Chapter 6

include 3 using std::cout; 4 using std::endl; 5 6 int cube( int y ); // function prototype 7 8 int main() 9 { 10 int x; 11 1… # 1 // Exercise 6.2: Ex06_02.cpp 2 #include 3 using std::cout; 4 using std::endl; 5 6 int cube( int y ); // function prototype 7 8 int main() 9 { 10 int x; 11 12 for ( x = 1; x <= 10; x++ ) // loop 10 times 13 cout << cube( x ) << endl; // calculate cube of x and output results 14 15 return 0; // indicates successful termination 16 } // end main 17 18 // definition of function cube 19 int cube( int y ) 20 { 21 return y * y * y; 22 } // end function cube

Give the function header for each of the following functions: a. Function hypotenuse that takes two double-precision, floating-point arguments, sidel and side2, and returns a double-precision, floating-point result b. Function smallest that takes three integers, \(x, y\) and \(z,\) and returns an integer. c. Function instructions that does not receive any arguments and does not return a value. [Note: Such functions are commonly used to display instructions to a user. d. Function int To bouble that takes an integer argument, number, and returns a doubleprecision, floating-point result.

Find the error in each of the following program segments, and explain how the error can be corrected (see also Exercise 6.53 ): a. int g( void ) { cout << "Inside function g" << endl; int h( void ) { cout << "Inside function h" << endl; } } b. int sum( int x, int y ) { int result; result = x + y; } c. int sum( int n ) { if ( n == 0 ) return 0; else n + sum( n - 1 ); } d. void f ( double a); { float a; cout << a << endl; } e. void product( void ) { int a; int b; int c; int result; cout << "Enter three integers: "; cin >> a >> b >> c; result = a * b * c; cout << "Result is " << result; return result; }

rounds \(x\) to the hundredths position (the second position to the right of the decimal point). Write a program that defines four functions to round a number \(x\) in various ways: a. roundToInteger ( number ) b. roundToTenths ( number ) C. roundToHundredths ( number ) d. roundToThousandths ( number ) For each value read, your program should print the original value, the number rounded to the nearest integer, the number rounded to the nearest tenth, the number rounded to the nearest hundredth and the number rounded to the nearest thousandth.

Answer each of the following questions: a. What does it mean to choose numbers "at random?" b. Why is the rand function useful for simulating games of chance? c. Why would you randomize a program by using srand? Under what circumstances is it desirable not to randomize? d. Why is it often necessary to scale or shift the values produced by rand? e. Why is computerized simulation of real-world situations a useful technique?

Write statements that assign random integers to the variable \(n\) in the following ranges: a. \(1 \leq n \leq 2\) b. \(1 \leq n \leq 100\) c. \(0 \leq n \leq 9\) d. \(1000 \leq n \leq 1112\) e. \(1 \leq n \leq 1\) f. \(3 \leq n \leq 11\)

Write a function integerPower ( base, exponent) that returns the value of For example, integerPower \((3,4)=3 * 3 * 3 * 3 .\) Assume that exponent is a positive, nonzero integer and that base is an integer. The function integerPower should use for or while to control the calculation. Do not use any math library functions.

Write a function multiple that determines for a pair of integers whether the second is a multiple of the first. The function should take two integer arguments and return true if the second is a multiple of the first, false otherwise. Use this function in a program that inputs a series of pairs of integers.

Write a program that inputs a series of integers and passes them one at a time to function even, which uses the modulus operator to determine whether an integer is even. The function should take an integer argument and return true if the integer is even and false otherwise.

Write a function that displays at the left margin of the screen a solid square of asterisks whose side is specified in integer parameter side. For example, if side is \(4,\) the function displays the following: