2 Review Test Version C 1. Write a menu driven program that allows a user to specify matrices operation: add, subtract, multiply. The user should be able to enter the two matrices and choose the operation to be performed in the main function. Based upon user input, one of the functions must be called and the result must be displayed. #include <stdio.h> void add(int iaaMatrix1[2][2], int iaaMatrix2[2][2]); void subtract(int iaaMatrix1[2][2], int iaaMatrix2[2][2]); void multiply(int iaaMatrix1[2][2], int iaaMatrix2[2][2]); void add(int iaaMatrix1[2][2], int iaaMatrix2[2][2]) { int iaaMatrix3[2][2]; int i,j; for (i=0;i<2;i++) { for (j=0;j<2;j++) { iaaMatrix3[i][j] = iaaMatrix1[i][j]+iaaMatrix2[i][j]; } } printf("\nThe resulting matrix is:\n\n"); for (i=0;i<2;i++) { for (j=0;j<2;j++) { printf("%d\t",iaaMatrix3[i][j]); } printf("\n"); } } void subtract(int iaaMatrix1[2][2], int iaaMatrix2[2][2]) { int iaaMatrix3[2][2]; int i,j; for (i=0;i<2;i++) { for (j=0;j<2;j++) { iaaMatrix3[i][j] = iaaMatrix1[i][j]iaaMatrix2[i][j]; } }
printf("\nThe resulting matrix is:\n\n"); for (i=0;i<2;i++) { for (j=0;j<2;j++) { printf("%d\t",iaaMatrix3[i][j]); } printf("\n"); } } void multiply(int iaaMatrix1[2][2], int iaaMatrix2[2][2]) { int iaaMatrix3[2][2]; int i,j,k; for(i=0;i<2;i++) { for(j=0;j<2;j++) { iaaMatrix3[i][j]=0; for(k=0;k<2;k++) { iaaMatrix3[i][j] += iaaMatrix1[i][k]*iaaMatrix2[k][j]; } } } printf("\nThe resulting matrix is:\n\n"); for (i=0;i<2;i++) { for (j=0;j<2;j++) { printf("%d\t",iaaMatrix3[i][j]); } printf("\n"); } } int main(void) { int int int int { for (j=0;j<2;j++) { printf("\nEnter the value for row %d column %d for matrix 1: ",i+1,j+1); scanf("%d",&iaaMatrix1[i][j]);
i,j; iaaMatrix1[2][2]; iaaMatrix2[2][2]; iOperation;
for (i=0;i<2;i++)
} } for (i=0;i<2;i++) { for (j=0;j<2;j++) { printf("\nEnter the value for row %d column %d for matrix 2: ",i+1,j+1); scanf("%d",&iaaMatrix2[i][j]); } } do { printf("If you want to add matrices, enter 1. For subtraction enter 2 and for mulitplication enter 3\n"); scanf("%d",&iOperation); if (iOperation==1) iaaMatrix2); add(iaaMatrix1, else if(iOperation==2) subtract(iaaMatrix1, iaaMatrix2); else multiply(iaaMatrix1, iaaMatrix2); } while (iOperation<0 && iOperation>4); return(0); }
2.
Calculation of Area under a Curve
One of the applications of computers in numerical analysis is computing the area under a curve. One simple method of calculating the area under a curve is to divide the area into a number of trapezoids of same width and summing up the areas of individual trapezoids. The area of a trapezoid is given by Area = 0.5 * (h1 +h2) *b Where h1 and h2 are the heights of two sides and b is the width as shown below: Your program needs to calculate the area for a curve of the function: f(x) = x^4 +2x+ 10 between any two given limits, say, A and B. Write a function to calculate the value of f(x). Input:
Lower limit (A) Upper limit (B) Number of trapezoids Output: Total area under the curve between the given limits An example output is: Area under a curve: Enter lower limit: 0 Enter upper limit: 3 Enter number of trapezoids: 30 Total AREA = ...... (where ...... indicates the final result) #include <stdio.h> #include <math.h> int main(void) { int i; float fTemp; float fLL, fUL; int iNoTrap; float fWidth; float fArea=0; printf("Input the lower limit: \n"); scanf("%f",&fLL); printf("Input the upper limit: \n"); scanf("%f",&fUL); printf("Input the number of trapezoids: \n"); scanf("%d",&iNoTrap); fWidth= (fUL-fLL)/ (float) iNoTrap; float float float float faHeight1[100]; faHeight2[100]; faHeightTot[100]; faAreaPerTrap[100];
printf("The lower limit is: %2.1f\n",fLL); printf("The upper limit is: %2.1f\n",fUL); printf("The number of trapezoids is: %d\n",iNoTrap); fTemp=fLL; for (i=0;i<=iNoTrap+1;i++) { faHeight1[i]=pow(fTemp,4)+(2*fTemp)+10; fTemp += fWidth; } fTemp=fLL+fWidth; for (i=0;i<=iNoTrap+1;i++) { faHeight2[i]=pow(fTemp,4)+(2*fTemp)+10;
fTemp += fWidth; } for (i=0;i<iNoTrap;i++) faHeightTot[i]=faHeight1[i]+faHeight2[i]; for (i=0;i<iNoTrap;i++) faAreaPerTrap[i]=0.5*fWidth*faHeightTot[i]; for (i=0;i<iNoTrap;i++) fArea += faAreaPerTrap[i]; printf("The total area is: %3.2f",fArea); return(0); }