Question: 2. Approximate the second derivative of the function f(1) = (2 4.0) at x = 1 using the for- ward and the central difference approximations

2. Approximate the second derivative of the function f(1) = (2

2. Approximate the second derivative of the function f(1) = (2 4.0) at x = 1 using the for- ward and the central difference approximations with the following step sizes Ar = 1.6,0.4, 0.1. Compute also the exact value of the second derivative and the %errors of the approximations with respect to the exact value. Present the %errors for the different approximations and step sizes Ax in a table. Based on the table, conclude what approximation is the best one

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Need solutions for solving 4.2 and 4.6 using python. Questions are attached as a screenshot. Using a step size 0 .. Compare your results with the true value of the derivative. Interpret your results...

Need solution for 4.6 using python. Questions are attached as a screenshot. Using a step size 0 .. Compare your results with the true value of the derivative. Interpret your results on the (a) Prove...

ECON 300 - Fall 2015 Professor Montgomery Problem Set #4 (Oct 23) (Note: I may reduce the size of the problem set next week depending on our speed moving through the material) 1. On October 1st of...

2 Coding Assignment to be complete in a jupiterlab notbook in python: Finding local maxima. Throughout this assignment, you must comment your code and be sure to label the axes on all your plots....

Which of the following is the second derivative of the function f ( ac) = 2+? 3x XO A. f" (x) - 223 1 3x2 B. f" ( 2) _ 2:" +2 323 X C. f" (ac) = 4ac3 +1 3x2 X D. f" (x) = 20ac3 + 2 3x2 X E. f" (x) -...

I need help with the questions from: Now determine the first derivative f ( x ) analytically. Calculate the total absolute error n = 0 10 f ( x n ) g ( x n ) between the analytical derivative f ( x )...

1 Introduction The derivative of a function f at x is defined in terms of a limit, which may be written as f(x+h) f(x) f(x) = lim h0 . h Figure 1: Graph of the function f(x)=xx over [0,2]. Layered on...

Molly Leonard MA 131, section 601, Fall 2016 Instructor: Brenda Burns WebAssign Applications: Exponential, Logarithmic Functions (Homework) Current Score : 11 / 14 Due : Tuesday, December 13 2016...

MATLAB code please! Solve number 4.23 (4.8 is for reference) using the added directions in the last screenshot. 4.8) Use a centered difference approximation of O(h ) to estimate the second derivative...

Discuss how you would apply the means available to businesses to protect the several types of Intellectual Property owned or licensed by it. What system of accountability would you apply to property...

The owner of the Health JuiceBar wishes to prepare a low-calorie fruit juice with a high vitamin-A and -C content by blending orange juice and pink grapefruit juice. Each glass of the blended juice...

Considering the reserve requirement, margin requirement, discount rate, and prime rate, a change to which of these will have the greatest impact on the economy? QID: 2 9 9 7 9 6 3 Mark For Review...

In view of the thermodynamic data for the formation of methanol and by-products from the reaction of CO and H2, as show in the figure below. 300 200 C,H,OH 100 CH2OH Free energy change (kJ/mol HC)...

After Column and Data Types have been set in the Mining Structure, what is the next step?

What needs to occur after any Structural or Variable setting change in SSAS Mining Structures?

For the highest GS Pay Grade Group (1115) in the Federal Government, what are the chances of Females being included? Do Females have longer service statistics in that Group?