Homework Answers
Numerical Analysis hr2 h 2 f(x) = a. x3. e-(0.1)x -- +4. x. In(x) – 1500...
Numerical Analysis
hr2 h 2 f(x) = a. x3. e-(0.1)x -- +4. x. In(x) – 1500 = 0 VX + 2 We want to find the root of the above equation. (In order to ease the reading, points are used between variables. Only the number above “e” is equal to “zero point one”.) b) If "a=1.5” and “b=0.8" at the above function, find the root between Xa=50 and Xu=70 using method of false position “Regula-Falsi” until Ea of approximation satisfies...
Consider the function f(x) = x3 – 2x2 + x Write the MATLAB code in the...
Consider the function f(x) = x3 – 2x2 + x Write the MATLAB code in the format of "script file" using "Regula Falsi Method" with the estimated relative error of 0.000001 and upload the script file. Direction: 1) Please submit"script file", NOT "function file". If you submit a function file, I will assign ZERO score. 2) You can find some matlab code for the Regula Falsi Method on a web or some books. You can use any code you can...
QUESTION 1 = = (a) Apart from x = 0 the equation f(x) 22 – 4...
QUESTION 1 = = (a) Apart from x = 0 the equation f(x) 22 – 4 sin r 0 has another root in (1, 2.5). Perform three iterations of the bisection method to approximate the root. State the accuracy of the root after the three iterations. (b) Perform three iterations of Newton's method for the function in (a) above, using x(0) = 1.5 as the initial solution. Compare the error from the Newton's approximation with that incurred for the same...
(1) Use the Bisection method to find solutions accurate to within 10-2 for x3 – 7x2...
(1) Use the Bisection method to find solutions accurate to within 10-2 for x3 – 7x2 + 14x – 6 = 0 on the interval [3.2, 4]. Using 4-digit rounding arithmatic. (2) Consider the function f(x) = cos X – X. (a). Approximate a root of f(x) using Fixed- point method accurate to within 10-2 . (b). Approximate a root of f(x) using Newton's method accurate to within 10-2. Find the second Taylor polynomial P2(x) for the function f(x) =...
In MATLAB please Consider the nonlinear function: y = f(x) = x3 cos x a. Plot...
In MATLAB please
Consider the nonlinear function: y = f(x) = x3 cos x a. Plot y as a function of x as x is varied between -67 and 67. In this plot mark all the locations of x where y = 0. Make sure to get all the roots in this range. You may need to zoom in to some areas of the plot. These locations are some of the roots of the above equation. b. Use the fzero...
this is numerical analysis QUESTION 1 (a) Apart from 1 = 0 the equation f(1) =...
this is numerical analysis
QUESTION 1 (a) Apart from 1 = 0 the equation f(1) = x2 - 4 sin r = 0 has another root in (1, 2.5). Perform three (10) iterations of the bisection method to approximate the root. State the accuracy of the root after the three iterations. (b) Perform three iterations of Newton's method for the function in (a) above, using x) = 1.5 as the initial (10) solution. Compare the error from the Newton's approximation...
QUESTION 1 (a) Apart from = 0 the equation f(t) = 12 - 4sin r =...
QUESTION 1 (a) Apart from = 0 the equation f(t) = 12 - 4sin r = 0 has another root in (1, 2.5). Perform three (10) iterations of the bisection method to approximate the root. State the accuracy of the root after the three iterations. (b) Perform three iterations of Newton's method for the function in (a) above, using x(0) = 1.5 as the initial (10) solution. Compare the error from the Newton's approximation with that incurred for the same...
Matlab Regula Falsi Method A zero of f(x) = x^2 -4x-12.2 is known to exist on...
Matlab Regula Falsi Method
A zero of f(x) = x^2 -4x-12.2 is known to exist on the interval
[1.2 , 2.2 , 3.2,...9.2] and respective right endpoints x1 =[2.2
,3.2, 4.2....10.2], find the sub-interval in which the zero exists.
Set the left endpoint of this sub-interval =a and the right
endpoint=b
With tolerance of 10^-9, use the Regular Falsi method to compute
the root of (f) in [a,b]
User input is required at #####
CONTENTS Close Courses LMS Integration Documentation...
Problem 6 Implement a MATLAB function bisection.m of the form bisection(a, b, f, p, t) function...
