Question: Compute the numerical approximation of second derivative of function f (0.8) = cos(x), with a step size of h = 0.1, 0.01, 0.001, 0.0001, using

Compute the numerical approximation of second derivative of function f (0.8) = cos(x), with a step size of h = 0.1, 0.01, 0.001, 0.0001, using backward of O(h), centered of och) and forward difference of O(h).

Step by Step Solution

★★★★★

3.42 Rating (158 Votes )

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 Mathematics Questions!

1. Explain backward and forward vertical integrations. 2. Describe centralized and decentralized purchasing and their advantages. 3. Explain these terms: (a) supply management, (b) materials...

The graph of the second derivative f of a function f is shown. State the -coordinates of the inflection points of f. Give reasons for your answers. y. -) 8

The graph of the derivative f of a function f is shown. (a) On what intervals is f increasing or decreasing? (b) At what values of x does f have a local maximum or minimum? y= f'(x) 0 4

A generator, with V g = 100 V(rms) and Z g = 1 + j, feeds a load Z 1 = 2 (Fig. 10-12). (a) Find the average power PZ 1 (absorbed by Z 1 ), the power P g (dissipated in Z g ) and P T (the power...

For the second-order drag model (Eq. 1.8), compute the velocity of a free-falling parachutist using Eulers method for the case where m = 80 kg and cd = 0.25 kg/m. Perform the calculation from t = 0...

2.3. Write a simple function to compute the median absolute deviation (used in robust statistics; see Chapter 8) median [x - JLl with default JL the sample median. S-PLUS users should compare their...

Sketch the region enclosed by the given curves and find its area. y = sec?x, y= 8 cos x,

Determine the FRF for the system described in Problem 8 using Euler integration to calculate the time-domain displacement due to the impulsive input force. To increase the FRF frequency resolution,...

A single degree of freedom spring-mass-damper system which is initially at rest at its equilibrium position is excited by an impulsive force with a magnitude of \(250 \mathrm{~N}\) over a time...

At time t = O, a bacterial culture weighs 2 grams. Three hours later, the culture weighs 8 grams. The maximum weight of the culture is 40 grams. (a) Write a logistic equation that models the weight...

Sun Co.'s monthly sales and cost data for its operating activities of the past year follow. Management wants to use these data to predict future fixed and variable costs. (Dollar amounts are in...

In Newtons Ring Experiment the diameter of n th and (n+14) th dark ring is 4.2mm and 7.0 mm respectively. the radius of curvature of the plano-convex lens is 1m. Calculate the wavelength of light...

What is the main purpose of market segmentation? To divide customers based on income alone To better meet customer needs and improve business performance To increase product prices across all markets...

A particle at rest is attracted toward a center of force according to the relation F = mk2/x3. Show that the time required for the particle to reach force center from a distance d is d2/k.

Calculate the gravitational potential due to a thin rod of length l and mass M at a distance R from the center of the rod and in a direction perpendicular to the rod.

Let X denote the reaction time, in seconds, to a certain stimulus and Y denote the temperature (F) at which a certain reaction starts to take place. Suppose that two random variables X and Y have the...

A process is described by the following transfer function Thus, it exhibits characteristics of both first-order and integrating processes. How could you utilize a step change in the input of...

With a b-bit counter, we can ordinarily only count up to 2b 1. With R. Morris's probabilistic counting, we can count up to a much larger value at the expense of some loss of precision. We let a...

Physics 1100-01 homework A transverse wave on a string has an amplitude of 20 cm, a wavelength of 55 cm, and a frequency of 2.0 Hz. The wave moves in the positive x-direction. Write the wave...

PLEASE ANSWER EVERYTHING AND NOT JUST THE FIRST PROBLEM. THANK YOU VERY MUCH! Exercise 1 Consider the following integral of a function f(r) on a finite interval [a, Write three Matlab/Octave...

3) The following code in bold is a Java program for Numerical Integration which allows for Midpoint, Trapezoid, and Simpson rules in Linear Algebra. A client with no technical experience wants to...

For java, I have this code for numerical integration and I need help with the midpoint formula, can someone help me write it? I put the code needed in bold package NumInteg; import java.util.Scanner;...

3) The following code in bold is a Java program for Numerical Integration which allows for Midpoint, Trapezoid, and Simpson rules in Linear Algebra. A client with no technical experience wants to...

Exercise 1 Consider the following integral of a function f(r) on a finite interval [a, Write three Matlab/Octave functions implementing, respectively, the composite midpoint rule, the composite...

lab2 - MATH 2242 B,G-Calcula The Expert TA Human-like Gr x+ thern.desire2learn.com/d2/le/content/485354/viewContent/6971077/Niew?ou 485354 Problems: (1) Use the symbolic function int0 to evaluate the...