Homework Answers
Add Answer to:
Determine the point of intersection between y-x3-2x+1 and y-x2 a) Use bisection to initialize the...
Not in C++, only C code please In class, we have studied the bisection method for...
Not in C++, only C code please
In class, we have studied the bisection method for finding a root of an equation. Another method for finding a root, Newton's method, usually converges to a solution even faster than the bisection method, if it converges at all. Newton's method starts with an initial guess for a root, xo, and then generates successive approximate roots X1, X2, .... Xj, Xj+1, .... using the iterative formula: f(x;) X;+1 = x; - f'(x;) Where...
Estimate all of the zero of x3-x2-2x+1 graphically Use your code to refine the graphical estimates...
Estimate all of the zero of x3-x2-2x+1 graphically Use your code to refine the graphical estimates Hand in copies of your graph, your code for Newton's method and the command window where the functions were called
Problem 1 (20 pts) Consider the mathematical program max 3x1+x2 +3x3 s.t. 2x1 +x2 + x3 +x2 x1 + 2x2 + 3x3 +2xs 5 2x 2x2 +x3 +3x6-6 Xy X2, X3, X4, Xs, X620 Three feasible solutions ((a) through (c...
Problem 1 (20 pts) Consider the mathematical program max 3x1+x2 +3x3 s.t. 2x1 +x2 + x3 +x2 x1 + 2x2 + 3x3 +2xs 5 2x 2x2 +x3 +3x6-6 Xy X2, X3, X4, Xs, X620 Three feasible solutions ((a) through (c)) are listed below. (0.3, 0.1, 0.4, 0.9, 1.65, 1.6) (c) x Please choose one appropriate interior point from the list, and use the Karmarkar's Method at the interior point and determine the optimal solution. 25
Problem 1 (20 pts) Consider...
*3. Consider a function, f(x,y) = x3 + 3(y-1)2 . Starting from an initial point, X0 = [1 1] T , perform 2 iterations of...
*3. Consider a function, f(x,y) = x3 + 3(y-1)2 . Starting from an initial point, X0 = [1 1] T , perform 2 iterations of conjugate gradient method (also known as Fletcher-Reeves method) to minimize the above function. Also, please check for convergence after each iteration.
7 significant digits please + 2y2-10, the spherex-+ y2 + z2-5, and the plane x + 2y+ 3z- (1 point We can use Newton's method to estimate an intersection pont of the c inder 3x Collecting the equat...
7 significant digits please
+ 2y2-10, the spherex-+ y2 + z2-5, and the plane x + 2y+ 3z- (1 point We can use Newton's method to estimate an intersection pont of the c inder 3x Collecting the equations and putting them in standard form, we can write (v)-v -50,wherey Suppose we start with the initial guess o0 The Jacobian there is The function value is And v,-Vo -Jo fvo) is equal to
+ 2y2-10, the spherex-+ y2 + z2-5, and...
MATLAB QUESTION please include function codes inputed Problem 3 Determine the root (highest positive) of: F(x)=...
MATLAB QUESTION
please include function codes inputed
Problem 3 Determine the root (highest positive) of: F(x)= 0.95x.^3-5.9x.^2+10.9x-6; Note: Remember to compute the error Epsilon-a after each iteration. Use epsilon_$=0.01%. Part A Perform (hand calculation) 3 iterations of Newton's Raphson method to solve the equation. Use an initial guess of x0=3.5. Part B Write your own Matlab function to validate your results. Part C Compare the results of question 1 to the results of question 2, what is your conclusion ?
This is Matlab Problem and I'll attach problem1 and its answer for reference. We were unable...
This is Matlab Problem and I'll attach problem1 and its answer
for reference.
We were unable to transcribe this imageNewton's Method We have already seen the bisection method, which is an iterative root-finding method. The Newton Rhapson method (Newton's method) is another iterative root-finding method. The method is geometrically motivated and uses the derivative to find roots. It has the advantage that it is very fast (generally faster than bisection) and works on problems with double (repeated) roots, where the...
Newton's Method in MATLAB During this module, we are going to use Newton's method to compute...
Newton's Method in MATLAB During this module, we are going to use Newton's method to compute the root(s) of the function f(x) = x° + 3x² – 2x – 4 Since we need an initial approximation ('guess') of each root to use in Newton's method, let's plot the function f(x) to see many roots there are, and approximately where they lie. Exercise 1 Use MATLAB to create a plot of the function f(x) that clearly shows the locations of its...
Find a normal vector and an equation for the tangent plane to the surface: x3 - y2 - z2 - 2xyz + 6 =0 at the point P : (−2, 1, 3). Determine the equation of the line formed by the intersection of this...
Find a normal vector and an equation for the tangent plane to the surface: x3 - y2 - z2 - 2xyz + 6 =0 at the point P : (−2, 1, 3). Determine the equation of the line formed by the intersection of this plane with the plane x = 0. [10 marks] (b) Find the directional derivative of the function F(x, y, z) = 2x /zy2 , at the point P : (1, −1, −2) in the direction of...
Problem 1: Consider the following linear optimization problem: max +22 +rs subject to X1 + X2 + X3 = 10 2x1 - 22 24 i 20, 1,2,3. (a) Bring the problem to a standard form. (b) Show that the point (2,8...
