Compute forward and backward difference approximations of O(h) and O(h2), and central difference approximations of O(h2) and
Question:
Compute forward and backward difference approximations of O(h) and O(h2), and central difference approximations of O(h2) and O(h4) for the first derivative of y = cos x at x = π/4 using a value of h = π/12. Estimate the true percent relative error εt for each approximation.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 81% (16 reviews)
x f x x i 2 0261799388 0965925826 x i 1 0523598776 0866025404 x i 0...View the full answer
Answered By
Sigei Kipngeno
I am a professional writer with more than 2 years of writing experience. I will always deliver a grade A paper with zero plagiarism . Thanks in advance.
4.70+
175+ Reviews
311+ Question Solved
Related Book For
Numerical Methods For Engineers
ISBN: 9780071244299
5th Edition
Authors: Steven C. Chapra, Raymond P. Canale
Question Posted:
Students also viewed these Numerical Analysis questions
-
Use forward and backward difference approximations of O(h) and a centered differences approximation of O(h2) to estimate the first derivative of the function examined in Prob. 4.4.Evaluate the...
-
Employ Eq. (23.9) to determine the first derivative of y = 2x4 6x3 12x 8 at x = 0 based on values at x0 = 0.5, x1= 1, and x2 = 2. Compare this result with the true value and with an estimate...
-
Repeat Prob. 23.4, but for the first derivative of In x at x = 5 using h1 = 2 and h2 = 1.
-
A closely wound solenoid of 2000 turns and area of cross-section 1.5 x 10 mcarries a current of 2.0 A. It suspended through its centre and perpendicular to its length, allowing it to turn in a...
-
What are the general guidelines in terms of the classification of income statement and balance sheet items to operating, investing, and financing activities? Give an example of an exception to these...
-
Refer to the information in Exercise 7-30. Prepare an entry to allocate over- or underapplied overhead to: a. Work in Process. b. Finished Goods. c. Cost of Goods Sold. Data From Exercise 7-30: Aspen...
-
Consider the fuel consumption data in Table B.18. For the purposes of this exercise, ignore regressor $x_{1}$. Perform a thorough residual analysis of these data. What conclusions do you draw from...
-
The following information was obtained from the records of Shae, Inc.: Merchandise inventory . . . . . . . . . . . . . . . . . . . . . . . . . $264,000 Notes payable (long-term) . . . . . . . . . . ....
-
American Food Services, Incorporated leased a packaging machine from Barton and Barton Corporation. Barton and Barton completed construction of the machine on January 1, 2024. The lease agreement for...
-
Farnsworth Executive Coaching (FEC) offers services to firms in advising executives on improving productivity and leadership. For August, FEC worked 660 hours for Grace Corporation and 390 hours for...
-
The depths of a river H are measured at equally spaced distances across a channel as tabulated below. The rivers cross- sectional area can be determined by Integration as in Use Romberg integration...
-
Repeat Prob. 23.1, but for y = log x evaluated at x = 25 with h = 2.
-
During every election in a particular region, pollsters conduct exit polls to help determine which candidate people voted for. During the most recent election, pollsters incorrectly predicted...
-
what are the possible capstone ideas/topic/title about structural engineering , seismic and retrofitting that is unique and innovative?
-
The Western Harbour Tunnel crossing Victoria Harbour in HK was built at a cost of around HK7.5 billion, owned by the Western Harbour Tunnel Company Limited (WHTCL). Suppose that the government...
-
Give the history of structural engineering, hydraulic water resources engineering, transportation engineering, construction engineering, geotechnical engineering ?
-
Discuss briefly the following fields of Civil Engineering which is structural engineering, Construction engineering management, geotechnical engineering, water resource engineering, transportation...
-
give the Definitions/description of the following specialization structural engineering geotechnical engineering construction engineering transportation engineering water resources engineering
-
Use regress (. . . ) to compute the REML estimate of the variance components in (5.4). Hence obtain the estimated slopes, their difference, and the standard errors for all three.
-
Data on weekday exercise time for 20 females, consistent with summary quantities given in the paper An Ecological Momentary Assessment of the Physical Activity and Sedentary Behaviour Patterns of...
-
Indicate whether each statement is true or false, and justify your answer. In the US, drug companies receive a patent of 100 years for each drug they develop. This allows them a prolonged legal...
-
Use Definition 8 to prove that lim x 1/x = 0.
-
Prove, using Definition 9, that lim x x3 =
-
Use Definition 9 to prove that lim x ex =
-
PwC has settled a lawsuit brought against it over one of the biggest bank collapses in US history, in a landmark case that shone a light on the responsibility of auditors to detect fraud. The worlds...
-
Chloe is made redundant from the surf shop. Her employee final payments include: $1,000 unused roster days off $1,300 unused sick leave $2,000 unused annual leave $4,000 in lieu of notice. What is...
-
Burlington Manufacturing has calculated its earnings per share as $1.25. If the corporation has 500,000 shares outstanding, what is the amount of after-tax income?
Study smarter with the SolutionInn App