#include <stdio.h> #include <stdlib.h> #include <math.h> /* * Name: Azogu, Chibuzo Desmond * Variant: Method 5, Function 48 * Description: The program calculates the function y(x) in already defined points. It allows user input for; starting value A, stop value B, steps coefficient C and step value H. It then calculates the function y(x) until function value exceeds B and N <= 15 (Where N = number of total points). */ int main(void) { float A, B, H, C; // Variable declaration int N; printf("Enter starting value (A): "); // User inputs start value scanf("%f", & A); printf("Enter stop value (B): "); // User inputs stop value scanf("%f", & B); do { printf("Enter steps coefficient (C): "); // User inputs coefficient of step scanf("%f", & C); if (C < 1) // checks if the step value is greater than 0. { printf("Step coefficient must be greater than or equals to 1!\n"); } } while (C < 1); do { printf("Enter Total Number of Points (N): "); // User inputs number of iterations desired scanf("%d", & N); if (N <= 0 || N > 15) // checks if the number of points is less than or equal to 0 or if the value is greater than 15. { printf("Number of points must be greater than 0 and less or equals to 15!\n"); } } while (N <= 0 || N > 15); do { printf("Enter Step Value (H): "); scanf("%f", & H); if (H <= 0) // checks if the step value is greater than 0. { printf("Step value must be greater than 0!\n"); } } while (H <= 0); printf("\nNumber\t\t Argument(x)\t\t Function y(x) \n"); int num = 0; float x; float sequenceSum; for (int i = 0; i <= N; i++) // For loop is dependent on the user's input of 'N'. { if (i == 0) { x = A; sequenceSum = x; } else { x = sequenceSum + (H * pow(C, i - 1)); // equation for each iteration of X[n] sequenceSum = x; } float y = (14 * pow(x, 3) + 7 * pow(x, 2) - x + 20) / (pow(x, 2) - 4 * x); //Equation for y(x) num++; if (y <= B) // Satisfies the condition "Until function value exceeds B". { printf("%d. \t\t x=%.f \t\ty(x) = %.2lf\n", num, x, y); // prints out the values of y(x) equivalent to the x values } else { printf("%d. \t\t x=%.f \t\t\ty(x) = N/A \n", num, x, y); // If function value exceeds B, then y(x) is not available/not defined. } } return 0; }