Question

Problem Description: Create a mathematics library with the following
functionality.
 calculate the absolute value of an integer number
 calculate the power given an integer base and a positive integer exponent
 calculate the square of an integer number
 determine if an integer is an even
 determine if an integer is prime
Write a Java program to do the following:
1. Calculate the absolute value, square, cube (i.e., 3rd power) of the integers 2
through 7.
2. Determine if the integers from 2 through 7 are even or primes.
Requirements:
In addition to fulfilling the conditions described above your program must also
…
1. Have the main class named ‘MathLibs’
2. Have user defined methods to perform the bulleted actions listed above.
3. Operate without receiving any input from the user or a file.
4. You are not allowed you use any existing math methods (e.g., Math.pow,
etc).
5. Your output should match up with the sample output provided below.
Hints:
1. Use Lab 7 as a starting point.
2. To calculate the nth power of a number, multiply the number by itself n
times (e.g., 3 to the 5 power is 3 * 3 * 3 * 3 * 3)
3. To determine if a number n is a prime, any positive integer less than n will
not divide evenly into it (except for 1). There is also a video over checking if a
number is prime.
4. Start by writing all of the methods. Then in the main method, have a for
loop which runs from 2 to 7 and calls methods.

Sample output: Abs. value of 2 is 2 2 squared is 4 2 cubed is 8 Is 2 even? true Is 2 prime true Abs. value of 3 is 3 3 squared is 9 3 cubed is 27 Is 3 even? false Is 3 prime true Abs. value of 4 is 4 4 squared is 16 4 cubed is 64 Is 4 even? true Is 4 prime false Abs value of 5 is 5 5 squared is 25 5 cubed is 125 Is 5 even? false Is 5 prime true Abs value of 6 is 6 6 squared is 36 6 cubed is 216 Is 6 even true Is 6 prime false Abs. value of 7 is 7 7 squared is 49 7 cubed is 343 Is 7 even? false Is 7 prime true

Remember: Use good programming practices such as proper use of white space, sufficient in-line comments to explain your code

Answer 1

Here is the code for you:

public class MathLibs {

public static void main(String[] args) {

/* Print some stats on -5, 0 and 5
for(int i = -5; i <=5; i += 5) {
System.out.println("|" + i + "| is " + absValue(i));
System.out.println("Is " + i + " odd? " + isOdd(i));
printMagnitude(i);
System.out.println("---");
}*/
for(int i = 2; i <= 7; i++) {
{
    System.out.println("Abs. value of " + i + " is " + absValue(i));
   System.out.println(i + " squared is " + squared(i));
   System.out.println(i + " cubed is " + cubed(i));
   System.out.println("Is " + i + " even? " + isEven(i));
   System.out.println("Is " + i + " prime? " + isPrime(i));
   System.out.println("---");
}  
}
}

/**************************************************************************
* absValue - Calculates the absolute value of an integer number
*
* int x - The number whose absolute value is to be determined
* return int - The absolute value (i.e., distance from 0) for x, the given int
*/
public static int absValue(int x) {

if(x < 0)
   return -x;
return x;  
}
  
/**************************************************************************
* squared - Calculates the square of an integer number
*
* int x - The number whose square is to be determined
* return int - The square value for x, the given int
*/
public static int squared(int x) {

return x * x;
}
  
/**************************************************************************
* cubed - Calculates the cube of an integer number
*
* int x - The number whose cube is to be determined
* return int - The cube value for x, the given int
*/
public static int cubed(int x) {

return x * x * x;
}
  
/**************************************************************************
* isEven - Determines if an integer value is even
*   
* int x - The number whose evenness is to be checked
* return boolean - Indicates if the given integer is even.
*/
public static boolean isEven(int x) {
  
if(x % 2 == 0)
   return true;
return false;  
}
  
/**************************************************************************
* isPrime - Determines if an integer value is prime
*   
* int x - The number whose primeness is to be checked
* return boolean - Indicates if the given integer is prime.
*/
public static boolean isPrime(int x) {
  
boolean flag = false;
for(int i = 2; i <= x/2; i++)
   if(x % i == 0)
       return false;
return true;    
}
  
/**************************************************************************
* isOdd - Determines if an integer value is odd
*   
* int x - The number whose oddness is to be checked
* return boolean - Indicates if the given integer is odd.
*/
public static boolean isOdd(int x) {
  
if(x % 2 == 0)
   return false;
return true;  
}
  
  
/**************************************************************************
* printMagnitude - Prints a message to the display containing
* the distance of an integer value from 0 (i.e., magnitude)
*   
* int x - The number whose magnitude is to be determined and displayed
*/
public static void printMagnitude(int x) {
               System.out.println("The distance of " + x + " from 0 is: " + absValue(x));
  
}
  
  
}

And the output screenshot is:

Terminal Shell Edit View Window Help イ日0 < >し令도 4) 100%00 Sat 11 Mar 02:18 ANANDA KUMAR THUMMAPUDI e E Currently Open Docum ArrayArithmet. data.txt GeneralFile.txt MathLibs.java PrimesinRang HomeworkLibJava bash-119x39 System.out.println("Abs. value of"i System.out.printlni squared is "+ System.out.printlni cubed is"+ System.out.println("Is" +i+ even? System.out.println("Is "+i +"prime? System.out.println(""); 14 IHomeworkLibJava bash 16 Macintosh:HomeworkLibJava AnandaKunarThumnapudis javac MathLibs.java !Macintosh: HomeworkLibJava AnandaKuna rThummapudis java MathLǐbs Abs. value of 2 is 2 2 squared is 4 2 cubed is B Is 2 even? true Is 2 prine? true Abs. value of 3 is 3 * absValue Calculates the absolute value of an in 3 squared is 9 3 cubed is 27 int x -The number whose absolute value is to be Is 3 even? false x return int - The absolute value (i.e., distance fIs 3 prine? true Abs. value of 4 is 4 4 squared is 16 4 cubed is 64 Is 4 even? true Is 4 prine? false public static int absValue(int x) f if (x < 0) return-X; return x; Abs. value of 5 is 5 5 squared is 25 5 cubed is 125 * squared - Calculates the square of an integer num Is 5 even? false Is 5 prine? true * int x The number whose square is to be deter *return int - The square value for x, the given in Abs. value of 6 is 6 6 squared is 36 6 cubed is 216 Is 6 even? true Is 6 prine? false public static int squared (int x) return x*x Abs. value of 7 is 7 7 squared is 49 7 cubed is 343 cubed - Calculates the cube of an integer number Is 7 even? falste Is 7 prine? true * int x- The number whose cube is to be determined--- * return int The cube value for x, the given int Macintosh:HomeworkLibJava AnandaKunarThummapudis public static int cubed (int x) £ returnx*x*X 58 60 * isEven Determines if an integer value is even nicode (UTF-8) Saved: 11/03/17, 2:17:58 AM 4,255 / 381 / 113 100%