Homework Answers
CODE
import math
def mysin(x):
sum = 0
term = 1
i = 0
while(term > 10**(-6)):
term = x**(2*i+1)/math.factorial(2*i+1)
if i % 2 == 1:
sum -= term
else:
sum += term
i += 1
return sum
print(mysin(2))
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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...
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Use in MATLab
(b) Write a computer program to calculate ex as an approximate series summation, to an accuracy of 1010. The value of x should be supplied to the program with the "input" command. Do not run the program.
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a.) Write a C++ program that calculates the value of the series
sin x and cos x, sin 2x or cos 2x where the user enters the value
of x (in degrees) and n the number of terms in the series. For
example, if n= 5, the program should calculate the sum of 5 terms
in the series for a given values of x. The program should use
switch statements to determine the choice sin x AND cos x, sin...
Problem1. Write a C program, called cos.approx.c, that computes the approximate value of cos(x) according to its Tavlor series expansion: (-1)"r2n (2n)! x2 x4x6x8x10 cos(x)-Σ 1 This series produces the exact value of cos(x) for any real number x, but contains an infinite number of terms. Obviously, a computer program can compute only a finite number of terms. Thus, you will have to truncate the infinite series in (1). Your program should be able to do so in two different...
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Programming Assignment 3 CSCI 251, Fall 2015 Infinite Series Trigonometric and math functions are usually calculated on computers using truncated Taylor series (an infinite series). An infinite series is an infinite set of terms whose sum is a particular function or expression. For example, the infinite series used to evaluate the natural log of a number is (x - 1)2 (x-1)3 (x-1)* (x-1)5 2 4 where x E (0, 2], or 0
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...
Use in MATLab
(b) Write a computer program to calculate ex as an approximate series summation, to an accuracy of 1010. The value of x should be supplied to the program with the "input" command. Do not run the program.
(b) Write a computer program to calculate ex as an approximate series summation, to an accuracy of 1010. The value of x should be supplied to the program with the "input" command. Do not run the program.
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