Show that maxxjxxj+1 |g(x)| = h2/4, where g(x) = (x jh)(x (j + 1)h).

Question:

Show that maxxj≤x≤xj+1 |g(x)| = h2/4, where g(x) = (x − jh)(x − (j + 1)h).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

See More Books

Question Posted: Mar 22, 2016 02:36 AM

See More Questions

In contrast to the situation of Exercise 40, experiments show that the reaction H2 + Br2 2HBr satisfies the rate law D[HBr/dt] = k[H2][Br2]1/2 And so for this reaction the differential equation...
In this exercise, the r.v.s X1,..., Xk are independent with distributions as indicated, and X = X1 +....+ Xk. Then use Exercise 13 in Chapter 10, the inversion formula (Theorem 2), and the...
If the independent r.v.s Xj, j 2, are distributed as follows: P(Xj = -ja) = P(Xj= ja) = 1/j P(Xj=0) = 1 - 2/j (, > 0), Show that the restriction < 1 ensures that the Lindeberg condition (relation...
At the end of its second year of operation, Jacobs Financial Advisors, Inc., had the trial balance that follows. The following information is also available: a. Office supplies on hand, December 31,...
Use the APY formula required by the Truth in Savings Act for the following calculation. Suppose that a customer holds a savings deposit in a savings bank for a year. The balance in the account stood...
Give examples of five potential appraisal problems.
Why is there only one axial reading on a given machine?
Kobayashi Company has the following accounts: Instructions (a) Complete the table. Identify (1) The type of account as asset, liability, or owner's equity (for owner's equity accounts, also identify...
Why is the Transfer price important to performance measurement? What precisely does the minimum transfer price attempt to compensate the selling division for? Why might an internal order cause the...
1. New Army recruits are required to take a test called the Armed Services Vocational Aptitude Battery (ASVAB). The test measures vocational aptitude and is normally distributed with a mean (u) of...
Prove Taylor's Theorem 1.14 by following the procedure in the proof of Theorem 3.3. [Let Where P is the nth Taylor polynomial, and uses the Generalized Rolle's Theorem 1.10] g(t) =...
The Bernstein polynomial of degree n for f C [0, 1] is given by Where (n/k) denotes n!/k!(n k)!. These polynomials can be used in a constructive proof of the Weierstrass Approximation Theorem 3.1...
If an array is sorted in this order, the values are stored from lowest to highest. a. Asymptotic b. Logarithmic c. Ascending d. Descending
Appreciate the wide range of nonlinear functions that can be estimated using a model that is linear in the parameters.
Explain how to compute a prediction, a prediction interval, and a goodness-of-fit measure in a log-linear model.
Let $y=$ expenditure ( $\$$ ) on food away from home per household member per month in the past quarter and $x=1$ if the household includes a member with an advanced degree, a Master's, or...
Report the results of a fitted regression equation in such a way that confidence intervals and hypothesis tests for the unknown coefficients can be constructed quickly and easily.
One end of a short aluminum rod is in a campfire and the other end is in a block of ice, as shown in Figure Q11.8. If $100 \mathrm{~J}$ of energy are transferred from the fire to the rod, and if...
Software giant Oracle released its newest product, the 11i Suite, in 2000. The company issued press releases and disseminated other information to the public that touted the software as a significant...
What is master production scheduling and how is it done?
An order for a computer system can specify memory of 4, 8, or 12 gigabytes, and disk storage of 200, 300, or 400 gigabytes. Describe the set of possible orders.
Three events are shown on the Venn diagram in the following figure: Reproduce the figure and shade the region that corresponds to each of the following events. (a) A (b) A B (c) (A B) U C (d) (B U...
Three events are shown on the Venn diagram in the following figure:
Salmon ASA has just issued a callable seven-year, 8% coupon bond with coupon payable annually. The bond can be called at par in two years or anytime thereafter on a coupon payment date. It has a...
Lamda corporation wants to acquire another company within its industry for $100m and it expects the acquisition to contribute to its free cash flow by $5m the first year, and this contribution is...
Dewan INC. has several divisions, each with a manager responsible for the operations of the division. Each division of Dewan controls product design, sales, pricing, operating costs, and profits.....

Show that maxxjxxj+1 |g(x)| = h2/4, where g(x) = (x jh)(x (j + 1)h).

Question:

Step by Step Answer:

Since g j 12 h ...View the full answer

Numerical Analysis

Students also viewed these Numerical Analysis questions