5) Rewrite the pseudocode for Newton's method in the notes in C++, Java, or Python. Include the iterationslimit stopping criterion. Test it by using the same function, ƒ(x)= x³ + x − 1, initial guess, x = 0, andtolerance, 0.00005. In the next few exercises you will change these lines to find roots of different functions.Include your rewritten code in the HW you turn in.6-7) You do not need to include all of the code for these problems in the HW you turn in, as most of it will justbe the same as number 5. However, write down the first 5 to 8 lines (depending on the language used) thatdefine the function used, the initial guess, and the tolerance, along with the roots found in the end. For thefollowing equations,(a) using a graphing utility, graph the function and get three initial guesses, one for each root. They donot need to be integers necessarily.(b) modify your code from Exercise 5 (three times) to find the solutions to the equations to within 8decimal places. You may need to import a math library to evaluate some functions. If an initial guessgives you a root you already found, use a different initial guess visually closer to the root you're tryingto find.6) 2x² - 6x = 17) ex-2=x-x³

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include all of the code for these problems in the HW you turn in, as most of it will j 5. However, write down the first 5 to 8 lines (depending on the language used) that the initial guess, and the tolerance, along with the roots found in the end. For the ing utility, graph the function and get three initial guesses, one for each root. They tegers necessarily. code from Exercise 5 (three times) to find the solutions to the equations to within 8 You may need to import a math library to evaluate some functions. If an initial guess you already found, use a different initial guess visually closer to the root you're tryin

include all of the code for these problems in the HW you turn in, as most of it will j 5. However, write down the first 5 to 8 lines (depending on the language used) that the initial guess, and the tolerance, along with the roots found in the end. For the ing utility, graph the function and get three initial guesses, one for each root. They tegers necessarily. code from Exercise 5 (three times) to find the solutions to the equations to within 8 You may need to import a math library to evaluate some functions. If an initial guess you already found, use a different initial guess visually closer to the root you're tryin

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Let's revisit our first problem, where we want to set up a series of chess matches so we can rank six players in our class. As we did before, we will assume that everyone keeps their chess rating a private secret; however, when two players have a chess match, the person with the higher rating wins 100% of the time. But this time, we are only interested in identifying the BEST of these six players and the WORST of these six players. (We don't care about the relative ordering or ranking of the middle four players.) Your goal is to devise a comparison-based algorithm that is guaranteed to identify the player with the highest rating and the player with the lowest rating. Because you are very strong at Algorithm Design, you know how to do this in the most efficient way. Here are five statements. A. There exists an algorithm to solve this problem using 6 matches, but there does not exist an algorithm using only 5 matches. B. There exists an algorithm to solve this problem using 7 matches,…
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The two most recent operands are popped in the postfix expression evaluation example whenever an operator is met so that the subexpression may be evaluated. In the subexpression, the first operand popped is regarded as the second operand, and the second operand popped as the first. Give a case study that exemplifies the significance of this component of the solution.
Change two lines of code of: def solution(A, K): n = len(A) for i in range(n - 1): if (A[i] + 1 < A[i + 1]): return False if (A[0] != 1 and A[n - 1] != K): return False else: return True SO that it solves the question : you are given a implementation of a function def solution (A,K) This function, given a non-empty array A of N integers (sorted in non-decreasing order) and integer K, checks whether A contains numbers 1,2..K (every numbers from 1 to K at least once and no other numbers (for example given array A, K=3 ; A(0)=1, A(1)=1, A(2)=2, A(3)=3, A(4)=3 then the function should return True while for the following array A, K=2; A(0)=1, A(1)=1, A(2)=3 then the function should return False.) Assume that: -N and K are integers within the range (1....300,000) -each element of array A is an integer within the range (0...1,000,000,000) -array A is sorted in non-decreasing order
Please do the following question with the required python coding. Question is in the photo.
The support functions For the next few questions, we'll be working on finding the roots for the following quadratic equation: f(x)=x²-1.5 which has the derivative: f'(x)=2r Before we get started on the root-finding, however, you are to write two functions that will come in handy later: f(x), which takes a number or numpy array x and returns f(x) as defined above. f_prine(x), which takes a number or numpy array x and returns f'(x) as defined above. Paste these two functions into the answer box below. Note: Each function can easily be written using just a return statement. If you're doing more than this, you're probably overthinking it. For example: Test x = 2 print (f(x)) print(f_prine(x)) Result 2.5 4 Answer: (penalty regime: 0, 10, 20, ... %)
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Exercise 4B (1) Write a function which takes a list of the coefficients of a polynomial P(x) = ª₁ + ª₁x + a² + ….. +anxn of arbitrary degree n, and a value of x, and returns P(x). You can use the function given in lectures, ensuring you understand how it works. (2) Use the function to evaluate (a) P₁(x) = 4x4 + 3x² + 2 at x = 2. (b) P₂(x) = 2 — ¹x¹ at x = √√/2. Are these answers exact? Explain why or why not. (Use a print statements to show the evaluation of your function, and answer the question in a comment.) (3) The power series for the sine function sin(x) is given by ∞ x2n+1 (2n + 1)! sin(x) = Σ(−1)”. n=0 = x 6 + x5 120 for all x. Use the first four terms in this series in the Horner evaluation function at a suitable value of a to give an approximation of sin(π/4). (4) (a) Use your Horner's method function to evaluate the polynomial (x − 1)³ at the point x = 1.000001. (b) Is this answer correct? (c) Briefly explain why, or why not. (5) In week 3 we wrote a function to convert from…