1 Case analysis The proof of a statement can sometimes be broken down into can be tackled individually 1.1 The method In order to prove a proposition P using case analysis Write, We use case analysis Identify a sequence of conditions, at least one of which must hold. (If this is not obvious, you must prove it

An explorer is trying to reach the Holy Grail, which she believes is located in a desert shrine d days walk from the nearest oasis. In the desert heat, the explorer must drink continuously. She can carry at most 1 gallon of water, which is enough for 1 day. However, she is free to create water caches out in the desert. For example, if the shrine were 2/3 of day's walk into the desert, then she could recover

Problem Set 9 Solutions Due: Monday, April 25 at 9 PM Problem 1. There are three coins: a penny, nickel, and a quarter. When these coins are flipped: The penny comes up heads with probability 1/3 and tails with probability 2/3 The nickel comes up heads with probability 3/4 and tails with probability 1/4. The quarter comes up heads with

Vitamins are organic chemicals required by the body in trace amounts but which cannot be synthesized by the body. The vitamins required for growth and maintenance of health differ between species; compounds regarded as vitamins for one species may be synthesized at adequate rates by other species. For example, only primates and the guinea-pig require ascorbic acid (vitamin C; section 6.4) from their diet; other species possess the enzyme gluconolactone oxidase which is necessary for the synthesis of vitamin C from D-glucose or D-galactose

Please print out this problem set and record your answers on the printed copy. Answers to this problem set are to be turned in at the box outside by 4: 10 Wednesday, September 17. Problem sets will not be accepted late. Solutions will be posted on the web

Bob, a student taking 7.012, looks at a long-standing puddle outside his dorm window Curious as to what was growing in the cloudy water, he takes a sample to his TA, Brad Student. He wanted to know whether the organisms in the sample were prokaryotic or eukaryotic

Indicate whether each of the following statements is true or false. If false, correct the statement or provide a brief explanation for why it is false ODNA replication is initiated at promoter sequences in the dNA ii)RNA polymerase requires primers to initiate RNA synthesis

Please print out this problem set and record your answers on the printed copy. answers to this problem set are to be turned in at the box outside by 4: 10 Wednesday, November 26. Problem sets will not be accepted late Solutions will be posted on the web November 27

Please print out this problem set and record your answers on the printed copy. Answers to this problem set are to be turned in at the box outside by 4: 10 Wednesday, october22 Problem sets will not be accepted late Solutions will be posted on the web

Lottery ticket: It is the numbered ticket sold at face value so that when the winning number is announced, the one with the corresponding ticket claims a reward Do you or the people you know buy the lottery ticket?