Question: 3. [8 points.) Consider the problem of approximating the integral 1 1m = f was) f(w)drc with weight function w(:c) = ln(%) on the integration

3. [8 points.) Consider the problem of approximating the integral 1 1m = f was) f(w)drc with weight function w(:c) = ln(%) on

the integration interval (a,b) = (0,1). Derive the two point Gaussian quadrature

formula (n = 2) for this problem, that is, specify the numerical

3. [8 points.) Consider the problem of approximating the integral 1 1m = f was) f(w)drc with weight function w(:c) = ln(%) on the integration interval (a,b) = (0,1). Derive the two point Gaussian quadrature formula (n = 2) for this problem, that is, specify the numerical values of the two nodes 331, 62 and weights M1, M2. (State your result clearly in the form of a quadrature rule [2( f) = w1f(:c1) + 102 f (232) with the nodes ordered naturally, that is, 231

Step by Step Solution

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!

# 5: Fourier Interpolant and DFT 1 The Discrete Fourier Transform (DFT) of a periodic array fj , for j = 0, 1, . . . , N 1 (corresponding to data at equally spaced points, starting at the left end...

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...

Help with these questions Exercise 1 (20 points) 2. (20 points) We consider the overlapping-generations model of Lecture 4, with 8 = 1/2: U = log(#) + ;log(c*+,) We denote the (net) real interest...

Answer all macro quiz... Question 3 (20 points) Consider the following decentralized real business cycle model. The representative household has preferences over consumption and leisure. Expected...

buckley (jdb4687) - Review - beshaj - (53521) This print-out should have 60 questions. Multiple-choice questions may continue on the next column or page - find all choices before answering. Find the...

Question 1 of 40 2.5 Points Use properties of logarithms to expand the following logarithmic expression as much as possible. log b (x 2 y) / z 2 A. 2 log b x + log b y - 2 log b z B. 4 log b x - log...

2 solve all of them. (8) [10 points] Suppose that the central bank strictly followed a rule of keeping the real interest rate at 3% per year. That rate happens to be the real interest rate consistent...

Please explain in short summary c) By linearizing the equilibrium condition governing the optimal degree of utiliza tion, show that it = an + ake + ( 1 - @ ) Ni+- ( 1 - at E ) (at - (1 - a)k+...

Calculus 2 : Section 6.5: Problem 1 [1 point) Given the following integral and value of n, approximate the following integral using the methods indicated (round your answers to six decimal places): 1...

A solid round bar of aluminum having diameter d (see figure) is compressed by an axial force P = 175 kN. The bar has pinned supports and is made of alloy 2014-T6. (a) If the diameter d = 40 mm, what...

a. Do you expect the opportunity cost of producing ethanol in the United States to have increased since 2003? Explain why. b. Do you think the United States has achieved production efficiency in its...

Child thoed amneela is a theory that states that chilldren cannet recall memortes before what ege? a ) 3 years old b ) 7 yeess old c ) 5 years old d ) 9 years cid

Elaborate on the significance of performance ratios on measuring the performance of organisational operations.

6. What information processes operate in communication situations?

3. How can we use information and communication to generate trust?

4. How can we use information and communication to influence other people?