Homework Answers
Add Answer to:
Let ~ eri and let in be the approximation of obtained using Taylor of degree n (centered at the o...
Q. f(n) = tan (n) 1) Compute degree - 2 Taylor Polynomial of f(n) centered at...
Q. f(n) = tan (n) 1) Compute degree - 2 Taylor Polynomial of f(n) centered at ua Je 4 (2) Use the Taylo Polynomial computed to estimate to stimete ! tau (I + 0.1). 3) using the fact that If(x) <3 for o excit tool show to that tapeeestarte 4 the estimate in part (2) is correct to within an error of 0.0005. f(n) = tan (1) To a) Compute the degree a Taylor - Polynomial of fin) centered at...
Q. f(n) = tan (n) 1) Compute degree - 2 Taylor Polynomia of f(n) centered at...
Q. f(n) = tan (n) 1) Compute degree - 2 Taylor Polynomia of f(n) centered at ua Ji 12) Use the Taylo Polynomial conguted ) to estimete Itan (Italy 3) using the fact that I f (3)(x) <3 for o ex s tool show to that the ecostanate 4 the estimate in part (2) is correct to within an error of 0.0005.
let a = 35 Please show work! 2. Select a distinctive positive integer a with a > 10 that is not a perfect cube a) Use a third degree Taylor Polynomial to approximate v b) Compute an upper bound for...
let a = 35
Please show work!
2. Select a distinctive positive integer a with a > 10 that is not a perfect cube a) Use a third degree Taylor Polynomial to approximate v b) Compute an upper bound for the error made in the approximation in (a) (c) Using the output of a calculator or computer as the "exact" value of Va, compute the "exact" error in the approximation in (a).
2. Select a distinctive positive integer a with...
plz show work 1. (a) Find T5(x), the Taylor polynomial of degree 5, for Inx centered...
plz
show work
1. (a) Find T5(x), the Taylor polynomial of degree 5, for Inx centered at x = 1. (b) Evaluate Ts (3). How close is its value to In 3? (c) The interval of convergence for the Taylor series of In x centered at x= 1 is (0,2). Use the fact that Inx= - In to find a different value of x to use in Ts(x) to approximate In 3. How close is your approximation? 2. Long ago,...
Taylor series by Matlab Need Help with part b (a) Find the Taylor expansion of the...
Taylor series by Matlab
Need Help with part b
(a) Find the Taylor expansion of the function squareroot x at x = 1 so that the associated Taylor polynomial has order n. (b). Let us denote the Taylor polynomial obtained in (a) as T_n(x). Using Matlab, compute the difference between two values T_n(1.1) and squareroot 1.1 for n = 0, 1, 2, 3, respectively. Collect the above values in a table. What is your observation of the difference in two...
4. Let f()VI+ x. (a) Compute P2(x), the degree 2 Taylor polynomial for f at ro...
4. Let f()VI+ x. (a) Compute P2(x), the degree 2 Taylor polynomial for f at ro 0. (b) Use P2 to approximate f(0.5) required to evaluate a real polynomial of degree 5. How many multiplications number? Explain n at a real are 6. Show that if x, y and ry are real mumbers in the range of our floating point system, then ay-f(ry3 + O(*) ay
(10 points) Consider the function f()= Vz +1. Let Th be the nth degree Taylor approximation...
(10 points) Consider the function f()= Vz +1. Let Th be the nth degree Taylor approximation of f(10) about ar = 8. Find: Ti T2 Use 3 decimal places in your answer, but make sure you carry all decimals when performing calculations T is an (over/under) estimate of f(10). If R2 is the remainder given by the Lagrange Remainder Formula: R2S
Compute the derivative of f(t) cos(37t) on the interval 1,1) using a centered differences approximation with discretization size N 10,40 and 70. Plot the resulting approximations on the same graph as...
Compute the derivative of f(t) cos(37t) on the interval 1,1) using a centered differences approximation with discretization size N 10,40 and 70. Plot the resulting approximations on the same graph as the exact derivative. Find the maximum of the error for each of the three N values.
Compute the derivative of f(t) cos(37t) on the interval 1,1) using a centered differences approximation with discretization size N 10,40 and 70. Plot the resulting approximations on the same graph as the exact...
Problem 5. Consider least squares polynomial approximation to f(x) = cos (nx) on x E [-1,1] using...
Problem 5. Consider least squares polynomial approximation to f(x) = cos (nx) on x E [-1,1] using the inner product 1. In finding coefficients you will need to compute the integral By symmetry, an 0 for odd n, so we need only consider even n. (a) Make a change of variables and use appropriate identities to transform the integral for a to cos (Bcos 8)cos (ne) de (b) The Bessel function of even order, (x), can be defined by the...
Need answer of part b solve part b using this formula [A] Find the 3rd degree...
Need answer of part b
solve part b using this formula
[A] Find the 3rd degree Taylor Polynomial for f(x) = V centered at x = 8. Clearly show all derivatives involved as well as the values obtained from those derivatives as was done in Example 2 from Section 11.1 of the book and Examples 1 and 2 in the Unit 4.1 Summary Notes. Simplify the coefficients in your final answer (no factorials in the final answer; do not use...
