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Consider the curve shown in Figure 41 The curve is the graph of y = f (x) We set for ourselves the task of calculating the area A that is (i) under the curve, (ii) above the x-axis, and (iii) between x = a and x = b Refer to Figure 42 to see the geometric region we are considering We take it for granted that the area of a rectangle of length and width w is w Now our strategy is to divide the base interval [a, b] into equal subintervals Fix an integer k > 0 We designate the points P = {x0 , x1 , x2 , , xk } , with x0 = a and xk = b We require that |x j x j 1 | = |b a|/k x for j = 1, k In other words, the points x0 , x1 , , xk are equally spaced We call the

over budget This is Hard To succeed, you need to both persuade your boss and problem-solve Sometimes you go forward with Hard communications, even though you think your chances of success are slim, for legal reasons, or because you feel strongly about an issue For example, suppose your insurance company refuses to settle on a property damage claim after a hurricane, citing the fact that you didn t have hurricane insurance You feel that it s an issue of poor construction, not weather speci cally, you believe that if the building wall had been built properly, it wouldn t have fallen in the rain You therefore decide to write a letter of protest to the president of the insurance company They have precedent, policy, and the law on their side; your indignation, however, transcends mere law, and it makes you feel better to write a good, stiff letter of protest EXERCISE 4: Put the Matrix of Persuasion to Work Use the matrix to evaluate the project that has you writing to Mr Smith about your favorite boss Which quadrant do you think the project is in Is Mr Smith on your side or not on your side Is Mr Smith constrained against doing what you support If you decided that you need to Persuade and Educate, that gives you important information (About 80 percent of all written business communications are in the Persuade and Educate quadrant Those goals to persuade and educate are common business activities) As you continue developing the letter, doesn t it make sense that you re going to want to include several bene t statements Given that you ll need to prove each bene t s value to Mr Smith s company, isn t it likely that the letter will be long rather than short, and that you may ask Mr Smith to contact you for additional information Perhaps you consider the letter to Mr Smith Easy If Mr Smith is predisposed to hire an excellent candidate in your view, your favorite boss and if there s a job available, you may be right If you are, you may want to keep your letter short and factual If your favorite boss is trying for a career change, perhaps this is a Problem-solving communication, and you should organize your message to demonstrate how your boss s experience translates into the new job s requirements.

// Create a query that obtains the values in sorted order var posNums = from n in nums orderby n select n; ConsoleWrite("Values in ascending order: "); // Execute the query and display the results foreach(int i in posNums) ConsoleWrite(i + " "); ConsoleWriteLine(); } }

The output is shown here:

Values in ascending order: -19 -5 0 2 4 7 10

y = f (x)

To change the order to descending, simply specify the descending option, as shown here:

var posNums = from n in nums orderby n descending select n;

If you try this, you will see that the order of the values is reversed Although sorting on a single criterion is often what is needed, you can use orderby to sort on multiple items by using this form: orderby sort-onA direction, sort-onB direction, sort-onC direction,

Part I:

y = f (x)

In this form, sort-onA is the item on which the primary sorting is done Then, each group of equivalent items is sorted on sort-onB, and each of those groups is sorted on sort-onC, and so on Thus, each subsequent sort-on specifies a then by item on which to sort In all cases, direction is optional, defaulting to ascending Here is an example that uses three sort criteria to sort bank account information by last name, then by first name, and finally by account balance: