Use Richardson extrapolation to estimate the first derivative of y = cos x at x =...
Use Richardson extrapolation to estimate the first derivative of y = cos x at x = π∕4 using step sizes of h1= π∕3 and h2 = π∕6. Employ centered differences of O(h2) for the initial estimates. please give me the MATLAB code for this question.
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Use Richardson extrapolation to estimate the first derivative of
y = cos x at x =...
Compute forward and backward difference approxi- aion 21.1 ns of O(h) and Oh), and central difference approxi- mations of 0(h2) and O(h) for the first derivative of y sin x at π/ 12. Estimate the...
Compute forward and backward difference approxi- aion 21.1 ns of O(h) and Oh), and central difference approxi- mations of 0(h2) and O(h) for the first derivative of y sin x at π/ 12. Estimate the true percent 4 using a value of x=π/ relative error ε, for each approximation.
Compute forward and backward difference approxi- aion 21.1 ns of O(h) and Oh), and central difference approxi- mations of 0(h2) and O(h) for the first derivative of y sin x at...
answer all 4 questions 2+1) π i Given that :-., and arg( 4. Find Find 2. Use the first principles to find the derivative of [20] cos(x-4x) . rt k! 3. Use derivative to show that [10] 4. Find dry,...
answer all 4 questions
2+1) π i Given that :-., and arg( 4. Find Find 2. Use the first principles to find the derivative of [20] cos(x-4x) . rt k! 3. Use derivative to show that [10] 4. Find dry, if y = xx,
2+1) π i Given that :-., and arg( 4. Find Find 2. Use the first principles to find the derivative of [20] cos(x-4x) . rt k! 3. Use derivative to show that [10] 4. Find dry,...
2. Use the notation in this section, derive the centered difference approxima- tion to the first derivative, u(x +h)-u (x-h) u,(x) + O(h2) = 2h 2. Use the notation in this section, derive th...
2. Use the notation in this section, derive the centered difference approxima- tion to the first derivative, u(x +h)-u (x-h) u,(x) + O(h2) = 2h
2. Use the notation in this section, derive the centered difference approxima- tion to the first derivative, u(x +h)-u (x-h) u,(x) + O(h2) = 2h
Estimate the second derivative of the following function using stencils for the FORWARD and CENTRAL derivatives for an order of accuracy of O(h2) for each. Use a step size of h -1. fo)x-2x2...
Estimate the second derivative of the following function using stencils for the FORWARD and CENTRAL derivatives for an order of accuracy of O(h2) for each. Use a step size of h -1. fo)x-2x2 +6 Second derivative, Forward Difference Approximation, o(h2)- Second derivative, Central Difference Approximation, O(h2) Which of the two methods is closer to the true value? (Forward/Central 12.5 points Differential Equation Estimate the second derivative of the following function using stencils for the FORWARD an derivatives for an order...
Use Microsoft excel to estimate the derivative of the following function: Please answer all questions. Use Microsoft Excel to estimate the derivative of the following functionc Note that the anal...
Use
Microsoft excel to estimate the derivative of the following
function:
Please answer all questions.
Use Microsoft Excel to estimate the derivative of the following functionc Note that the analytical derivative is fo- 3x-2x-3. Generate a table of ordered values for the function its analytical derivati e and an mencal estimate of the derivatwe. Use the first orde, centered method to esti ate the dem ative at x two digits to the right of the decimal place in your answer....
Use MATLAB to generate code for this 4.Given the following functions: (1) f1 (x, y) = cos...
Use MATLAB to generate code for this 4.Given the following functions: (1) f1 (x, y) = cos (3 x); (2) f2 (x, y) = cos (5 y); (3) f3 (x, y) = cos (3 x) cos (5 y); Please plot 3D plots/images for each of the functions. Please show your steps/ derivations to explain why you obtain those plots/figures.
please show me a Matlab script that will compute the total errors of the approximation due...
please show me a Matlab script that will compute the
total errors of the approximation due to the given function, also
include the panel plot as well, thank you.
