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These structures are defined inside the System namespace Thus, the fully qualified name for Int32 is SystemInt32 These structures offer a wide array of methods that help fully integrate the built-in numeric types into C# s object hierarchy As a side benefit, the numeric structures also define a static method called Parse( ) that converts a numeric string into its corresponding binary equivalent There are several overloaded forms of Parse( ) The simplest version for each numeric structure is shown here It performs the conversion using the default locale and numeric style (Other versions let you perform locale-specific conversions and specify the numeric style) Notice that each method returns a binary value that corresponds to the string

Structure Decimal Double Single Int64 Int32 Int16 UInt64 UInt32 UInt16 Byte SByte Conversion Method static decimal Parse(string s) static double Parse(string s) static float Parse(string s) static long Parse(string s) static int Parse(string s) static short Parse(string s) static ulong Parse(string s) static uint Parse(string s) static ushort Parse(string s) static byte Parse(string s) static sbyte Parse(string s)

4 (a) x 2 e x 2xe x 2e x + C 3 3 3 x2 3 2 ln x x 2 ln x + x 2 ln x x 2 + C (b) 2 4 4 8 e 1 2 1 = +1 (c) ln x x x 1 e (d) [ln(e x 1)]1 = ln(e + 1) 5 We do (a) and (b) x2 x (a) Let A = x 3 3 Then x +1 ln A = 3 ln x + ln(x 2 x) ln(x 3 + 1) hence d A/dx d 3 2x 1 3x 2 = ln A = + 2 3 A dx x x x x +1 Multiplying through by A gives x2 x dA = x3 3 dx x +1 3x 2 3 2x 1 + 2 3 x x x x +1

The Parse( ) methods will throw a FormatException if s does not contain a valid number as defined by the invoking type ArgumentNullException is thrown if s is null, and OverflowException is thrown if the value in s exceeds the bounds of the invoking type The parsing methods give you an easy way to convert a numeric value, read as a string from the keyboard or a text file, into its proper internal format For example, the following program averages a list of numbers entered by the user It first asks the user for the number of values to be averaged It then reads that number using ReadLine( ) and uses Int32Parse( ) to convert the string into an integer Next, it inputs the values, using DoubleParse( ) to convert the strings into their double equivalents

// This program averages a list of numbers entered by the user using System; using SystemIO;

Part I:

hence d cos x 3x 2 1 2x d A/dx = ln A = + 3 2 A dx sin x x x x Multiplying through by A gives dA = dx sin x (x 3 x) x2 cos x 3x 2 1 2 + 3 sin x x x x

class AvgNums { static void Main() { string str; int n; double sum = 00; double avg, t; ConsoleWrite("How many numbers will you enter: "); str = ConsoleReadLine(); try { n = Int32Parse(str); } catch(FormatException exc) { ConsoleWriteLine(excMessage); return; } catch(OverflowException exc) { ConsoleWriteLine(excMessage); return; } ConsoleWriteLine("Enter " + n + " values"); for(int i=0; i < n ; i++) { ConsoleWrite(": "); str = ConsoleReadLine(); try { t = DoubleParse(str); } catch(FormatException exc) { ConsoleWriteLine(excMessage); t = 00; } catch(OverflowException exc) { ConsoleWriteLine(excMessage); t = 0; } sum += t; } avg = sum / n; ConsoleWriteLine("Average is " + avg); } }

Here is a sample run:

One other point: You must use the right parsing method for the type of value you are trying to convert For example, trying to use Int32Parse( ) on a string that contains a floating-point value will not produce the desired result

If any of these events occur in Florida, and we have two factories there, both of them would be affected, and thus our potential exposure would be doubled 8 It s easy to understand why some of us lean toward selecting Florida but we should use objective, not subjective, criteria to make the decision

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