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The body hits the ground when 0 = p(t) = 16t 2 + 64 or t = 2 seconds (b) Since the ball has initial velocity 5 feet/second straight down, we know that v0 = 5 The initial height is h0 = 64 Therefore the position of the body at time t is given by p(t) = 16t 2 5 t + 64 The body hits the ground when 0 = p(t) = 16t 2 5t + 64 or t 18498 seconds (c) Since the ball has initial velocity 20 feet/second straight up, we know that v0 = 20 The initial height is h0 = 64 Therefore the position of the body at time t is given by p(t) = 16t 2 + 20 t + 64 The body hits the ground when 0 = p(t) = 16t 2 + 20t + 64 or t 27204 seconds 6 (a) 1 d cos(ln(sin x)) = sin(ln(sin x)) (cos x) dx sin x d cos(sin x) (b) e = e cos(sin x) ( sin(sin x)) (cos x) dx 1 d ln(e cos x + x) = cos x (c) (e cos x ( sin x) + 1) dx e +x 1 d arccos(x 2 + sec x) = (d) [2x + sec x tan x] dx 1 [x 2 + sec x]2 (e) 1 [ln x + e x /2]2 1 d [1 e x ] arctan(x e x ) = (f) dx 1 + (x e x )2 d arcsin(ln x + e x /2) = dx 1 1 ex + x 2

Here is the output:

Inside static constructor Inside instance constructor Consalpha: 99 obbeta: 100

Notice that the static constructor is called automatically (when the class is first loaded) and before the instance constructor This can be generalized In all cases, the static constructor will be executed before any instance constructor Furthermore, static constructors cannot have access modifiers (thus, they use default access) and cannot be called by your program

A class can be declared static There are two key features of a static class First, no object of a static class can be created Second, a static class must contain only static members A static class is created by modifying a class declaration with the keyword static, shown here: static class class-name { //

YOU TRY IT Sketch the angles 2, 1, , 3 /2, and 10---all on the same coordinate figure Of course use radian measure EXAMPLE

Now that you understand the importance of setting an action-oriented objective, and you are able to identify bene ts likely to target various personality types, you re ready to evaluate the appropriate level of formality Using the Formality Index, you ll answer three simple questions to determine how formal or informal your communication should be This process

8:

Within the class, all members must be explicitly specified as static Making a class static does not automatically make its members static static classes have two primary uses First, a static class is required when creating an extension method Extension methods relate mostly to LINQ, and a discussion of extension methods is found in 19 Second, a static class is used to contain a collection of related static methods This second use is demonstrated here The following example uses a static class called NumericFn to hold a set of static methods that operate on a numeric value Because all of the members of NumericFn are declared static, the class can also be declared static, which prevents it from being instantiated Thus, NumericFn serves an organizational role, providing a good way to logically group related methods

// Demonstrate a static class using System; static class NumericFn { // Return the reciprocal of a value static public double Reciprocal(double num) { return 1/num; } // Return the fractional part of a value static public double FracPart(double num) { return num - (int) num; } // Return true if num is even static public bool IsEven(double num) { return (num % 2) == 0 true : false; } // Return true if num is odd static public bool IsOdd(double num) { return !IsEven(num); } } class StaticClassDemo { static void Main() { ConsoleWriteLine("Reciprocal of 5 is " + NumericFnReciprocal(50)); ConsoleWriteLine("Fractional part of 4234 is " + NumericFnFracPart(4234)); if(NumericFnIsEven(10)) ConsoleWriteLine("10 is even"); if(NumericFnIsOdd(5)) ConsoleWriteLine("5 is odd"); // The following attempt to create an instance of // NumericFn will cause an error

5p/6 = 150 p/3 = 60

Part I:

// } }

NumericFn ob = new NumericFn(); // Wrong!