Use the False Position method to find a guess of the root of f(x) = cos(x2...

Use the False Position method to find a guess of the root of f(x) = cos(x2 ) with lower and upper bounds of 0 and 2, respectively. Then, narrow the interval and find a new guess of the root using False Position. What is your relative approximate error?

a. 8.47% answer

b. 12.45%

c. 0.112

d. 0.243

e. None of the above

Please provide complete solution how the answer is a

thumbs up for correct and neat solution! step by step!

Expert Solution

samet mamat answered 2 years ago

Using the bisection method, find the root of the following function: f(x)=cos(2x) - x Use the...

Using the bisection method, find the root of the following function: f(x)=cos(2x) - x Use the following initial values: xl=0 and xu=2 NOTE: Perform only 3 iterations.

Use false position method to find the root of ?(?) = −sin(? − 5) + ?...

Use false position method to find the root of ?(?) = −sin(? − 5) + ? with initial guesses of 0.2 and 1. Show up to three iterations and calculate the relative percent error ?? for each iteration possible? Show full details for at least one iteration to get full points. Also, if three significant figure accuracy is required, show if the value after third iteration is acceptable or not.

Use the Fixed-Point Iteration Method to find the root of f ( x ) = x...

Use the Fixed-Point Iteration Method to find the root of f ( x ) = x e^x/2 + 1.2 x - 5 in the interval [1,2].

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.

Use Newton's method to find the absolute maximum value of the function f(x) = 3x cos(x),...

Use Newton's method to find the absolute maximum value of the function f(x) = 3x cos(x), 0 ≤ x ≤ π; correct to six decimal places.

In Sciland code, use the Newton Method to find the root of f(x)=10-x^2 and tol =10^-5

Use f(x) = ?2x, g(x) = square root of x and h(x) = |x| to find...

Use f(x) = ?2x, g(x) = square root of x and h(x) = |x| to find and simplify expressions for the following functions and state the domain of each using interval notation. a . (h ? g ? f)(x) b. (h ? f ? g)(x) (g ? f ? h)(x)

The function F(x) = x2 - cos(π x) is defined on the interval 0 ≤ x...

The function F(x) = x2 - cos(π x) is defined on the interval 0 ≤ x ≤ 1 radians. Explain how the Intermediate Value Theorem shows that F(x) = 0 has a solution on the interval 0 < x < .

f(r,?) f(x,y) r(cos(?)) = x r(cos(2?)) = ? r(cos(3?)) = x3-3xy2/x2+y2 r(cos(4?)) = ? r(cos(5?)) =...

f(r,?) f(x,y) r(cos(?)) = x r(cos(2?)) = ? r(cos(3?)) = x3-3xy2/x2+y2 r(cos(4?)) = ? r(cos(5?)) = ? Please complete this table. I am having trouble converting functions from polar to cartesian in the three dimensional plane. I understand that x=rcos(?) and y=rsin(?) and r2 = x2 + y2 , but I am having trouble understanding how to apply these functions.

Use the bisection method to approximate the root of f(x)=x-cosx in the range [0.0,1.5]. Stop when...

Use the bisection method to approximate the root of f(x)=x-cosx in the range [0.0,1.5]. Stop when the error is less than 0.002%

Question