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Substituting the values for r, dr/dt, h, and dh/dt into the right-hand side yields 1 24 1 dV = 2 4 (02) 6 + 42 (03) = [96 + 48] = dt 3 3 5 You Try It: In the heat of the sun, a sheet of aluminum in the shape of an equilateral triangle is expanding so that its side length increases by 1 millimeter per hour When the side length is 100 millimeters, how is the area increasing

SomeOp<string> strDel = Reflect;

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Because Reflect( ) takes a string argument and returns a string result, it is compatible with the string version of SomeOp Because of the type safety inherent in generics, you cannot assign incompatible methods to delegates For example, assuming the preceding program, the following statement would be in error:

SomeOp<int> intDel = Reflect; // Error!

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Because Reflect( ) takes a string argument and returns a string result, it cannot be assigned to an int version of SomeOp As explained in 15, one of the major uses of delegates occurs when handling events Although events, themselves, cannot be generic, the delegate that supports an event can The following program reworks an example from 15 (the NET-compatible event demonstration) so that it uses a generic delegate:

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It is known that, near the surface of the earth, a body falls with acceleration (due to gravity) of about 32 ft/sec2 If we let h(t) be the height of the object at time t (measured in seconds), then our information is that h (t) = 32 Observe the minus sign to indicate that height is decreasing Now we will do some organized guessing What could h be It is some function whose derivative is the constant 32 Our experience indicates that polynomials decrease in degree when we differentiate them That is, the degree goes from 5 to 4, or from 3 to 2 Since, h is a polynomial of degree 0, we therefore determine that h will be a polynomial of degree 1 A moment s thought then suggests that h (t) = 32t This works! If h (t) = 32t then h (t) = [h (t)] = 32 In fact we can do a bit better Since constants differentiate to zero, our best guess of what the velocity should be is h (t) = 32t + v0 , where v0 is an undetermined constant Now let us guess what form h(t) should have We can learn from our experience in the last paragraph The antiderivative of 32t (a polynomial of degree 1) should be a polynomial of degree 2 After a little ddling, we guess 16t 2 And this works The antiderivative of v0 (a polynomial of degree 0) should be a polynomial of degree 1 After a little ddling, we guess v0 t And this works Taking all this information together, we nd that the antiderivative of h (t) = 32t + v0 is h(t) = 16t 2 + v0 t + h0 ( )

// Convert event example from 15 to use generic delegate using System; // Derive a class from EventArgs class MyEventArgs : EventArgs { public int EventNum; } // Declare a generic delegate for an event delegate void MyEventHandler<T, V>(T source, V args); // Declare an event class class MyEvent { static int count = 0; public event MyEventHandler<MyEvent, MyEventArgs> SomeEvent; // This fires SomeEvent public void OnSomeEvent() { MyEventArgs arg = new MyEventArgs(); if(SomeEvent != null) { argEventNum = count++; SomeEvent(this, arg); } } } class X { public void Handler<T, V>(T source, V arg) where V : MyEventArgs { ConsoleWriteLine("Event " + argEventNum + " received by an X object");

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Part I:

ConsoleWriteLine("Source is " + source); ConsoleWriteLine(); } } class Y { public void Handler<T,V>(T source, V arg) where V : MyEventArgs { ConsoleWriteLine("Event " + argEventNum + " received by a Y object"); ConsoleWriteLine("Source is " + source); ConsoleWriteLine(); } } class UseGenericEventDelegate { static void Main() { X ob1 = new X(); Y ob2 = new Y(); MyEvent evt = new MyEvent(); // Add Handler() to the event list evtSomeEvent += ob1Handler; evtSomeEvent += ob2Handler; // Fire the event evtOnSomeEvent(); evtOnSomeEvent(); } }

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