Text A All the Cab Had Was a Letter Part 1 Objectives Part 2 Cultural Notes Part 3 Text Structure Part 4 Language Points Part Content Questions

1. Lines 1-13 access to the internet which give people information of all kinds seems a matter of course 2. Lines 14-26 World Wide Web, which began as a little computer program nearly 20

A which B which was C. they have D. it 9. All is needed is a continuous supply of the basic necessities

Like all other foods of plant or animal origin, milk contains several indigenous enzymes which are constituents of the milk as secreted. The principal constituents of milk (lactose, lipids and proteins) can be modified by exogenous enzymes, added to induce specific changes. Exogenous en- zymes may also be used to analyse for certain constituents in milk. In addition, milk and most dairy products

Lactose is the principal carbohydrate in the milks of all mammals; non mammalian sources are very rare. Milk contains only trace amounts of other sugars, including glucose(50 mg\), fructose, glucosamine, galac- tosamine, neuraminic acid and neutral and acidic oligosaccharides The concentration of lactose in milk varies widely between species(Table 2.1). The lactose content of cows'milk varies with the breed of cow

You may use one 8.5 11\sheet with notes in you own handwriting on both sides but no other sources of information Calculators are not allowed You may assume all results from lecture, the notes, problem sets, and recitation Write your solutions in the space provided. If you need more space, write on the back of the sheet containing the probl

YOUR NAME Calculators are not allowed on this exam You may use one 8.5 x 11\sheet with notes in your own handwriting on both side but no other sources of information You may assume all results from lecture, the notes, problem sets, and recitation

1 Bipartite Graphs Graphs that are 2-colorable are important enough to merit a special name; they are called bipartite graphs. Suppose that G is bipartite. Then we can color every vertex in G ei ther black or white so that adjacent vertices get different colors. Then we can put all the

1 Coloring Graphs Each term, the MIT Schedules Office must assign a time slot for each final exam. This is not easy, because some students are taking several classes with finals, and a student can take only one test during a particular time slot. The Schedules Office wants to avoid all conflicts, but to make the exam period as short as possible

1 The Number-Picking Game Here is a game that you and I could play that reveals a strange property of expectation. 3, First, you think of a probability density function on the natural numbers. Your distri- bution can be absolutely anything you like. For example, you might choose a uniform distribution on 1, 2, ... 6, like the outcome of a fair die roll. Or you might choose a bi- probability, provided that,...,n. You can even give every natural number a non-zero nomial distribution on 0, 1 he sum of all probabilities is 1