1) This problem studies the errors due to the approximation of the first derivative of a given function f(x) using the forward and centered difference methods. For this problem, we consider f(x)=sin(x). a) First, we will investigate the effect of the step size h on the first derivative approximation. Set h=10',...
(a) Use Euler's method with each of the following step sizes to estimate the value of y(0.8), where y is the solutio...
(a) Use Euler's method with each of the following step sizes to estimate the value of y(0.8), where y is the solution of the initial-value problem y' = y, y(0) = 3. (i) h = 0.8 y(0.8) = (ii) h = 0.4 y(0.8) = (iii) h = 0.2 y(0.8) = (b) We know that the exact solution of the initial-value problem in part (a) is y = 3ex. Draw, as accurately as you can, the graph of y = 3ex,...
6. o 1 points Use logarithmic differentiation or an alternative method to find the derivative of the function y=x8 cos x Submit Answer Save Progress 6. o 1 points Use logarithmic differentia...
6. o 1 points Use logarithmic differentiation or an alternative method to find the derivative of the function y=x8 cos x Submit Answer Save Progress
6. o 1 points Use logarithmic differentiation or an alternative method to find the derivative of the function y=x8 cos x Submit Answer Save Progress
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...
Compute forward and backward difference approxi- aion 21.1 ns of O(h) and Oh), and central difference approxi- mations of 0(h2) and O(h) for the first derivative of y sin x at π/ 12. Estimate the true percent 4 using a value of x=π/ relative error ε, for each approximation.
Compute forward and backward difference approxi- aion 21.1 ns of O(h) and Oh), and central difference approxi- mations of 0(h2) and O(h) for the first derivative of y sin x at...
answer all 4 questions
2+1) π i Given that :-., and arg( 4. Find Find 2. Use the first principles to find the derivative of [20] cos(x-4x) . rt k! 3. Use derivative to show that [10] 4. Find dry, if y = xx,
2+1) π i Given that :-., and arg( 4. Find Find 2. Use the first principles to find the derivative of [20] cos(x-4x) . rt k! 3. Use derivative to show that [10] 4. Find dry,...
2. Use the notation in this section, derive the centered difference approxima- tion to the first derivative, u(x +h)-u (x-h) u,(x) + O(h2) = 2h
2. Use the notation in this section, derive the centered difference approxima- tion to the first derivative, u(x +h)-u (x-h) u,(x) + O(h2) = 2h
Estimate the second derivative of the following function using stencils for the FORWARD and CENTRAL derivatives for an order of accuracy of O(h2) for each. Use a step size of h -1. fo)x-2x2 +6 Second derivative, Forward Difference Approximation, o(h2)- Second derivative, Central Difference Approximation, O(h2) Which of the two methods is closer to the true value? (Forward/Central 12.5 points Differential Equation Estimate the second derivative of the following function using stencils for the FORWARD an derivatives for an order...
Use
Microsoft excel to estimate the derivative of the following
function:
Please answer all questions.
Use Microsoft Excel to estimate the derivative of the following functionc Note that the analytical derivative is fo- 3x-2x-3. Generate a table of ordered values for the function its analytical derivati e and an mencal estimate of the derivatwe. Use the first orde, centered method to esti ate the dem ative at x two digits to the right of the decimal place in your answer....
please show me a Matlab script that will compute the
total errors of the approximation due to the given function, also
include the panel plot as well, thank you.
1) This problem studies the errors due to the approximation of the first derivative of a given function f(x) using the forward and centered difference methods. For this problem, we consider f(x)=sin(x). a) First, we will investigate the effect of the step size h on the first derivative approximation. Set h=10',...
6. o 1 points Use logarithmic differentiation or an alternative method to find the derivative of the function y=x8 cos x Submit Answer Save Progress
6. o 1 points Use logarithmic differentiation or an alternative method to find the derivative of the function y=x8 cos x Submit Answer Save Progress
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...
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