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// Return an object using System; class Rect { int width; int height; public Rect(int w, int h) { width = w; height = h; } public int Area() { return width * height; } public void Show() { ConsoleWriteLine(width + " " + height); } /* Return a rectangle that is a specified factor larger than the invoking rectangle */ public Rect Enlarge(int factor) { return new Rect(width * factor, height * factor); } } class RetObj { static void Main() { Rect r1 = new Rect(4, 5); ConsoleWrite("Dimensions of r1: "); r1Show(); ConsoleWriteLine("Area of r1: " + r1Area()); ConsoleWriteLine(); // Create a rectangle that is twice as big as r1 Rect r2 = r1Enlarge(2);

Part I:

y, y', y", y'''

ConsoleWrite("Dimensions of r2: "); r2Show(); ConsoleWriteLine("Area of r2: " + r2Area()); } }

Thus there are a critical point at x = 0 and in ection points at x = 1/ 3 Figure S315 exhibits the complete graph

The output is shown here:

Since the velocities are equal at the point q = b1 differentiating Eqs (225) and (226) yields b C1 = C2 - 1 b1 Solving Eq (229) and (230) gives C1 = Therefore for 0 < q b, displacement y1 = y1 = y1 = h 2 q b1b 2h q b1b 2h b1b (232) h , b1b C2 = h (230)

Dimensions of r1: 4 5 Area of r1: 20 Dimensions of r2: 8 10 Area of r2: 80

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When an object is returned by a method, it remains in existence until there are no more references to it At that point, it is subject to garbage collection Thus, an object won t be destroyed just because the method that created it terminates One application of object return types is the class factory A class factory is a method that is used to construct objects of its class In some situations, you may not want to give users of a class access to the class constructor because of security concerns or because object construction depends upon certain external factors In such cases, a class factory is used to construct objects Here is a simple example:

(231)

16 We see that the equation for the position of a falling body will now be 20 2 t + v0 t + h 0 2 It is given that v0 = 0 and h0 = 100 Hence p(t) = p(t) = 10t 2 + 0t + 100 The body hits the surface when 0 = p(t) = 10t 2 + 100 This occurs at time t = 10

// Use a class factory using System; class MyClass { int a, b; // private // Create a class factory for MyClass public MyClass Factory(int i, int j) { MyClass t = new MyClass(); ta = i; tb = j; return t; // return an object } public void Show() { ConsoleWriteLine("a and b: " + a + " " + b); } } class MakeObjects { static void Main() { MyClass ob = new MyClass(); int i, j; // Generate objects using the factory for(i=0, j=10; i < 10; i++, j--) {

8:

(233)

MyClass anotherOb = obFactory(i, j); // make an object anotherObShow(); }

ConsoleWriteLine(); } }

4

(234)

The output is shown here:

a a a a a a a a a a and and and and and and and and and and b: b: b: b: b: b: b: b: b: b: 0 1 2 3 4 5 6 7 8 9 10 9 8 7 6 5 4 3 2 1

( b - q )2

Let s look closely at this example MyClass does not define a constructor, so only the default constructor is available Thus, it is not possible to set the values of a and b using a constructor However, the class factory Factory( ) can create objects in which a and b are given values Moreover, since a and b are private, using Factory( ) is the only way to set these values In Main( ), a MyClass object is instantiated, and its factory method is used inside the for loop to create ten other objects The line of code that creates objects is shown here:

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