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means that the copies of Width and Height associated with the invoking object will be multiplied together and the result returned However, the same statement can also be written like this:

return thisWidth * thisHeight;

( y) 1 + [ ( y) ]2

Here, this refers to the object on which Area( ) was called Thus, thisWidth refers to that object s copy of Width, and thisHeight refers to that object s copy of Height For example, if Area( ) had been invoked on an object called x, then this in the preceding statement would have been referring to x Writing the statement without using this is really just shorthand It is also possible to use this inside a constructor In this case, this refers to the object that is being constructed For example, inside Rect( ), the statements

Width = w; Height = h;

can be written like this:

thisWidth = w; thisHeight = h;

Calculating ( y) and substituting, we find that the desired surface area is the value of the integral

Use this three-step process to analyze sentences until you have trained your ear suf ciently to make the determination automatically If you re alert for the one exception (any form of the verb to be), you should nd it easy to make the who/whom determination correctly every time Collective Nouns Are Singular When Acting as One Unit Remember to watch for collective nouns (discussed earlier), words referring to groups of people or things Notice that in every example that follows, the pronoun is singular

Of course, there is no benefit in doing so in this case For the sake of illustration, here is the entire Rect class written using the this reference:

using System; class Rect { public int Width; public int Height; public Rect(int w, int h) {

6:

y1/6 1 + [( 1/6) y 5/6 ]2

thisWidth = w; thisHeight = h; }

public int Area() { return thisWidth * thisHeight; } } class UseRect static void Rect r1 = Rect r2 = { Main() { new Rect(4, 5); new Rect(7, 9);

ConsoleWriteLine("Area of r1: " + r1Area()); ConsoleWriteLine("Area of r2: " + r2Area()); } }

Actually, no C# programmer would use this as just shown because nothing is gained and the standard form is easier However, this has some important uses For example, the C# syntax permits the name of a parameter or a local variable to be the same as the name of an instance variable When this happens, the local name hides the instance variable You can gain access to the hidden instance variable by referring to it through this For example, the following is a syntactically valid way to write the Rect( ) constructor:

YOU TRY IT Write the integral that represents the surface area of a hemisphere of radius one and evaluate it

public Rect(int Width, int Height) { thisWidth = Width; thisHeight = Height; }

The jury rendered its verdict on Tuesday The company changed its policy The rm relocated its distribution center

In this version, the names of the parameters are the same as the names of the instance variables, thus hiding them However, this is used to uncover the instance variables

his chapter returns to the subject of C# s data types It discusses arrays and the string type The foreach loop is also examined

If a liquid sits in a tank, then it exerts force on the side of the tank This force is caused by gravity, and the greater the depth of the liquid then the greater the force Pascal s principle asserts that the force exerted by a body of water depends on depth alone, and is the same in all directions Thus the force on a point in the side of the tank is defined to be the depth of the liquid at that point times the density of the liquid Naturally, if we want to design tanks which will not burst their seams, it is important to be able to calculate this force precisely Imagine a tank of liquid having density pounds per cubic foot as shown in Figure 835 We want to calculate the force on one flat side wall of the tank Thus we will use the independent variable h to denote depth, measured down