Q. f(n) = tan (n) 1) Compute degree - 2 Taylor Polynomial of f(n) centered at ua Je 4 (2) Use the Taylo Polynomial computed to estimate to stimete ! tau (I + 0.1). 3) using the fact that If(x) <3 for o excit tool show to that tapeeestarte 4 the estimate in part (2) is correct to within an error of 0.0005. f(n) = tan (1) To a) Compute the degree a Taylor - Polynomial of fin) centered at...
Q. f(n) = tan (n) 1) Compute degree - 2 Taylor Polynomia of f(n) centered at ua Ji 12) Use the Taylo Polynomial conguted ) to estimete Itan (Italy 3) using the fact that I f (3)(x) <3 for o ex s tool show to that the ecostanate 4 the estimate in part (2) is correct to within an error of 0.0005.
let a = 35
Please show work!
2. Select a distinctive positive integer a with a > 10 that is not a perfect cube a) Use a third degree Taylor Polynomial to approximate v b) Compute an upper bound for the error made in the approximation in (a) (c) Using the output of a calculator or computer as the "exact" value of Va, compute the "exact" error in the approximation in (a).
2. Select a distinctive positive integer a with...
plz
show work
1. (a) Find T5(x), the Taylor polynomial of degree 5, for Inx centered at x = 1. (b) Evaluate Ts (3). How close is its value to In 3? (c) The interval of convergence for the Taylor series of In x centered at x= 1 is (0,2). Use the fact that Inx= - In to find a different value of x to use in Ts(x) to approximate In 3. How close is your approximation? 2. Long ago,...
Taylor series by Matlab
Need Help with part b
(a) Find the Taylor expansion of the function squareroot x at x = 1 so that the associated Taylor polynomial has order n. (b). Let us denote the Taylor polynomial obtained in (a) as T_n(x). Using Matlab, compute the difference between two values T_n(1.1) and squareroot 1.1 for n = 0, 1, 2, 3, respectively. Collect the above values in a table. What is your observation of the difference in two...
4. Let f()VI+ x. (a) Compute P2(x), the degree 2 Taylor polynomial for f at ro 0. (b) Use P2 to approximate f(0.5) required to evaluate a real polynomial of degree 5. How many multiplications number? Explain n at a real are 6. Show that if x, y and ry are real mumbers in the range of our floating point system, then ay-f(ry3 + O(*) ay
(10 points) Consider the function f()= Vz +1. Let Th be the nth degree Taylor approximation of f(10) about ar = 8. Find: Ti T2 Use 3 decimal places in your answer, but make sure you carry all decimals when performing calculations T is an (over/under) estimate of f(10). If R2 is the remainder given by the Lagrange Remainder Formula: R2S
Compute the derivative of f(t) cos(37t) on the interval 1,1) using a centered differences approximation with discretization size N 10,40 and 70. Plot the resulting approximations on the same graph as the exact derivative. Find the maximum of the error for each of the three N values.
Compute the derivative of f(t) cos(37t) on the interval 1,1) using a centered differences approximation with discretization size N 10,40 and 70. Plot the resulting approximations on the same graph as the exact...
Problem 5. Consider least squares polynomial approximation to f(x) = cos (nx) on x E [-1,1] using the inner product 1. In finding coefficients you will need to compute the integral By symmetry, an 0 for odd n, so we need only consider even n. (a) Make a change of variables and use appropriate identities to transform the integral for a to cos (Bcos 8)cos (ne) de (b) The Bessel function of even order, (x), can be defined by the...
Need answer of part b
solve part b using this formula
[A] Find the 3rd degree Taylor Polynomial for f(x) = V centered at x = 8. Clearly show all derivatives involved as well as the values obtained from those derivatives as was done in Example 2 from Section 11.1 of the book and Examples 1 and 2 in the Unit 4.1 Summary Notes. Simplify the coefficients in your final answer (no factorials in the final answer; do not use...
Most questions answered within 3 hours.
-
The denaturation of proteins can be described by the
equilibrium
F⇌U
where F and U represent...
asked 1 hour ago -
Please answer what the maximum and minimum force is, and the
angle on the ion is...
asked 1 hour ago -
implement a program that reads a number of rows and a symbol.
The program will draw...
asked 1 hour ago -
Assume that when adults with smartphones are randomly selected,
45% use them in meetings or classes....
asked 1 hour ago -
Determine the number of formula units of
Na2SO4 and moles of oxygen contained in 8.11
moles...
asked 1 hour ago -
Explain in steps on the following code
What would be the output when executed
using System;...
asked 1 hour ago -
Given the information in the table, which of the following
statements is CORRECT?
Stock A
Stock...
asked 1 hour ago -
Write MARIE assembly language programs that do the following:
Write a program that inputs an integer...
asked 1 hour ago -
Explain an understanding of services and protocols.
Explain the job of DNS.
Explain the three email...
asked 2 hours ago -
(As soon as possible) Balance each of the following equations
according to the half-reaction method:
H2O2(aq)...
asked 2 hours ago -
A thin rod with a mass of 3.5kg and a length L=1.5 m is oriented
horizontally....
asked 2 hours ago -
Inheritance pattern in BRCA 1
Describe the inheritance pattern of BRCA 1 Is it recessive or...
asked 2 hours ago