Question: Derive Simpson's rule with error term by using Find a0, a1, and a2 from the fact that Simpson's rule is exact for f (x) =

Derive Simpson's rule with error term by using

Find a0, a1, and a2 from the fact that Simpson's rule is exact for f (x) = xn when n = 1, 2, and 3. Then find k by applying the integration formula with f (x) = x4.

f (x) dx = ao f (xa) + al f (x) + af (x) + k f(4) ().

Step by Step Solution

★★★★★

3.47 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

For fx x a 0 x 0 a 1 x 0 h a 2 x 0 2h 2x 0 h 2h 2 fx x2 a 0 x 0 2 a 1 x 0 h 2 a 2 x 0 ... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

731-M-N-A-N-L-A (404).docx

120 KBs Word File

Students Have Also Explored These Related Numerical Analysis Questions!

Derive Simpson's three-eighths rule (the closed rule with n = 3) with error term by using Theorem 4.2.

Derive Simpson's method by applying Simpson's rule to the integral Ii-1

Derive Pascal's formula from the fact that C (n, r) is the number of ways of selecting r objects from a set of n objects. Let x denote the nth object of the set. Count the number of ways that a...

Derive Simpson s rule with error term by using x 2 f ( x ) dx = a 0 f ( x 0 ) + a 1 f ( x 1 ) + a 2 f ( x 2 ) + k f ( 4 ) ( ) . x 0 2 7 . 2 8 . Find a 0 , a 1 , and a 2 from the fact that Simpson s...

please help this Simpson rule questions with clear steps and details, thanks 3. Derive Simpson's rule with error term by using 12 f(x)dx = aof (xo) + alf(x1) + a2f (x2) + kf(4)(8). CO Find ao, a, and...

Math\t107-6381\t-\tQuiz\t#4\t-\tSchultz\t-\tDue\tFebruary\t21,\t2016\t-\tpage\t1\tof 3 Follow\tthese\tdirections\tcarefully. This\tquiz\tis\tdue\tby\t11:59\tEastern\ttime\ton\tFebruary\t21,\t2016. o...

Downloaded 02/28/15 to 132.174.255.3. Redistribution subject to SIAM license or copyright; see http://www.siam.org/journals/ojsa.php 15.7. Exercises 475 changes and we laugh no more. While...

MUST BE CORRECT ANSWERS A small software company has the following simplified cashflow, funded by shareholders' equity of 20,000 and a bank overdraft of 5000: Invoiced money received 2 months after...

HW #8 (Fault Simulation) EE 623 1. Assume you have developed an efficient table-driven event-directed logic simulation system. Consider a fan-out free circuit C having n input lines, m output line, g...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

Refer to the preceding facts for Packards acquisition of Stude common stock. On January 1, 2012, Packard held merchandise acquired from Stude for $10,000. This beginning inventory had an applicable...

How does the size of the credit union industry compare to the commercial banking industry?

Refer to Exercise 2.33 concerning feelings about weight. To compare the men and women, draw a bar graph of the percents found in parts (c) and (d). Use Figure 2.4 (p. 24) for guidance.

Which of the following represents the estimated value of the work actually accomplished? A. Earned value (EV) B. Planned value (PV) C. Actual cost (AC) D. Cost variance (CV)

A mechanical assembly used in an automobile engine contains four major components. The weights of the components are independent and normally distributed with the following means and standard...

Suppose X and Y have a bivariate normal distribution with X = 4 Y = 1 = 4, Y =4, and. p = - 2.0 Draw a rough contour plot of the joint probability density function.

If Determine E(X), E(Y), V(X), V(Y), and p by recorganizing the parameters in the joint probability density function. fr(x, y) = [(x - 1)? exp 1.2 0.72 - 1.6(x 1)(v 2) + (v 2)*]

1. (TCO 8) If the financial markets are strong form efficient, then: (Points : 4) only the most talented analysts can determine the true value of a security. only company insiders have a marketplace...

Help needed Problem 11-13 Weight of Preferred Stock (LG11-4) FarCry Industries, a maker of telecommunications equipment, has 2 million shares of common stock outstanding. 1 million shares of...

Even though most corporate bonds in the United States make coupon payments semiannually, bonds issued elsewhere often have annual coupon payments. Suppose a German company issues a bond with a par...