Homework #6
Due: March 17, 2025
Write C programs for the following:
1. Using structures and typedef to be discussed in the #11 lecture, write a program to do complex division between two complex numbers, i.e., z1/z2.
As a demonstration, compute z1/z2 where z1 = 2.12 + 1.21 i and z2 = −2.8 + 7.8 i.
The following program computes the product of two complex numbers: 


#include <stdio.h>

typedef struct
 {double Real; double Im;} Complex;

Complex ComplexMultiply(Complex z1, Complex z2)
{
	Complex z;
	z.Real = z1.Real * z2.Real - z1.Im * z2.Im;
	z.Im = z1.Real * z2.Im + z1.Im * z2.Real;
	return z;
}


int main()
{
	Complex z1, z2, z;

        z1.Real = 0.25; z1.Im = -3.1412;
        z2.Real = 0.98; z2.Im = 1.655;        
        z = ComplexMultiply(z1, z2);

printf("The product of z1 * z2 = %lf  + %lf I.\n", z.Real, z.Im);
	return 0;
}
So you may want to write a program like: 


#include <stdio.h>

typedef struct
 {double Real; double Im;} Complex;

Complex ComplexDivide(Complex z1, Complex z2)
{
	Complex z;
	z.Real = /*your own code*/;
	z.Im =  /*your own code*/;
	return z;
}

int main()
{
	Complex z1,z2,z;

        z1.Real = -0.8; z1.Im = 2.4;
        z2.Real = 3.1;  z2.Im = -5.6;

/* Your own code to computer z1/z2 here */

printf("z1 divided by z2 is %lf + %lf I.n", z.Real, z.Im);
	return 0;
}
2. Find x for
x sin x = ex − x sin (x2),
by the Newton-Raphson method in the interval, [−2, 2].


File translated from TEX by TTH, version 4.03.
On 04 Mar 2025, 21:27.