Uan Newton's method to calculator x for f(x) = 2x' + 8 pven that x =...
1. Determine the root of function f(x)= x+2x-2r-1 by using Newton's method with x=0.8 and error, e=0.005. 2. Use Newton's method to approximate the root for f(x) = -x-1. Do calculation in 4 decimal points. Letx=1 and error, E=0.005. 3. Given 7x)=x-2x2+x-3 Use Newton's method to estimate the root at 4 decimal points. Take initial value, Xo4. 4. Find the root of f(x)=x2-9x+1 accurate to 3 decimal points. Use Newton's method with initial value, X=2
tos .J 7 Formulate the Newton's method for +2x y+2z J&z=-F).
Use a calculator or program to compute the first 10 iterations of Newton's method for the given function and initial approximation. f(x) = 2 sinx-5x - 1, Xo = 1.3 Complete the table. (Do not round until the final answer. Then round to six decimal places as needed.) K хк k XK 1 6 2 7 3 8 4 9 5 10
Use a calculator or program to compute the first 10 iterations of Newton's method for the given function and initial approximation. f(x)= 5 sinx- 4x-1, Xo = 1.9 Complete the table. (Do not round until the final answer. Then round to six decimal places as needed.) k хк XK 1 K 6 2 7 3 8 4 9 5 10
3. Newton's method Let f:R → R be given by f(x):= { x - a3, where a € R is a constant. The minimizer is obviously * = a. Suppose that we apply Newton's method to the following problem: minimize f(x):= |x — a als from an initial point 2" ER {a}. (a) (3 points) Write down f'(x) and F"(x). You need to consider two cases: < > a and x <a. (b) (2 points) Write down the update equation...
need help with 28,29,30 Write the formula for Newton's method and use the given initial approximation to compute the approximations X1 and x2. Round to six decimal places. 28) f(x) = e-x-ixo = In 4 Use a calculator to compute the first 10 iterations of Newton's method when applied to the function with the given initial approximation. Make a table for the values. Round to six decimal places. 29) f(x) = 3x - cos x; x0 = 1 Use Newton's...
Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your answers as a comma-separated list.) x4 = 3 + x x = Find f. f ''(x) = 4 − 12x, f(0) = 6, f(2) = 10 f(x) Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→−∞ x + x2 + 2x
Can someone help me? I am not very familiar with the Newton method. The figure shows the graph of a function f. Suppose that Newton's method is used to approximate the root s of the equation f(x)- 0 with initial approximationx-6. 이 (a) Draw the tangent lines that are used to find x2 and x3, and estimate the numerical values of x2 and x3. (Round your answers to one decimal place.) x2 = x3 = The figure shows the graph...
[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
Apply Newton's Method to approximate the x-value(s) of the indicated point(s) of intersection of the two graphs. Continue the iterations until two successive approximations differ by less than 0.001. [Hint: Let h(x) = f(x) − g(x).] f(x) = 2x + 2 g(x) = x + 10 find x please Apply Newton's Method to approximate the x-value(s) of the indicated point(s) of intersection of the two graphs. Continue the iterations until two successive approximations differ by less than 0.001. (Hint: Let...