Use any method to find the required root. The root of sin x-(1/3) x = 0...
Use bisection method to find the required root. The root of sin x-(1/3) x = 0 close to x = 2.2
Using the Bisection method, find an approximate root of the equation sin(x)=1/x that lies between x=1 and x=1.5 (in radians). Compute upto 5 iterations. Determine the approximate error in each iteration. Give the final answer in a tabular form.
Let f(x) = sin(x) + 2xe® Use the secant method for finding the root. Conduct two iterations to estimate the root of the above equation. Let us assume the initial guesses of the root as xo -0.55, X1 0.66 < Answer:
2. Find a root ofthe functionf(x)=cos(x) +sin(x)-2x2 to fourdeci mal places for!f(xn +1 )1< 0.001 and Ixn-1-Xnl0.001 for each of the following rootfinding methods and initial guesses: a) Newton's Method, for xo = 0.2. b) Secant Method, for x-,-0.2 and xo = 0.5. c) Considering the following fixed point problern for xo=0.2 cos(xn)sin(n) d) Write a code to approximate the root of f(x) for each a), b) andc 2. Find a root ofthe functionf(x)=cos(x) +sin(x)-2x2 to fourdeci mal places for!f(xn...
Use the Newton-Raphson method to find the root of f(x) = e-*(6 - 2x) - 1 Use an initial guess of xo = 1.2 and perform 3 iterations. For the N-R method: Xi+1 = x; - f(x;) f'(x;)
Let f(x) = sin(2) + 2xe Use the secant method for finding the root. Conduct two iterations to estimate the root of the above equation. Let us assume the initial guesses of the root as Xo = -0.55, x1 = 0.66 Answer:
[10 pts] Use Newton's method to approximate root x, of f(x)-x-5 assuming 0 [10 pts] Use Newton's method to approximate root x, of f(x)-x-5 assuming 0
need answer for #2, which is about arctan #1 Suppose we want to estimate sin (0.1) using the Taylor series of sin x at x = 0. (a) Find roughly a number of nonzero terms which are required to compute sin(0.1) to n decimals (you do not need to find the minimum number.) (b) Find such a number more accurately, i.e. find a smaller one, using any mathematical tech niques. You may want to use the fact related to Stirling's...
PLEASE explain and show work? 5. (30 points) Use the secant method to find a root of the following equation with two initial guesses xo 2.x1 1.8. Please show the first two iterations only. f(x) = 1-x + sin(x)
Find all solutions in the interval [0, 21). 2 sin ?x-3 sin x= -1 (Type an exact answer, using it as needed. Use a comma to separate