Homework Answers
IF YOU HAVE ANY DOUBTS COMMENT BELOW I WILL BE THERE TO HELP YOU ALL THE BEST
code:
% input from the user
fprintf('Taylor series for solving cos x \n');
nval = input('Provide number of terms required in the expansion:
');
x = input('Provide value of x for evaluating the function :
');
% solving taylor series
errapp = 0;
for i=0:nval-1
errapp = errapp + (-1)^i * x^(2*i) / factorial(2*i);
end
% Provides output
fprintf('Approximation : %.7g \n',errapp)
fprintf('Actual value of cos x after evaluation : %.7g
\n',cos(x));
fprintf('Approximate Error : %.3g
\n',errapp-cos(x));
I HOPE YOU UNDERSSTAND..
PLS ..RATE THUMBSUP IT HELPS ME ALOT
THANKS GOODLUCK
THANK YOU....!
Add Answer to:
Setup a program that will solve for sin x using the Taylor series expansion of x. Make sure the number of terms is some type of input. Calculate approximate 1. error Setup a program that will so...
Problem 5 xx The Taylor series expansion for sin(x) is sin(x) = x -H + E-E+...
Problem 5 xx The Taylor series expansion for sin(x) is sin(x) = x -H + E-E+ = o E- (-1) . 2n +1 no (2n+1)! !57 where x is in radians. Write a MATLAB program that determines sin(x) using the Taylor series expansion. The program asks the user to type a value for an angle in degrees. Then the program uses a while loop for adding the terms of the Taylor series. If an n is the nth term in...
1. (A) Use the Taylor series expansion for the sin x to estimate sin(t/4) for the...
1. (A) Use the Taylor series expansion for the sin x to estimate sin(t/4) for the acceptable relative errors of 0.25 and 0.0025 .5 3 9 х* sin x x 3! х> 5! 7! 9! Please use the table formatting u to solve the problem
This is the given code: /** * This program uses a Taylor Series to compute a...
This is the given code:
/**
* This program uses a Taylor Series to compute a value
* of sine.
*
*/
#include<stdlib.h>
#include<stdio.h>
#include<math.h>
/**
* A function to compute the factorial function, n!.
*/
long factorial(int n) {
long result = 1, i;
for(i=2; i<=n; i++) {
result *= i;
}
return result;
}
int main(int argc, char **argv) {
if(argc != 3) {
fprintf(stderr, "Usage: %s x n ", argv[0]);
exit(1);
}
double x = atof(argv[1]);
int...
0.1 Use a Taylor series to approximate ſ sin (x“)dr with error less than 10-15
0.1 Use a Taylor series to approximate ſ sin (x“)dr with error less than 10-15
Write the Taylor series expansion of cos(x): Use the first three terms to calculate the value...
Write the Taylor series expansion of cos(x): Use the first three terms to calculate the value of cos(n/4). Use the decimal format with six significant digits (apply rounding at each step). Calculate the truncation error A- B-
The following function computes by summing the Taylor series expansion to n terms. Write a program...
The following function computes by summing the Taylor series
expansion to n terms. Write a program to print a table of using both this function and
the exp() function from the math library, for x = 0 to 1 in steps
of 0.1. The program should ask the user what value of n to use.
(PLEASE WRITE IN PYTHON)
def taylor(x, n):
sum = 1
term = 1
for i in range(1, n):
term = term * x / i...
0.1 11) Use a Taylor series to approximate ſ sin(x*)dx with error less than 10-15 0...
0.1 11) Use a Taylor series to approximate ſ sin(x*)dx with error less than 10-15 0 12) Find the surface area of x=t? y = 21 ,03t 34 about the x-axis
#1 Suppose we want to estimate sin (0.1) using the Taylor series of sin x at x = 0. (a) Find roug...
need answer for #2, which is about arctan
#1 Suppose we want to estimate sin (0.1) using the Taylor series of sin x at x = 0. (a) Find roughly a number of nonzero terms which are required to compute sin(0.1) to n decimals (you do not need to find the minimum number.) (b) Find such a number more accurately, i.e. find a smaller one, using any mathematical tech niques. You may want to use the fact related to Stirling's...
