If you indicate the exact real root of the nonlinear formula f（x ）=x³+2x-5 to four decimal points, calculate each approximation 0, 1, 2, 3, 4 using the secant method in the interval [1,2]. All results are marked up to four decisces.
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If you indicate the exact real root of the nonlinear formula f（x ）=x³+2x-5 to four decimal points, calculate each approximation 0, 1, 2, 3, 4 using the secant method in the interval [1,2]. All results are marked up to four decisces.
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- Need Unique Answer otherwise i will down vote If you indicate the exact real root of the nonlinear formula f（x ）=x³+2x-5 to four decimal points, calculate each approximation 0, 1, 2, 3, 4 using the secant method in the interval [1,2]. All results are marked up to four decisces.What is the value of x after the 5th iteration of performing fixed-point iteration on the equation f(x) = x3 –x – 2? (Use the equation where the root converges and use an initial guess of 1) Group of answer choices 1.2599 1.5206 1.5158 1.5213What is the value of x in the 4th iteration of performing fixed-point iteration on the equation f(x) = x3 –x – 2? (Use the equation where the root converges and use an initial guess of 1)Group of answer choices 1.5158 1.5288 1.2599 1.5211
- Write a computer program to evaluate the Taylor series expansion for cos(x) to evaluate theseries starting at x0 = 0 radian with h = 0·1 to x = 1 radian· Use one term, two terms, three termsand four terms of the series· Evaluate the error in each value and discuss the effect ofincrementally adding the terms to the series· Compare your results with the true solutionLet p=0.54617 and q=0.54601. Use four-digit to express p−q. Find the relative error of the previous part. If α and β are the roots of an equation, illustrate with an example howloss of significance can be avoided if two numbers are very close to each other.Use the dsolve() function to solve the differential equation 8Dy3(t) = cos(20t) + sin(2t) for initial conditions y(10) = 50, Dy(0) = 0, Dy2(0) = 0, and y(10) = 5, Dy(0) = 0, Dy2(0) = 3. Plot your solutions on a single figure as a solid curve for the first set initial conditions and a dotted curve fo rthe second set of initial conditions for time t = -10 to 20. Make sureu to label both axes and title your figure, and turn on the plotting legend. Set teh y-axis limits to [-150 200].
- You are given a third-degree polynomial function ?(?) as follows. ?(?) = ?3 − 43? + 42 ?0 = 2.4, ?1 = 1, ?2 = 3, ? = 90 Could you write the codes by using Pyhton 3 according to the questions in the picture which I uploded?In x and y how many different combinations are possible. Need correct answer otherwise dislikeSolve by Graphical Method Max z=2x+4y Subjected to 3x+4y<=6 2x+6y<=8
- Considering the function f(x) = x – cos(x), what is the value of x7 after performing fixed point iteration. Assume an initial guess of 1. Use the equation form that will seem fit according to the choices provided.Group of answer choices 0.72210 0.71537 0.76396 0.72236(Numerical analysis) Here’s a challenging problem for those who know a little calculus. The Newton-Raphson method can be used to find the roots of any equation y(x)=0. In this method, the (i+1)stapproximation,xi+1,toarootofy(x)=0 is given in terms of the ith approximation, xi, by the following formula, where y’ denotes the derivative of y(x) with respect to x: xi+1=xiy(xi)/y(xi) For example, if y(x)=3x2+2x2,theny(x)=6x+2 , and the roots are found by making a reasonable guess for a first approximation x1 and iterating by using this equation: xi+1=xi(3xi2+2xi2)/(6xi+2) a. Using the Newton-Raphson method, find the two roots of the equation 3x2+2x2=0. (Hint: There’s one positive root and one negative root.) b. Extend the program written for Exercise 6a so that it finds the roots of any function y(x)=0, when the function for y(x) and the derivative of y(x) are placed in the code.Choose one answer. For values of x close to zero, the sigmoid function σ(x) is Select one: a. additive b. non-convergent c. nonlinear d. approximately linear