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2 Using the Formality Index, you ve determined that your communication is very informal 2 3 Your message is upbeat and fun 2 4 If your readers misunderstand your message, no negative consequences will result 2 5 Your communication is short 3 6 Your communication is simple 2 7 Your communication includes only one section For example, it s a 100-word newsletter article, a business letter, a memo, or an E-mail with no attachments 5 8 Only one subject is included in your communication 5 9 Using the Matrix of Persuasion, you ve determined that your readers are on your side and that they have the resources to do as you ask; in other words, you ve assessed your writing task as Easy 3 My score totaled twenty- ve Level Two: Clarity, Grammar, Organization, and Completeness Just what I thought It was very reassuring to know that I was on the right track and I m able to use the Level Two checklist to help me proof the right things and not waste time proo ng things that don t matter Letters of agreement need to be carefully worded so as to leave no questions about the scope of work, delivery schedule, prices, and responsibility But having said that, it s pretty much a boilerplate letter I change the speci cs, but most of it stays the same I ve used this format long enough for years to know that it s a clear agreement and that the grammar is correct Proo ng to con rm a solid organizational structure has proven valuable Given that the letter is a boilerplate, I need to be certain that I don t end up with a confusing mishmash every time I substitute paragraphs and phrases Proo ng to Level Two standards takes a little time But I ve caught errors that range from embarrassing, like including a past client s name, to horri c, like agreeing to perform work that had nothing to do with the actual project It s completely worth the effort Level Two proo ng includes all of Level One standards (see previous page), plus the following:.

Since binary is based on powers of 2, the shift operators can be used as a way to multiply or divide an integer by 2 A shift left doubles a value A shift right halves it Of course, this works only as long as you are not shifting bits off one end or the other Here is an example:

2 2 2 2

// Use the shift operators to multiply and divide by 2 using System; class MultDiv { static void Main() { int n; n = 10;

4:

ConsoleWriteLine("Value of n: " + n); // Multiply by 2 n = n << 1; ConsoleWriteLine("Value of n after n = n * 2: " + n); // Multiply by 4 n = n << 2; ConsoleWriteLine("Value of n after n = n * 4: " + n); // Divide by 2 n = n >> 1; ConsoleWriteLine("Value of n after n = n / 2: " + n); // Divide by 4 n = n >> 2; ConsoleWriteLine("Value of n after n = n / 4: " + n); ConsoleWriteLine(); // Reset n n = 10; ConsoleWriteLine("Value of n: " + n); // Multiply by 2, 30 times n = n << 30; // data is lost ConsoleWriteLine("Value of n after left-shifting 30 places: " + n); } }

The output is shown here:

4 Evaluate each of the following indefinite trigonometric integrals (a) (b) (c) (d) (e) (f) cos x sin x dx cos x sin x dx tan x sec x dx tan x sec x dx sin x cos x dx cos x sin x dx

Value Value Value Value Value of of of of of n: 10 n after n after n after n after n n n n = = = = n n n n * * / / 2: 4: 2: 4: 20 80 40 10

Value of n: 10 Value of n after left-shifting 30 places: -2147483648