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AB = (3 + j 3)(1 + j 3) = 3 + j 3 3 + j 3 + j 2 3 3 = (3 + j 2 3 3) + j (3 + j 3 3) = (3 3 3) + j (3 + j 3 3)

To obtain the answer in polar form, we need to convert A and B to their polar forms: A = 3 2ej 45 = 3 2 45 B = 4ej 60 = 2 60 Then, AB = (3 2ej 45 )( 4ej 60 ) = 6 2 105

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(b) To nd A B in rectangular form, we can multiply A and B by B A 3 + j3 1 j 3 = B 1+j 31 j 3 Then, (3 + 3 3) + j (3 3 3) A = B 4

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while (dr.Read()) { lstResults.Items.Add (dr.GetInt32 (dr.GetOrdinal("OrderID")) + " " + dr.GetDateTime(dr.GetOrdinal ("Orderdate"))); intCount += 1; } MessageBox.Show(intCount + " rows qualified"); } else { MessageBox.Show("no rows returned"); } dr.Close(); cn.Close(); There s much more to learn about ADO.NET, how much you need to learn will depend on the complexity of the application you are testing and the test requirements. There are more references for ADO.NET in Appendix C. You are not quite done learning about ADO.NET though. There are some new controls available in Visual Studio s web applications that can be very useful. You ll look at those next.

In polar form, the same operation may be performed as follows: 3 2 45 3 2 3 2 A B= (45 60 ) = 15 = 2 60 2 2

Euler s Identity This formula extends the usual de nition of the exponential function to allow for complex numbers as arguments Euler s identity states that ej = cos + j sin (A21)

All the standard trigonometry formulas in the complex plane are direct consequences of Euler s identity The two important formulas are: cos = ej + e j 2 sin = ej e j 2j (A22)

Using Euler s formula ej = cos + j sin Extending the above formula, we can obtain e j = cos( ) + j sin( ) = cos j sin Thus, cos = ej + e j 2

A4 In a certain AC circuit, V = ZI where Z = 775 90 and I = 2 45 Find V A5 In a certain AC circuit, V = ZI where Z = 5 82 and V = 30 45 Find I A6 Show that the polar form of AB in Example A4 is equivalent to its rectangular

So far, all of your database testing has used a Windows Form application. Of course, you can do essentially the same tasks using a Console or Web application. Additionally for Web applications, there are a few new controls available for web development that make database access a lot easier. As you will see in 9, a .NET web application can use scripts to link to, open, extract, and iterate records in a database, but all of this processing has been encapsulated in single controls coded declaratively on the web page. You can add these data source controls directly to your web page and set properties that they will use to handle retrieving and displaying the data you want. The available data source controls are the following: Access data source control SQL data source control XML data source control Object data source control The Access data source control is used specifically to connect to Microsoft Access databases. The SQL data source control, however, isn t just for Microsoft SQL Server databases; you can also use it for any database. It can be set up to use any of the four connection libraries: OleDb, ODBC, SqlClient, and OracleClient. The XML data source control can be used with XML data stores. The Object data source control is intended for use with middleware objects, such as classes and class libraries and other components.

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