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Table 4-2 shows the order of precedence for all C# operators, from highest to lowest This table includes several operators that will be discussed later in this book

Highest () ! * + << < == & ^ | && || : = Lowest op= => [] ~ / >> > != <= >= is as (cast) % ++ (postfix) + (unary) (postfix) (unary) checked ++ (prefix) new (prefix) > sizeof typeof & (address of) unchecked

Use the method of cylindrical shells to calculate the volume enclosed when the curve y = x 2 , 0 x 3, is rotated about the x-axis (Figure 820)

TABLE 4-2

his chapter discusses C# s program control statements There are three categories of program control statements: selection statements, which are the if and the switch; iteration statements, which consist of the for, while, do-while, and foreach loops; and jump statements, which include break, continue, goto, return, and throw Except for throw, which is part of C# s exception-handling mechanism and is discussed in 13, the others are examined here

2 introduced the if statement It is examined in detail here The complete form of the if statement is if(condition) statement; else statement; where the targets of the if and else are single statements The else clause is optional The targets of both the if and else can be blocks of statements The general form of the if using blocks of statements is if(condition) { statement sequence } else { statement sequence } If the conditional expression is true, the target of the if will be executed; otherwise, if it exists, the target of the else will be executed At no time will both of them be executed The conditional expression controlling the if must produce a bool result Here is a simple example that uses an if and else to report if a number is positive or negative:

We reverse, in our analysis, the roles of the x- and y-axes Of course y ranges from 0 to 9 For each position y in that range, there is a segment stretching from x = y to x = 3 Thus it has length 3 y Then the cylinder generated when this segment (thickened to a strip of width y) is rotated about the x-axis has volume V ( y) = 2 y [3

// Determine if a value is positive or negative using System;

1 Mindy wanted to apply for the newly created position Tom did not 2 Mindy wanted to apply for the newly created position; Tom did not 3 Mindy wanted to apply for the newly created position, but Tom did not

Part I:

class PosNeg { static void Main() { int i; for(i=-5; i <= 5; i++) { ConsoleWrite("Testing " + i + ": "); if(i < 0) ConsoleWriteLine("negative"); else ConsoleWriteLine("positive"); } } }

The output is shown here:

2 y [3

Testing Testing Testing Testing Testing Testing Testing Testing Testing Testing Testing -5: negative -4: negative -3: negative -2: negative -1: negative 0: positive 1: positive 2: positive 3: positive 4: positive 5: positive

In this example, if i is less than zero, then the target of the if is executed Otherwise, the target of the else is executed In no case are both executed

A nested if is an if statement that is the target of another if or else Nested ifs are very common in programming The main thing to remember about nested ifs in C# is that an else clause always refers to the nearest if statement that is within the same block as the else and not already associated with an else Here is an example:

= 2

if(i == 10) { if(j < 20) a = b; if(k > 100) c = d; else a = c; // this else refers to if(k > 100) } else a = d; // this else refers to if(i == 10)