Homework Answers
Add Answer to:
numerical methods
2+17), j = 0,1...... Problem 1: Recall that the Chebyshev nodes x0, 71,..., are...
Problem 1: Recall that the Chebyshev nodes 20, 21, ...,.are determined on the interval (-1,1) as...
Problem 1: Recall that the Chebyshev nodes 20, 21, ...,.are determined on the interval (-1,1) as the zeros of Tn+1(x) cos((n + 1) arccos(x)) and are given by 2; +17 Tj = COS , j = 0,1,...n. n+1 2 Consider now interpolating the function f(x) = 1/(1 + x2) on the interval (-5,5). We have seen in lecture that if equispaced nodes are used, the error grows unbound- edly as more points are used. The purpose of this problem is...
class: numerical analysis I wish if it was written in block letter Sorry I can't read...
class: numerical analysis
I wish if it was written in block letter
Sorry I can't read cursive
= COS Problem 1: Recall that the Chebyshev nodes x4, x1,...,xy are determined on the interval (-1,1] as the zeros of Tn+1(x) = cos((n + 1) arccos(x)) and are given by 2j +10 Xj j = 0,1, ... 1 n+1 2 Consider now interpolating the function f(x) = 1/(1 + x2) on the interval (-5,5). We have seen in lecture that if equispaced...
QUESTION: Show= (y − y0* )(y − y1*) . .(y − yn* ) = 5 it...
QUESTION: Show= (y − y0* )(y −
y1*) . .(y − yn* ) = 5
it is Part 1 at the bottom
We were unable to transcribe this image(7+17) Problem 1: Recall that the Chebyshev nodes x7, x1,...,x* are determined on the interval (-1,1] [-1, 1) as the zeros of Tn+1(x) = cos((n + 1) arccos(x)) and are given by 2j +12 X; - cos j = 0,1, ... n. n+1 2 Consider now interpolating the function f(x) = 1/(1+x2)...
Part I: Show that (y − y ∗ 0 )(y − y ∗ 1 ). ....
Part I: Show that (y − y ∗ 0 )(y − y ∗ 1 ). . .(y − y ∗ n ) = 5
n+1 2 n Tn+1(x), where x = y/5
Part II: It can be shown that there exists R > 0 such that |f
(n) (y)| ≤ Rn for all y ∈ [−5, 5]. Assuming this, show that limn→∞
max{|f(y) − Pn(y)|, y ∈ [−5, 5]} = 0
Ij = COS Problem 1: Recall that the Chebyshev...
2. The polynomial p of degree n that interpolates a given function f at n+1 prescribed nodes is u...
Please answer problem 4, thank you.
2. The polynomial p of degree n that interpolates a given function f at n+1 prescribed nodes is uniquely defined. Hence, there is a mapping f -> p. Denote this mapping by L and show that rl Show that L is linear; that is, 3. Prove that the algorithm for computing the coefficients ci in the Newton form of the interpolating polynomial involves n long operations (multiplications and divisions 4. Refer to Problem 2,...
Problem 4 Computer Problem: Before beginning this problem, copy the file interppoly.a ile in the ...
I only need help with part C.
Below is interppoly.m
Problem 4 Computer Problem: Before beginning this problem, copy the file interppoly.a ile in the assignment folder to the directory you will be sing when you start up Matlab a): Let e, -[一6,5, Rr each degree n-4,8, 16, and 32, plt over the interval (내 the error function e(r)-f(r)-Po(x), where f(z-1/(1 +r') nd P() is the polynoenial of degree which interpolates f at the equally spaced interpolation points r +16-a),i0...
The code provided solves the boundary value problem 2 dr2 cos(a), J(1) , y(5)2.on the interval To...
Please provide code and final answer.
The code provided solves the boundary value problem 2 dr2 cos(a), J(1) , y(5)2.on the interval Toxksusing a Centred approximation of the derivative term and N= 100 nodes 1 we% Matlab code for the solution of Module 2 3 xright=5; 4 N 100; 5 x-linspace(xleft,xright,N); x x'; %this just turns x into a column vector dx- 7 (xright-xleft)/(N-1); %If theres N nodes, theres N-1 separations . 9 yright 2; 10 here is the matrix...
ANSWER 1 & 2 please. Show work for my understanding and upvote. THANK YOU!! Problem 1....
ANSWER 1 & 2 please. Show work for my understanding and
upvote. THANK YOU!!
Problem 1. Let {x,n} and {yn} be two sequences of real numbers such that xn < Yn for all n E N are both convergent, then lim,,-t00 Xn < lim2+0 Yn (a) (2 pts) Prove that if {xn} and {yn} Hint: Apply the conclusion of Prob 3 (a) from HW3 on the sequence {yn - X'n}. are not necessarily convergent we still have: n+0 Yn and...
Problem 2. In this problem we consider the question of whether a small value of the...
Problem 2. In this problem we consider the question of whether a small value of the residual kAz − bk means that z is a good approximation to the solution x of the linear system Ax = b. We showed in class that, kx − zk kxk ≤ kAkkA −1 k kAz − bk kbk . which implies that if the condition number kAkkA−1k of A is small, a small relative residual implies a small relative error in the solution....
Problem 2. Consider the following joint probabilities for the two variables X and Y. 1 2...
Problem 2. Consider the following joint probabilities for the two variables X and Y. 1 2 3 .14 .25 .01 2 33 .10 .07 3 .03 .05 .02 Find the marginal probability distribution of Y and graph it. Show your calculations. b. Find the conditional probability distribution of Y (given that X = 2) and graph it. Show your calculations. c. Do your results in (a) and (b) satisfy the probability distribution requirements? Explain clearly. d. Find the correlation coefficient...