Problem 1: Consider the following linear optimization problem: max +22 +rs subject to X1 + X2 + X3 = 10 2x1 - 22 24 i 20, 1,2,3. (a) Bring the problem to a standard form. (b) Show that the point (2,8,0)Ts optimal by the optimality condition of the linear program- ming. Is it an extreme point? Provide arguments for your answers. (c) Determine at least one other point different than (2,8,0)T, which is an extreme point of the constraint set...
Not in C++, only C code please
In class, we have studied the bisection method for finding a root of an equation. Another method for finding a root, Newton's method, usually converges to a solution even faster than the bisection method, if it converges at all. Newton's method starts with an initial guess for a root, xo, and then generates successive approximate roots X1, X2, .... Xj, Xj+1, .... using the iterative formula: f(x;) X;+1 = x; - f'(x;) Where...
Estimate all of the zero of x3-x2-2x+1 graphically Use your code to refine the graphical estimates Hand in copies of your graph, your code for Newton's method and the command window where the functions were called
Problem 1 (20 pts) Consider the mathematical program max 3x1+x2 +3x3 s.t. 2x1 +x2 + x3 +x2 x1 + 2x2 + 3x3 +2xs 5 2x 2x2 +x3 +3x6-6 Xy X2, X3, X4, Xs, X620 Three feasible solutions ((a) through (c)) are listed below. (0.3, 0.1, 0.4, 0.9, 1.65, 1.6) (c) x Please choose one appropriate interior point from the list, and use the Karmarkar's Method at the interior point and determine the optimal solution. 25
Problem 1 (20 pts) Consider...
7 significant digits please
+ 2y2-10, the spherex-+ y2 + z2-5, and the plane x + 2y+ 3z- (1 point We can use Newton's method to estimate an intersection pont of the c inder 3x Collecting the equations and putting them in standard form, we can write (v)-v -50,wherey Suppose we start with the initial guess o0 The Jacobian there is The function value is And v,-Vo -Jo fvo) is equal to
+ 2y2-10, the spherex-+ y2 + z2-5, and...
MATLAB QUESTION
please include function codes inputed
Problem 3 Determine the root (highest positive) of: F(x)= 0.95x.^3-5.9x.^2+10.9x-6; Note: Remember to compute the error Epsilon-a after each iteration. Use epsilon_$=0.01%. Part A Perform (hand calculation) 3 iterations of Newton's Raphson method to solve the equation. Use an initial guess of x0=3.5. Part B Write your own Matlab function to validate your results. Part C Compare the results of question 1 to the results of question 2, what is your conclusion ?
This is Matlab Problem and I'll attach problem1 and its answer
for reference.
We were unable to transcribe this imageNewton's Method We have already seen the bisection method, which is an iterative root-finding method. The Newton Rhapson method (Newton's method) is another iterative root-finding method. The method is geometrically motivated and uses the derivative to find roots. It has the advantage that it is very fast (generally faster than bisection) and works on problems with double (repeated) roots, where the...
Newton's Method in MATLAB During this module, we are going to use Newton's method to compute the root(s) of the function f(x) = x° + 3x² – 2x – 4 Since we need an initial approximation ('guess') of each root to use in Newton's method, let's plot the function f(x) to see many roots there are, and approximately where they lie. Exercise 1 Use MATLAB to create a plot of the function f(x) that clearly shows the locations of its...
Problem 1: Consider the following linear optimization problem: max +22 +rs subject to X1 + X2 + X3 = 10 2x1 - 22 24 i 20, 1,2,3. (a) Bring the problem to a standard form. (b) Show that the point (2,8,0)Ts optimal by the optimality condition of the linear program- ming. Is it an extreme point? Provide arguments for your answers. (c) Determine at least one other point different than (2,8,0)T, which is an extreme point of the constraint set...
Most questions answered within 3 hours.
-
Describe how the file manager allocates a file to a single user.
List the steps that...
asked 21 minutes ago -
For the following reaction:
IBr(g) + 4F2(g) → IF5(g) +
BrF3(g)
Compound
ΔH°f (kJ mol-1)...
asked 23 minutes ago -
Assuming the simple probability of even A is given as P(A) and
the simple probability of...
asked 25 minutes ago -
2.- It is known that 20% of the students on campus are smokers.
If 8 students...
asked 26 minutes ago -
Provide a summary/reflection of what you gleaned of how law
enforcement is effect by Unconventional Weapons...
asked 47 minutes ago -
From the following heats of combustion,
CH3OH(l) + 3/2O2(g) → CO2(g) +
2H2O(l)
ΔHorxn = –726.4...
asked 40 minutes ago -
Floating Point Representation
Consider a computer that stores information using 10 bits words.
The first bit...
asked 1 hour ago -
. The theoretical weight percent of carbon in (CH3)3N is:
A. 20.32% B. 81.95% C. 9.97%...
asked 1 hour ago -
The rate of a certain reaction is given by the following rate
law:
rate = k[H2][I2]...
asked 57 minutes ago -
A 10,000 uF capacitor is in series with a 1 uH inductor. What is
Zeq of...
asked 1 hour ago -
Draw the molecular orbital diagram for O2-
(oxygen molecule with a negative charge).
asked 1 hour ago -
Of all the different weapons discussed in this chapter that make
up CBRNE,
Which group do...
asked 1 hour ago