a new town and searched for accommodations. Now this city is unlike any other city. This city is an apartment matrix and there are no roads. The only way to get around is through houses. If one of the friends passes the apartment once, the party will have to pay its full rent. From the apartment, you can go to the houses to the North, South, East, or West. Since Ramesh, Suresh, Mahesh, and Mukesh are best friends, they want to meet at least once a month. Also, all four are superstitious, so Ramesh goes West only, Suresh goes North only, Mahesh goes East only, and Mukesh goes South only. Any number of people can live in any apartment. The cost of all housing in the city is provided, some of which may be negligible. Negative costs mean that if a friend lives in or moves out of the apartment, the party will be paid an amount equal to the cost dispute. Now the goal of these four friends is to earn enough money to live in the…If A={8,12,16,20} and B={12,16,20,24,28}, what is the value of P (A and B)?Ex: Let A1 ={x, y}, A2 ={1, 2}, and A3 ={a, b}, Find A1 × A2, (A1 × A2) × A3, A1 × A2 × A3.
- 8. Given this code: //This a code to determine the root of a function //The function is (cosx+2)/3 #include #include float root(float); int main() { float a[100],b[100],c=100.0; int i=1,j=0; b[0]=(cos(0)-3*0+1); printf("\nEnter a beginning guess:\n"); scanf ("%f",&a[0]); while(c>0.00001) { a[j+1]=root(a[j]); c=a[j+1]-a[j]; c=fabs(c); //fabs = Absolute Value of Floating-Point Number j++; } printf("\n The root of the given function is %f",a[j]); } float root(float x) {SOLVE IN PYTHON A bracket is considered to be any one of the following characters: (, ), {, }, [, or ]. Two brackets are considered to be a matched pair if the an opening bracket (i.e., (, [, or {) occurs to the left of a closing bracket (i.e., ), ], or }) of the exact same type. There are three types of matched pairs of brackets: [],{},and ().A matching pair of brackets is not balanced if the set of brackets it encloses are not matched. For example, {[(])} is not balanced because the contents in between { and } are not balanced. Write a program that take string of bracket pairs from user and reply Yes or No after evaluate. Your program should working like This.{[()]} Yes{[(])} No{{[[(())]]}} YesHelp me solve this problem!: Method Skeletons and a Loop Roundup Practice these steps again and then solve the set of loop problems. These problems are more difficult than those in the previous lesson, so you'll need to take your time and work through each one step-by-step. Here is the link: https://codecheck.it/files/1906092225agosqgnp6wc7mwgcfpf6s4wky
- IN PYTHON: import numpy as npimport numpy.linalg as la def smallest_eig(A):"""Given a positive definite symmetric matrix A,calculates the smallest eigenvalue of A andthe corresponding eigevector by using the inverseiteration. You are not allowed to use numpy.linalg functionsfor calculating the eigenvalues. However, you can usenumpy linalg functions for solving linear equations andfor calculating norms. Output: a tuple (lam, x), where lam is the smallesteigenvalue and x is the corresponding eigenvector """n = A.shape[0]lam = 0x = np.random.randn(n)passreturn (lam, x)One way to put a list of people into teams is by counting off. For example, if the list of people is: ['paul', 'francois', 'andrew', 'sue', 'steve', 'arnold', 'tom', 'danny', 'nick', 'anna', 'dan', 'diane', 'michelle', 'jeremy', 'karen'] and the number of teams desired is four, then you assign the people to teams 0, 1, 2, 3, 0, 1, 2, 3, etc. like this: [['paul', 'steve', 'nick', 'michelle'], ['francois', 'arnold', 'anna', 'jeremy'], ['andrew', 'tom', 'dan', 'karen'], ['sue', 'danny', 'diane']] Write the code for the following function. Do not assume that the list of people will divide evenly into the desired number of teams. If the list of people does not divide evenly into the desired number of teams, the teams will simply have unequal sizes. Do not assume that the number of people is at least as large as the number of teams. If there aren't enough people to cover the teams, some (or even all) teams will simply be empty. Hint: The range function will be very helpful. def form_teams…Part 4. sum Method Define a method in simpy named sum. Its purpose is to compute and return the sum of all items in the values attribute. You are encouraged to use Python's built-in sum function to assist in the implementation of your sum method. Doing so is illustrative of a pattern called delegation, where the implementation of some algorithm is delegated to existing algorithm. It should take no arguments and return a float. ones = Simpy([1.0, 1.0, 1.0]) print("Actual: ", ones. sum(), Expected: 3.0") one_to_nine = Simpy([]) one_to_nine.arange(1.0, 10.0) print("Actual: ", one_to_nine.sum(), - Expected: 45.0") Python