Лабораторная работа № 8. Решение инженерных задач на основе циклических программ

Метод трапеций

cos³(x)

a = 4, b = 7

#include <iostream>

using namespace std;

void main()

{

float a = 4, b = 7, n = 2000, h, x, s = 0;

h = (b - a) / n;

x = a;

for (int i = 1; i <=n; i++)

{

s += h*(pow(cos(x), 3) + pow(cos(x + h), 3))/2;

x += h;

if (int(x) > (b - h))

{ cout << "Vivod " << s << endl;}

}

}

Метод парабол

cos³(x)

a = 4, b = 7

#include <iostream>

using namespace std;

void main()

{

float a = 4, b = 7, n = 200, h, z, x, s1 = 0, s2 = 0;

h = (b - a) / 2/n;

x = a + 2*h;

for (int i = 1; i < n; i++)

{

s2 += cos(x)*cos(x)*cos(x) ;

x += h;

s1 += cos(x)*cos(x)*cos(x);

x += h;

}

z = h/3*(cos(a)*cos(a)*cos(a) + 1 + 4*(pow(cos(a + h), 3)) + 4*s1 + 2*s2 + cos(b)*cos(b)*cos(b) + 1);

cout << z << endl;

}

Метод косательных

cos(x) + x – 7

#include <iostream>

using namespace std;

void main()

{

float a, b, e = 0.0001, x, x1;

cout << "a= ";

cin >> a;

cout << "b= ";

cin >> b;

if ((cos(a) + a - 7)*(-cos( a)) > 0)

x1 = a;

else x1 = b;

x = x1;

x1 = x - (cos(x) + x - 7) / (1-sin(x));

while(abs(x1 - x) > e)

{

x = x1;

x1 = x - (cos(x) + x - 7) / (1-sin(x));;

}

cout << x1 << endl;

}

Метод дихотомии

cos(x) + x – 7

#include <iostream>

using namespace std;

void main()

{

float a, b, e = 0.0001, x, x1;

cout << "a= ";

cin >> a;

cout << "b= ";

cin >> b;

while(abs(a - b) > 2*e){

x = (a+b)/2;

if (((cos(x)+x-7)*(cos(a)+a-7)) <= 0)

b = x;

else a = x;

}

cout << x << endl;

}

1. #include <iostream>

#include <math.h>

using namespace std;

int main()

{

setlocale (0,"");

int const n=8;

int K[n];

for (int i=0;i<n;i++)

{

cin >> K[i];

}

int L[n];

int M[n];

int l=0;

int m=0;

for (int i=0;i<n;i++)

{

if (K[i]%2==0)

{

L[l]=K[i];

l++;

}

else

{

M[m]=K[i];

m++;

}

}

cout << "четные=" << l << endl;

cout << "L:";

for (int i=0;i<l;i++)

{

cout << L[i] << " ";

}

cout << endl;

cout << "нечетные=" << m << endl;

cout << "M:";

for (int i=0;i<m;i++)

{

cout << M[i] << " ";

}

return 0;

}

2. #include <stdlib.h>

#include <iostream>

using namespace std;

int main()

{

const int count = 10;

int k[count];

for (int i = 0; i < count; i++)

{

k[i] = rand();

cout<<k[i]<<" ";

}

cout<<endl;

int min = 0, max = 0;

for (int i = 0; i < count; i++)

{

if (k[i] < k[min])

min = i;

if (k[i] >k[max])

max = i;

}

int tmp = k[max];

k[max] = k[min];

k[min] = tmp;

for (int i = 0; i < count; i++)

{

cout<<k[i]<<" ";

}

cout<<endl;

}