Write VBA functions to calculate sin (x) using the Maclaurin arcsine series, and compare the values...
Write VBA functions to calculate sin (x) using the Maclaurin arcsine series, and compare the values for sin-1(x) from your program to those given by the Excel spreadsheet function ASIN(x). The Maclaurin arcsine expansion is given by x 3x 6 40 (2n)! sin1(x)-2((2n+1) Note: This function by definition is only defined for-1 SxS1. When you write the code for calculating it, you will need to include code that assigns a value to it that reflects it is undefined for values...
Write a c++ program to calculate the approximate value of pi using this series. The program...
Write a c++ program to calculate the approximate value of pi using this series. The program takes an input n that determines the number of values we are going to use in this series. Then output the approximation of the value of pi. The more values in the series, the more accurate the data. Note 5 terms isn’t nearly enough. You will try it with numbers read in from a file. to see the accuracy increase. Use a for loop...
Problem 5 xx The Taylor series expansion for sin(x) is sin(x) = x -H + E-E+ = o E- (-1) . 2n +1 no (2n+1)! !57 where x is in radians. Write a MATLAB program that determines sin(x) using the Taylor series expansion. The program asks the user to type a value for an angle in degrees. Then the program uses a while loop for adding the terms of the Taylor series. If an n is the nth term in...
1. (A) Use the Taylor series expansion for the sin x to estimate sin(t/4) for the acceptable relative errors of 0.25 and 0.0025 .5 3 9 х* sin x x 3! х> 5! 7! 9! Please use the table formatting u to solve the problem
This is the given code:
/**
* This program uses a Taylor Series to compute a value
* of sine.
*
*/
#include<stdlib.h>
#include<stdio.h>
#include<math.h>
/**
* A function to compute the factorial function, n!.
*/
long factorial(int n) {
long result = 1, i;
for(i=2; i<=n; i++) {
result *= i;
}
return result;
}
int main(int argc, char **argv) {
if(argc != 3) {
fprintf(stderr, "Usage: %s x n ", argv[0]);
exit(1);
}
double x = atof(argv[1]);
int...
0.1 Use a Taylor series to approximate ſ sin (x“)dr with error less than 10-15
Write the Taylor series expansion of cos(x): Use the first three terms to calculate the value of cos(n/4). Use the decimal format with six significant digits (apply rounding at each step). Calculate the truncation error A- B-
The following function computes by summing the Taylor series
expansion to n terms. Write a program to print a table of using both this function and
the exp() function from the math library, for x = 0 to 1 in steps
of 0.1. The program should ask the user what value of n to use.
(PLEASE WRITE IN PYTHON)
def taylor(x, n):
sum = 1
term = 1
for i in range(1, n):
term = term * x / i...
0.1 11) Use a Taylor series to approximate ſ sin(x*)dx with error less than 10-15 0 12) Find the surface area of x=t? y = 21 ,03t 34 about the x-axis
need answer for #2, which is about arctan
#1 Suppose we want to estimate sin (0.1) using the Taylor series of sin x at x = 0. (a) Find roughly a number of nonzero terms which are required to compute sin(0.1) to n decimals (you do not need to find the minimum number.) (b) Find such a number more accurately, i.e. find a smaller one, using any mathematical tech niques. You may want to use the fact related to Stirling's...
Write VBA functions to calculate sin (x) using the Maclaurin arcsine series, and compare the values for sin-1(x) from your program to those given by the Excel spreadsheet function ASIN(x). The Maclaurin arcsine expansion is given by x 3x 6 40 (2n)! sin1(x)-2((2n+1) Note: This function by definition is only defined for-1 SxS1. When you write the code for calculating it, you will need to include code that assigns a value to it that reflects it is undefined for values...
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