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1 In anticipation of a nancial slowdown, every manager is expected to decide how he or she will reduce costs by 10 percent 2 In anticipation of a nancial slowdown, every manager is expected to consider ways to reduce employee travel, telecommunications, and of ce supply expenses 3 In anticipation of a nancial slowdown, every manager is expected to consider ways to reduce employee travel, telecommunications, and of ce supply expenses by 10 percent

The output from this program is shown here:

x

Info for t1: Triangle is isosceles Width and height are 4 and 4 Area is 8 Info for t2: Triangle is right Width and height are 8 and 12 Area is 48

The Triangle class creates a specific type of TwoDShape, in this case, a triangle The Triangle class includes all of TwoDShape and adds the field Style, the method Area( ), and the method ShowStyle( ) A description of the type of triangle is stored in Style; Area( ) computes and returns the area of the triangle; and ShowStyle( ) displays the triangle style Notice the syntax that Triangle uses to inherit TwoDShape:

class Triangle : TwoDShape {

This syntax can be generalized Whenever one class inherits another, the base class name follows the name of the derived class, separated by a colon In C#, the syntax for inheriting a class is remarkably simple and easy to use Because Triangle includes all of the members of its base class, TwoDShape, it can access Width and Height inside Area( ) Also, inside Main( ), objects t1 and t2 can refer to Width and Height directly, as if they were part of Triangle Figure 11-1 depicts conceptually how TwoDShape is incorporated into Triangle Even though TwoDShape is a base for Triangle, it is also a completely independent, stand-alone class Being a base class for a derived class does not mean that the base class cannot be used by itself For example, the following is perfectly valid:

The natural logarithm can be used to reduce an expression involving exponentials to one involving a product or a quotient

TwoDShape shape = new TwoDShape(); shapeWidth = 10; shapeHeight = 20; shapeShowDim();

Of course, an object of TwoDShape has no knowledge of or access to any classes derived from TwoDShape

FIGURE 11-1

All three sentences are well written Note that the rst sentence adds a number (10 percent), the second one uses examples (the list of expense categories), and the third uses both The third is probably the best choice because it provides the most details; the more speci c the information you offer, the better the writing

We study the limit of f ( x) = x x by considering ln f ( x) = x ln x We rewrite this as lim ln f ( x) = lim

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