Question: It is interesting that a modified version of the Trapezoidal Rule turns out to be in general more accurate than the Parabolic Rule. This version

It is interesting that a modified version of the Trapezoidal Rule turns out to be in general more accurate than the Parabolic Rule. This version says that

Where T is the standard trapezoidal estimate.
(a) Use this formula with n = 8 to estimate

And note its remarkable accuracy.
(b) Use this formula with n = 12 to estimate

f(x) dxT 12 .3 x4 dx sin x dx.

Step by Step Solution

★★★★★

3.49 Rating (172 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a T 489414 f x 4x 3 489414 ... 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)

955-M-C-D-E (2030).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Consider a modified version of the experiment where we flip a coin until the first occurrence of tails or until we flip the coin four times, whichever comes first. (a) List the possible outcomes of...

Now consider a modified version of Problem 2.70 where the defense is also allowed to roll multiple dice. Each players highest roll is compared with the other players highest roll, their second...

Let X (t) be a modified version of the random telegraph process. The process switches between the two states X (t) = 1 and X (t) = 1 with the time between switches following exponential...

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

Summarize this article using this very straight forward example: EXAMPLE: Krcmar, M. & Lachlan, K. (2009). Aggressive Outcomes and Videogame Play: The Role of Length of Play and the Mechanisms at...

On the folly of rewarding A, while hoping for B Steven Kerr \f\f\f180 ) Academy of Management Journal December be successful in highly predictable areas within an organization, but are likely to...

FAISOmbud Office of the Ombud for Financial Services Providers IN THE OFFICE OF THE OMBUD FOR FINANCIAL SERVICES PROVIDERS PRETORIA Case Number: FAIS 04366/18-19/ KZN 3 In the matter between Vemilla...

Can't you please provide summary of this reading and any important quotes. Please explain CRITICS OF LEGAL POSITIVISM 204 CH. 5 afor Power to fill gaps in the law in the way that would make the...

1.5 HISTORY AND DEVELOPMENT OF RULES OF EVIDENCE 13 into evidence, in any court, of any wire or oral communication that has been obtained in violation of the Federal Wiretap Act, even if it would be...

Transporting Efficiency Query You will a query to calculate the number of days between the date an order was placed and the date the order was shipped for each order. The result of your work will be...

The following unadjusted trial balance contains the accounts and balances of Dylan Delivery Company as of December 31. 1. Use the following information about the company's adjustments to complete a...

Select one of the following topics in which you will base your responses in the form of a term paper: Network Neutrality Web2.0 Wireless Technology Broadband Convergence U.S. Telecommunication...

Identify which of the following statements is true. A . Both a Type B reorganization or a reverse triangular merger will not allow the target corporation to remain in existence. B . In a Type B...

Are we asking too much of Governance Boards? Discuss.

If c > 1/2, how many lines through the point (0, c) are normal lines to the parabola y = x2? What if c 1/2?

Find the linearization L(x) of the function at a. (a) f(x) = x4 + 3x2, a = - 1 (b) f(x) = x, a = 4

Q.No.2 (5 marks) Three independent projects, each of which requires a RS 5 million investment are being considered for investment purpose by Sona Tea Company. The cost of capital and estimated...

Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance that he or she truly has the flu (and not just a nasty cold) is only about 4%. Of...

A forward contract with a settlement date at time T is issued based on an underlying asset with a current market price of B. The annualised risk-free force of interest applying over the term of the...