10.4 The Math Class

The Math Class

As you have already learned, Java has built-in arithmetic operators for basic math. But what if you need to raise a number to the power of another number? What if you want a good approximation of pi? The Math class is just what you need. Below is an example program with commonly used methods and constants that are within the Math class (you do not need to import it).
System.out.println(Math.PI); // approximation of pi System.out.println(Math.E); // approximation of e System.out.println(Math.max(1, 5)); // maximum of 2 numbers System.out.println(Math.min(1, 5)); // minimum of 2 numbers System.out.println(Math.pow(2, 5)); // exponents System.out.println(Math.exp(1)); // e ^ some number System.out.println(Math.log(Math.E)); // natural log (ln) System.out.println(Math.log10(100)); // log base 10 System.out.println(Math.sqrt(25)); // square root System.out.println(Math.toRadians(60)); // convert from deg to rad System.out.println(Math.toDegrees(2 * Math.PI)); // convert from rad to deg System.out.println(Math.sin(Math.toRadians(60))); // sine (argument must be in radians!) System.out.println(Math.cos(Math.toRadians(60))); // cosine (radians!) System.out.println(Math.tan(Math.toRadians(60))); // tangent (radians!) System.out.println(Math.asin(Math.toRadians(60))); // arc/inverse sine (radians!) System.out.println(Math.acos(Math.toRadians(60))); // arc/inverse cosine (radians!) System.out.println(Math.atan(Math.toRadians(60))); // arc/inverse tangent (radians!) System.out.println(Math.abs(-5)); // absolute value System.out.println(Math.floor(5.7)); // round down to nearest integer System.out.println(Math.ceil(3.3)); // round up to nearest integer System.out.println(Math.round(3.5)); // round normally to nearest unit



Write a program called Interest, which calculates the final amount in an account which earns interest that is compounded continuously. (Don’t worry about what this means, just use this formula to calculate it.)
In the main method, prompt the user to enter the principal, annual interest rate (as a decimal), and period of time (in years). Then, print the final amount based on those values.
Use String formatting (you can use String.format() or System.out.printf() for this) to make sure that only 2 decimals are displayed.
Bonus points if you can also use formatting to include commas for large numbers (for example, try to display $1,000.00 instead of $1000.00).

Random Numbers

Fill a 4 x 6 integer array with 24 random values from 7 to 77. Use the randInt(min, max) method that is given to you to do this. To call the method, type randInt(7, 77) and assign it to an array element. For example:
list[0][0] = randInt(7, 77); Print the values in 4 rows of 6 elements. Keep track of the sum of all the values in the array. Display the sum on its own line under the array values. Keep track of the maximum and minimum value in the array. Display the max and min below the sum. Hint: You will need to set the max to Integer.MIN_VALUE and min to Integer.MAX_VALUE when you first initialize them. This ensures that when you iterate through the randomly generated numbers in your array, the max and min are updated correctly. (You can also set max to 6 and min to 78.)
Note: Interested in seeing how the randInt() method works? You can read this Stack Overflow response.


Fill a 5 x 4 integer array according to the following pattern:
Print the values in 5 rows of 4 elements. Use nested loops to fill the values into the array, rather than just declaring the values initially.
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