use muller's method to find the roots of the equation f(x) = sin x - x/2...

use muller's method to find the roots of the equation f(x) = sin x - x/2 =0 near x=2

Expert Solution

Colby Messinger answered 2 years ago

Implement in MATLAB the Newton-Raphson method to find the roots of the following functions. (a) f(x)...

Implement in MATLAB the Newton-Raphson method to find the roots of the following functions. (a) f(x) = x 3 + 3x 2 – 5x + 2 (b) f(x) = x2 – exp(0.5x) Define these functions and their derivatives using the @ symbol. For example, the function of part (a) should be f=@(x)x^3 + 3*x.^2 - 5*x + 2, and its derivative should be f_prime=@(x)3*x.^2 + 6*x - 5. For each function, use three initial values for x (choose between -10...

If f(x)=2x^2−5x+3, find f'(−4). Use this to find the equation of the tangent line to the...

If f(x)=2x^2−5x+3, find f'(−4). Use this to find the equation of the tangent line to the parabola y=2x^2−5x+3 at the point (−4,55). The equation of this tangent line can be written in the form y=mx+b where m is: ???? and where b is: ????

(a) Find the Riemann sum for f(x) = 4 sin(x), 0 ≤ x ≤ 3π/2, with...

(a) Find the Riemann sum for f(x) = 4 sin(x), 0 ≤ x ≤ 3π/2, with six terms, taking the sample points to be right endpoints. (Round your answers to six decimal places.) R6 = (b) Repeat part (a) with midpoints as the sample points. M6 = If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m(b...

Find an equation of the tangent plane to the graph of f(x, y)=sin(x3y2) at point (4,...

Find an equation of the tangent plane to the graph of f(x, y)=sin(x3y2) at point (4, 2).

Use the secant Method to find a root for the function: f(x) = x^3 + 2x^2...

Use the secant Method to find a root for the function: f(x) = x^3 + 2x^2 + 10x -20, with x_0 = 2, and x_1 = 1.

find the line tangent to graph of f(x) at x=0 1) f(x)=sin(x^2+x) 2)f(x)=e^2x+x+1

Consider the function on the interval (0, 2π). f(x) = sin(x)/ 2 + (cos(x))^2 (a) Find...

Consider the function on the interval (0, 2π). f(x) = sin(x)/ 2 + (cos(x))^2 (a) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) increasing decreasing (b) Apply the First Derivative Test to identify the relative extrema. relative maximum (x, y) = relative minimum (x, y) =

Use Newton's method to find all real roots of the equation correct to six decimal places....

Use Newton's method to find all real roots of the equation correct to six decimal places. (Enter your answers as a comma-separated list.) 8/x = 1 + x^3

Consider the function on the interval (0, 2π). f(x) = sin(x) cos(x) + 2 (a) Find...

Consider the function on the interval (0, 2π). f(x) = sin(x) cos(x) + 2 (a) Find the open interval(s) on which the function is increasing or decreasing. (Enter your answers using interval notation.) increasing ( ) decreasing ( ) (b) Apply the First Derivative Test to identify all relative extrema. relative maxima (x, y) = (smaller x-value) (x, y) = ( ) (larger x-value) relative minima (x, y) = (smaller x-value) (x, y) = ...

Use Bisection and Newton Raphson methods to find roof for the following equation manually. F(x)=x^2 –...

Use Bisection and Newton Raphson methods to find roof for the following equation manually. F(x)=x^2 – 5 = 0 ε = 0.01

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