Homework Answers
Situation where we can not get root even after infinite number of itearations is in case of Multi Valued functions.
If the function is given like f[f(x)] = f(x) and bisection method is applied in order to find the root of the equation ,then how much ever you try to get the roots you can not get even after infinite iterations. It can only provide subset of the full range of the roots.
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1. (10 pts) Answer the following questions with a complete thought. (a) Consider using the Bisection...
Lastname, Firstname MECH 1314 Homework #12-Bisection Due: 4/22/2019 Instructions: Submit your scr...
Lastname, Firstname MECH 1314 Homework #12-Bisection Due: 4/22/2019 Instructions: Submit your script in a file named hwk12.m to the dropbox before 11:59 pm on the due date 20 pts The "root" of an equation, y f(x), is a value of x for which y has a value of zero and it is often "the answer" for a practical engineering problem. For example, ion Algebra you learned the Quadratic Equation, an equation that allows you to compute the value of each...
Consider the function xtan x -1 defined over all x. Sketch the function to get an idea of the roots 1 find the first couple of roots using bisection to a precision of machine epsilon 2 after straddli...
Consider the function xtan x -1 defined over all x. Sketch the function to get an idea of the roots 1 find the first couple of roots using bisection to a precision of machine epsilon 2 after straddling a root, find its value using the Newton-Raphson method. 3 after straddling a root, find its value using the secant method 4 after straddling a root, find its value using the false position method. Determine the order of the methods and comment...
i need the answer to be on a MatLab window 1. Consider the following equation, which...
i need the answer to be on a MatLab window
1. Consider the following equation, which represents the concentration (c, in mg/ml) of a drug in the bloodstream over time (t, in seconds). Assume we are interested in a concentration of c2 mg/ml C3te-0.4t A. Estimate the times at which the concentration is 2 mg/ml using a graphical method Be sure to show your plot(s). Hint: There are 2 real solutions B. Use MATLAB to apply the secant method (e.g....
question 3 please The first 5 questions refer to finding solutions to the equation exp(w) =...
question 3 please
The first 5 questions refer to finding solutions to the equation exp(w) = 3.8 ln(1+x). You will need to write it in the form f(x)-0, and use various root finding methods. 1. (10 pts) Plot the curves y- exp(Vx), and y 3.8 ln(1+x) on the same graph in the range 0 x 6. Read off intervals in which there are roots of the equation exp(k)- 3.8 In(1+x) Now find the roots to 6 decimal places using the...
Using MATLAB or FreeMat ---------------------------- Bisection Method and Accuracy of Rootfinding Consider the function f(0) =...
Using MATLAB or FreeMat
----------------------------
Bisection Method and Accuracy of Rootfinding Consider the function f(0) = 3 cos 2r cos 4-2 cos Garcos 3r - 6 cos 2r sin 2r-5.03r +5/2. This function has exactly one root in the interval <I<1. Your assignment is to find this root accurately to 10 decimal places, if possible. Use MATLAB, which does all calculations in double precision, equivalent to about 16 decimal digits. You should use the Bisection Method as described below to...
Need solution for question 5.6 using python? tation to within e, 5.11 Determine the real root...
Need solution for question 5.6 using
python?
tation to within e, 5.11 Determine the real root of x 80: (a) analytically and (b) with the false-position method to within e, = 2.5%. Use initial guesses of 2.0 and 5.0. Compute the estimated error Ea and the true error after each 1.0% teration 5.2 Determine the real root of (x) 5r - 5x2 + 6r -2 (a) Graphically (b) Using bisection to locate the root. Employ initial guesses of 5.12 Given...
Problem 2 Consider the causal non-linear discrete-time system characterized by the following diff...
Problem 2 Consider the causal non-linear discrete-time system characterized by the following difference equation: 2y[n] yn-1]+x[n] /yn-] If we use as input x[n] to this system (algorithm) a step function of amplitude P (i.e. xIn]-P u[n]), then y[n] will converge after several iterations to the square root of P .Write a MATLAB program that implements the above recursion to compute the square . How many iterations does it take to converge to the true value starting at y[-1]-0.2? roots of...
Problem 2 Consider the causal non-linear discrete-time system characterized b difference equation...
