METHODS - Introduction to Java Programming - page 215

*5.14

( Estimate p ) p can be computed using the following series:

1) i + 1 ( -

VideoNote

1
3 +

1
5 -

1
7 +

1
9 -

1
11 + c +

m ( i ) = 4 ¢ 1 -

1 ≤

Estimate p

2 i -

Write a method that returns m(i) for a given i and write a test program that dis-
plays the following table:
i m(i)
1 4.0000
101 3.1515
201 3.1466
301 3.1449
401 3.1441
501 3.1436
601 3.1433
701 3.1430
801 3.1428
901 3.1427

*5.15

( Financial application: print a tax table ) Listing 3.6 gives a program to compute
tax. Write a method for computing tax using the following header:
public static double computetax( int status, double taxableIncome)
Use this method to write a program that prints a tax table for taxable income from
$50,000 to $60,000 with intervals of $50 for all the following statuses:

Taxable Single Married Joint Married Head of

Income or Qualifying Separate a House

Widow(er)

50000 8688 6665 8688 7352

50050 8700 6673 8700 7365

...
59950 11175 8158 11175 9840

60000 11188 8165 11188 9852

*5.16

( Number of days in a year ) Write a method that returns the number of days in a
year using the following header:

public static int numberOfDaysInAYear( int year)
Write a test program that displays the number of days in year from 2000 to 2020.

Sections 5.10-5.11
*5.17

( Display matrix of 0s and 1s ) Write a method that displays an n -by- n matrix using
the following header:
public static void printMatrix( int n)
Each element is 0 or 1, which is generated randomly. Write a test program that
prompts the user to enter n and displays an n -by- n matrix. Here is a sample run:

3

Enter n:
0 1 0
0 0 0
1 1 1