Problem 6 Implement a MATLAB function bisection.m of the form bisection(a, b, f, p, t) function [r, h] % a Beginning of interval [a, bl % b: End of interval [a, b] % f: function handle y f(x, p) % p: parameters to pass through to f % t: User-provided tolerance for interval width At each step j 1 to n, carefully choose m as in bisection with the geometric (watch out for zeroes!) Replace [a, b] by the smallest...
The equation f(x) = (1 ‐ x) cos x ‐ sin x = 0 has at...
The equation f(x) = (1 ‐ x) cos x ‐ sin x = 0 has at least one root between a = 0 and b = 1 since f(a)f(b) < 0. The bisection method of finding the root proceeds as follows: a. It finds the midpoint r = (a + b)/2. b. If f(r) = 0, then r is the root. If |b ‐ a| is very small less than ∈ then also we can take r as the root....
Numerical Analysis
hr2 h 2 f(x) = a. x3. e-(0.1)x -- +4. x. In(x) – 1500 = 0 VX + 2 We want to find the root of the above equation. (In order to ease the reading, points are used between variables. Only the number above “e” is equal to “zero point one”.) b) If "a=1.5” and “b=0.8" at the above function, find the root between Xa=50 and Xu=70 using method of false position “Regula-Falsi” until Ea of approximation satisfies...
Consider the function f(x) = x3 – 2x2 + x Write the MATLAB code in the format of "script file" using "Regula Falsi Method" with the estimated relative error of 0.000001 and upload the script file. Direction: 1) Please submit"script file", NOT "function file". If you submit a function file, I will assign ZERO score. 2) You can find some matlab code for the Regula Falsi Method on a web or some books. You can use any code you can...
QUESTION 1 = = (a) Apart from x = 0 the equation f(x) 22 – 4 sin r 0 has another root in (1, 2.5). Perform three iterations of the bisection method to approximate the root. State the accuracy of the root after the three iterations. (b) Perform three iterations of Newton's method for the function in (a) above, using x(0) = 1.5 as the initial solution. Compare the error from the Newton's approximation with that incurred for the same...
(1) Use the Bisection method to find solutions accurate to within 10-2 for x3 – 7x2 + 14x – 6 = 0 on the interval [3.2, 4]. Using 4-digit rounding arithmatic. (2) Consider the function f(x) = cos X – X. (a). Approximate a root of f(x) using Fixed- point method accurate to within 10-2 . (b). Approximate a root of f(x) using Newton's method accurate to within 10-2. Find the second Taylor polynomial P2(x) for the function f(x) =...
In MATLAB please
Consider the nonlinear function: y = f(x) = x3 cos x a. Plot y as a function of x as x is varied between -67 and 67. In this plot mark all the locations of x where y = 0. Make sure to get all the roots in this range. You may need to zoom in to some areas of the plot. These locations are some of the roots of the above equation. b. Use the fzero...
this is numerical analysis
QUESTION 1 (a) Apart from 1 = 0 the equation f(1) = x2 - 4 sin r = 0 has another root in (1, 2.5). Perform three (10) iterations of the bisection method to approximate the root. State the accuracy of the root after the three iterations. (b) Perform three iterations of Newton's method for the function in (a) above, using x) = 1.5 as the initial (10) solution. Compare the error from the Newton's approximation...
QUESTION 1 (a) Apart from = 0 the equation f(t) = 12 - 4sin r = 0 has another root in (1, 2.5). Perform three (10) iterations of the bisection method to approximate the root. State the accuracy of the root after the three iterations. (b) Perform three iterations of Newton's method for the function in (a) above, using x(0) = 1.5 as the initial (10) solution. Compare the error from the Newton's approximation with that incurred for the same...
Matlab Regula Falsi Method
A zero of f(x) = x^2 -4x-12.2 is known to exist on the interval
[1.2 , 2.2 , 3.2,...9.2] and respective right endpoints x1 =[2.2
,3.2, 4.2....10.2], find the sub-interval in which the zero exists.
Set the left endpoint of this sub-interval =a and the right
endpoint=b
With tolerance of 10^-9, use the Regular Falsi method to compute
the root of (f) in [a,b]
User input is required at #####
CONTENTS Close Courses LMS Integration Documentation...
Problem 6 Implement a MATLAB function bisection.m of the form bisection(a, b, f, p, t) function [r, h] % a Beginning of interval [a, bl % b: End of interval [a, b] % f: function handle y f(x, p) % p: parameters to pass through to f % t: User-provided tolerance for interval width At each step j 1 to n, carefully choose m as in bisection with the geometric (watch out for zeroes!) Replace [a, b] by the smallest...
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