Bisection Method Algorithm and Flowchart. Bisection method is used to find the real roots of a nonlinear equation. The process is based on the ‘ Intermediate Value Theorem ‘. According to the theorem “If a function f(x)=0 is continuous in an interval (a,b), such that f(a) and f(b) are of opposite nature or opposite signs. Newton Raphson Method Pseudocode. Earlier in Newton Raphson Method Algorithm, we discussed about an algorithm for computing real root of non-linear equation using Newton Raphson Method. In this tutorial we are going to develop pseudocode for this method so that it will be easy while implementing using programming language. ![]() Pseudocode, the Bisection method, and the Newton-Raphson method are the basis of this assignment. You are working for DOWN THE TOILET COMPANY that makes floats for ABC commodes. The floating ball has a specific gravity Gs of 0.6 and has a radius R of 5.5 cm. You are asked to find the depth to which the ball is submerged when floating in water. Water The equation that gives the depth x (unit of x is meters) to which the ball is submerged under water when floating is given by Problem 1: Problem formulation and analytical exploration Using you knowledge of physics and calculus, derive the equation needed to solve this problem in terms of x, R, and Gs, when G.-0.6 and R = 0.055 m, verify that the equation you have derived leads to the equation below. 1) f(x) = x3-0.165x-+ 3.993 x 10-4-0 2) When Gs0.6, discuss the possible range of the solution x in terms of R using the knowledge of the physics of the problem. Which interval would x be in, [O, R] or [R,2R]? How about possible intervals| 0,,, RI, IR,-,, 2RI? With the above discussion, how would you choose the initial bracket if you were to solve the problem using the bisection method? How would you choose the initial guess if you were to solve the problem using Newton-Raphson method? Possible intervals Show transcribed image text. Pseudocode, the Bisection method, and the Newton-Raphson method are the basis of this assignment. You are working for DOWN THE TOILET COMPANY that makes floats for ABC commodes. The floating ball has a specific gravity Gs of 0.6 and has a radius R of 5.5 cm. You are asked to find the depth to which the ball is submerged when floating in water. Water The equation that gives the depth x (unit of x is meters) to which the ball is submerged under water when floating is given by Problem 1: Problem formulation and analytical exploration Using you knowledge of physics and calculus, derive the equation needed to solve this problem in terms of x, R, and Gs, when G.-0.6 and R = 0.055 m, verify that the equation you have derived leads to the equation below. 1) f(x) = x3-0.165x-+ 3.993 x 10-4-0 2) When Gs0.6, discuss the possible range of the solution x in terms of R using the knowledge of the physics of the problem. Which interval would x be in, [O, R] or [R,2R]? How about possible intervals| 0,,, RI, IR,-,, 2RI? With the above discussion, how would you choose the initial bracket if you were to solve the problem using the bisection method? How would you choose the initial guess if you were to solve the problem using Newton-Raphson method? Simpsons Hit and Run was my FAVORITE GAME from my CHILDHOOD I REALLY want to play MORE, If we reach 15,000 LIKES ILL PLAY MORE!!! The simpsons hit & run. We are a family not enemies, Someone who watches MessYourself too are your friends. Comment on what was your favorite childhood game:) ------------------------------------------------------------------------------------------ Twitter ► Facebook ► Instagram ► Twitch ► SnapChat ►xmessyourself ------------------------------------------------------------------------------------------ Please treat the comment section with respect. Possible intervals.
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