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public string name { get; set; } public void ShowDim() { ConsoleWriteLine("Width and height are " + Width + " and " + Height); } public virtual double Area() { ConsoleWriteLine("Area() must be overridden"); return 00; } } // A derived class of TwoDShape for triangles class Triangle : TwoDShape { string Style; // A default constructor public Triangle() { Style = "null"; } // Constructor for Triangle public Triangle(string s, double w, double h) : base(w, h, "triangle") { Style = s; } // Construct an isosceles triangle public Triangle(double x) : base(x, "triangle") { Style = "isosceles"; } // Construct a copy of a Triangle object public Triangle(Triangle ob) : base(ob) { Style = obStyle; } // Override Area() for Triangle public override double Area() { return Width * Height / 2; } // Display a triangle's style public void ShowStyle() { ConsoleWriteLine("Triangle is " + Style); } } // A derived class of TwoDShape for rectangles class Rectangle : TwoDShape { // Constructor for Rectangle public Rectangle(double w, double h) : base(w, h, "rectangle"){ }

Part I:

As the pinnacle of our work in this book, we now present a number of substantial applications of the technique of integration Most of these are physical in nature, and that is the way that Isaac Newton would have liked it Many of the laws of physics are expressed in the language of integrals This chapter involves a good deal of technique In order to use the integral to study an application, one must understand how to transform the physical problem into a mathematical one This requires a notable understanding of how the integral is constructed, and what is the concept behind the integral You may find yourself flipping back to 4 to review key ideas

// Construct a square public Rectangle(double x) : base(x, "rectangle") { } // Construct a copy of a Rectangle object public Rectangle(Rectangle ob) : base(ob) { } // Return true if the rectangle is square public bool IsSquare() { if(Width == Height) return true; return false; } // Override Area() for Rectangle public override double Area() { return Width * Height; } } class DynShapes { static void Main() { TwoDShape[] shapes = new TwoDShape[5]; shapes[0] shapes[1] shapes[2] shapes[3] shapes[4] = = = = = new new new new new Triangle("right", 80, 120); Rectangle(10); Rectangle(10, 4); Triangle(70); TwoDShape(10, 20, "generic");

Level Three: Everything Andrea, the owner of the insurance consulting rm who discovered that her boilerplate business letters needed to be proofed using Level Two standards says, My proposals are more complex, even though I send out only one proposal per subject and they re not huge Five to ten pages is quite modest by some proposal standards I once saw a grant proposal that ran over a hundred pages But still, this is my bread and butter It is essential to me that my proposals are perfect in every way I used the assessment to gure out what level of proo ng is appropriate for my proposals Level Two, like for my letters, or what My scores were as follows 1 Your communication will be distributed only within your organization 1

for(int i=0; i < shapesLength; i++) { ConsoleWriteLine("object is " + shapes[i]name); ConsoleWriteLine("Area is " + shapes[i]Area()); ConsoleWriteLine(); } } }

The output from the program is shown here:

object is triangle Area is 48 object is rectangle Area is 100 object is rectangle Area is 40 object is triangle Area is 245 object is generic Area() must be overridden Area is 0

Volumes by slicing Volumes of solids of revolution Calculation of work Calculation of averages Calculation of arc length and surface area Hydrostatic pressure Numerical techniques of integration

11:

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