Problem 1: Recall that the Chebyshev nodes 20, 21, ...,.are determined on the interval (-1,1) as the zeros of Tn+1(x) cos((n + 1) arccos(x)) and are given by 2; +17 Tj = COS , j = 0,1,...n. n+1 2 Consider now interpolating the function f(x) = 1/(1 + x2) on the interval (-5,5). We have seen in lecture that if equispaced nodes are used, the error grows unbound- edly as more points are used. The purpose of this problem is...
class: numerical analysis
I wish if it was written in block letter
Sorry I can't read cursive
= COS Problem 1: Recall that the Chebyshev nodes x4, x1,...,xy are determined on the interval (-1,1] as the zeros of Tn+1(x) = cos((n + 1) arccos(x)) and are given by 2j +10 Xj j = 0,1, ... 1 n+1 2 Consider now interpolating the function f(x) = 1/(1 + x2) on the interval (-5,5). We have seen in lecture that if equispaced...
QUESTION: Show= (y − y0* )(y −
y1*) . .(y − yn* ) = 5
it is Part 1 at the bottom
We were unable to transcribe this image(7+17) Problem 1: Recall that the Chebyshev nodes x7, x1,...,x* are determined on the interval (-1,1] [-1, 1) as the zeros of Tn+1(x) = cos((n + 1) arccos(x)) and are given by 2j +12 X; - cos j = 0,1, ... n. n+1 2 Consider now interpolating the function f(x) = 1/(1+x2)...
Part I: Show that (y − y ∗ 0 )(y − y ∗ 1 ). . .(y − y ∗ n ) = 5
n+1 2 n Tn+1(x), where x = y/5
Part II: It can be shown that there exists R > 0 such that |f
(n) (y)| ≤ Rn for all y ∈ [−5, 5]. Assuming this, show that limn→∞
max{|f(y) − Pn(y)|, y ∈ [−5, 5]} = 0
Ij = COS Problem 1: Recall that the Chebyshev...
Please answer problem 4, thank you.
2. The polynomial p of degree n that interpolates a given function f at n+1 prescribed nodes is uniquely defined. Hence, there is a mapping f -> p. Denote this mapping by L and show that rl Show that L is linear; that is, 3. Prove that the algorithm for computing the coefficients ci in the Newton form of the interpolating polynomial involves n long operations (multiplications and divisions 4. Refer to Problem 2,...
I only need help with part C.
Below is interppoly.m
Problem 4 Computer Problem: Before beginning this problem, copy the file interppoly.a ile in the assignment folder to the directory you will be sing when you start up Matlab a): Let e, -[一6,5, Rr each degree n-4,8, 16, and 32, plt over the interval (내 the error function e(r)-f(r)-Po(x), where f(z-1/(1 +r') nd P() is the polynoenial of degree which interpolates f at the equally spaced interpolation points r +16-a),i0...
Please provide code and final answer.
The code provided solves the boundary value problem 2 dr2 cos(a), J(1) , y(5)2.on the interval Toxksusing a Centred approximation of the derivative term and N= 100 nodes 1 we% Matlab code for the solution of Module 2 3 xright=5; 4 N 100; 5 x-linspace(xleft,xright,N); x x'; %this just turns x into a column vector dx- 7 (xright-xleft)/(N-1); %If theres N nodes, theres N-1 separations . 9 yright 2; 10 here is the matrix...
ANSWER 1 & 2 please. Show work for my understanding and
upvote. THANK YOU!!
Problem 1. Let {x,n} and {yn} be two sequences of real numbers such that xn < Yn for all n E N are both convergent, then lim,,-t00 Xn < lim2+0 Yn (a) (2 pts) Prove that if {xn} and {yn} Hint: Apply the conclusion of Prob 3 (a) from HW3 on the sequence {yn - X'n}. are not necessarily convergent we still have: n+0 Yn and...
Problem 2. Consider the following joint probabilities for the two variables X and Y. 1 2 3 .14 .25 .01 2 33 .10 .07 3 .03 .05 .02 Find the marginal probability distribution of Y and graph it. Show your calculations. b. Find the conditional probability distribution of Y (given that X = 2) and graph it. Show your calculations. c. Do your results in (a) and (b) satisfy the probability distribution requirements? Explain clearly. d. Find the correlation coefficient...
Most questions answered within 3 hours.
-
Brown Corporation makes four products in a single facility.
These products have the following unit product...
asked 1 minute from now -
20% of all customers subscribe to phone service.
70% of all customers subscribe to internet service....
asked 15 minutes ago -
Write a program to solve the Josephus problem, with the following
modification:
Sample Input:
./a.out n...
asked 2 hours ago -
At the start of a CD it is spinning at a rate of 525 rpm
(revolutions...
asked 3 hours ago -
4. Without doing any calculations, predict whether the observed
∆T would increase, decrease or remain the...
asked 4 hours ago -
Based on the range, which of the following sets of scores has
the greatest variability? 3,...
asked 5 hours ago -
Ripples in a pond travel at a velocity of 3 m/s with one peak
passing a...
asked 5 hours ago -
A man stands on the roof of a building of height 13.0 mm and
throws a...
asked 5 hours ago -
The extent to which assets are financed by borrowed funds and
other liabilities is indicated by:...
asked 6 hours ago -
Explain in detail
Germany is the fifth largest economy
explain what goods and services Germany specializes...
asked 7 hours ago -
The density of platinum is 21.45 g/mL. If a cube of platinum
with a mass of...
asked 7 hours ago -
Accounts Receivable
Sales
A/R Posting
Extended Sales Invoice
Packing Slip
Compare invoice to packing slip 2...
asked 7 hours ago