Please help me in this question using MATLAB and Calculations
please by hand
Problem 2 Consider the causal non-linear discrete-time system characterized b difference equation: y the following n of amplitude P (i.e If we use as input x[n] to this system (algorithim) a step functio rge after several iterations to the square root of P t implements the above recursion to compute the square n)-P uIn), then yIn] will conver roots of 25, 9, 3, and 2. How many...
true or false numarical method rd wneh the correct answer for the following statements: 1 Errors resulting from pressing a wrong button are called blunders 2. Using the bisection method to sol...
true or false
numarical method
rd wneh the correct answer for the following statements: 1 Errors resulting from pressing a wrong button are called blunders 2. Using the bisection method to solve fx)-+5 between x -2 and x 0, there is surely a root between -2 and-1. 3. )Single application of the trapezoidal rule is the most accurate method of numerical integration. 4. Newton-Raphson method is always convergent. 5. ()The graphical method is the most acurate method to solve systems...
sorry I thought it would look for similar questions after taking a picture. but it posted...
sorry I thought it would look for similar questions
after taking a picture. but it posted I also need help with these
questions plus what the picture had. Thank you!
d)deduce that the matrix A is invertible
e) solve the linear system S1 by Gauss Elimination
f) find the inverse A^-1 of A
g)deduce the solution of S1
h) find the LU decomposition of the matrix A
I) solve the linear system of equation S1 by using the LU
j)...
Lastname, Firstname MECH 1314 Homework #12-Bisection Due: 4/22/2019 Instructions: Submit your script in a file named hwk12.m to the dropbox before 11:59 pm on the due date 20 pts The "root" of an equation, y f(x), is a value of x for which y has a value of zero and it is often "the answer" for a practical engineering problem. For example, ion Algebra you learned the Quadratic Equation, an equation that allows you to compute the value of each...
Consider the function xtan x -1 defined over all x. Sketch the function to get an idea of the roots 1 find the first couple of roots using bisection to a precision of machine epsilon 2 after straddling a root, find its value using the Newton-Raphson method. 3 after straddling a root, find its value using the secant method 4 after straddling a root, find its value using the false position method. Determine the order of the methods and comment...
i need the answer to be on a MatLab window
1. Consider the following equation, which represents the concentration (c, in mg/ml) of a drug in the bloodstream over time (t, in seconds). Assume we are interested in a concentration of c2 mg/ml C3te-0.4t A. Estimate the times at which the concentration is 2 mg/ml using a graphical method Be sure to show your plot(s). Hint: There are 2 real solutions B. Use MATLAB to apply the secant method (e.g....
question 3 please
The first 5 questions refer to finding solutions to the equation exp(w) = 3.8 ln(1+x). You will need to write it in the form f(x)-0, and use various root finding methods. 1. (10 pts) Plot the curves y- exp(Vx), and y 3.8 ln(1+x) on the same graph in the range 0 x 6. Read off intervals in which there are roots of the equation exp(k)- 3.8 In(1+x) Now find the roots to 6 decimal places using the...
Using MATLAB or FreeMat
----------------------------
Bisection Method and Accuracy of Rootfinding Consider the function f(0) = 3 cos 2r cos 4-2 cos Garcos 3r - 6 cos 2r sin 2r-5.03r +5/2. This function has exactly one root in the interval <I<1. Your assignment is to find this root accurately to 10 decimal places, if possible. Use MATLAB, which does all calculations in double precision, equivalent to about 16 decimal digits. You should use the Bisection Method as described below to...
Need solution for question 5.6 using
python?
tation to within e, 5.11 Determine the real root of x 80: (a) analytically and (b) with the false-position method to within e, = 2.5%. Use initial guesses of 2.0 and 5.0. Compute the estimated error Ea and the true error after each 1.0% teration 5.2 Determine the real root of (x) 5r - 5x2 + 6r -2 (a) Graphically (b) Using bisection to locate the root. Employ initial guesses of 5.12 Given...
Problem 2 Consider the causal non-linear discrete-time system characterized by the following difference equation: 2y[n] yn-1]+x[n] /yn-] If we use as input x[n] to this system (algorithm) a step function of amplitude P (i.e. xIn]-P u[n]), then y[n] will converge after several iterations to the square root of P .Write a MATLAB program that implements the above recursion to compute the square . How many iterations does it take to converge to the true value starting at y[-1]-0.2? roots of...
Please help me in this question using MATLAB and Calculations
please by hand
Problem 2 Consider the causal non-linear discrete-time system characterized b difference equation: y the following n of amplitude P (i.e If we use as input x[n] to this system (algorithim) a step functio rge after several iterations to the square root of P t implements the above recursion to compute the square n)-P uIn), then yIn] will conver roots of 25, 9, 3, and 2. How many...
true or false
numarical method
rd wneh the correct answer for the following statements: 1 Errors resulting from pressing a wrong button are called blunders 2. Using the bisection method to solve fx)-+5 between x -2 and x 0, there is surely a root between -2 and-1. 3. )Single application of the trapezoidal rule is the most accurate method of numerical integration. 4. Newton-Raphson method is always convergent. 5. ()The graphical method is the most acurate method to solve systems...
sorry I thought it would look for similar questions
after taking a picture. but it posted I also need help with these
questions plus what the picture had. Thank you!
d)deduce that the matrix A is invertible
e) solve the linear system S1 by Gauss Elimination
f) find the inverse A^-1 of A
g)deduce the solution of S1
h) find the LU decomposition of the matrix A
I) solve the linear system of equation S1 by using the LU
j)...
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