Cho hàm số xác định trên tập số nguyên và nhận giá trị cũng trong tập số nguyên, thỏa mãn với mọi là số nguyên. Tính .

 

 

Read the following passage and mark the letter A, B, C or D to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35:

THE FIRST WOMAN SCIENTIST Hypatia was born in Alexandria, in Egypt, in 370 A.D. For many centuries, she was the only woman scientist to have a place in the history books. Hypatia’s father was director of Alexandria University, and he (31) ________ sure his daughter had the best education available. This was unusual, as most women then had few (32) ________ to study. After studying in Athens and Rome, Hypatia returned to Alexandria where she began teaching mathematics. She soon became famous (33) ________ her knowledge of new ideas. We have no copies of her book, but we know that she wrote several important mathematical works. Hypatia was also interested in technology and invented several scientific tools to help with her work. At the (34) ________, many rulers were afraid of science, and anyone connected with it was in danger. One day in March 415, Hypatia (35) ________ attacked in the street and killed.  

Question 31:        

Read the following passage and mark the letter A, B, C or D to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35:

THE FIRST WOMAN SCIENTIST Hypatia was born in Alexandria, in Egypt, in 370 A.D. For many centuries, she was the only woman scientist to have a place in the history books. Hypatia’s father was director of Alexandria University, and he (31) ________ sure his daughter had the best education available. This was unusual, as most women then had few (32) ________ to study. After studying in Athens and Rome, Hypatia returned to Alexandria where she began teaching mathematics. She soon became famous (33) ________ her knowledge of new ideas. We have no copies of her book, but we know that she wrote several important mathematical works. Hypatia was also interested in technology and invented several scientific tools to help with her work. At the (34) ________, many rulers were afraid of science, and anyone connected with it was in danger. One day in March 415, Hypatia (35) ________ attacked in the street and killed.  

Question 33:        

Read the following passage and mark the letter A, B, C or D to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35:

THE FIRST WOMAN SCIENTIST Hypatia was born in Alexandria, in Egypt, in 370 A.D. For many centuries, she was the only woman scientist to have a place in the history books. Hypatia’s father was director of Alexandria University, and he (31) ________ sure his daughter had the best education available. This was unusual, as most women then had few (32) ________ to study. After studying in Athens and Rome, Hypatia returned to Alexandria where she began teaching mathematics. She soon became famous (33) ________ her knowledge of new ideas. We have no copies of her book, but we know that she wrote several important mathematical works. Hypatia was also interested in technology and invented several scientific tools to help with her work. At the (34) ________, many rulers were afraid of science, and anyone connected with it was in danger. One day in March 415, Hypatia (35) ________ attacked in the street and killed.

Question 32:        

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35:

All relationships go through difficult times. In the past, when married couples had problems they usually didn’t (31) _________. They had to either (32) _________ with each other or continue to live together in an unhappy relationship. Getting divorced wasn’t an option for most people due to economic and social reasons. Some people believe that this wasn’t such a bad thing. They say that relationships require hard work and (33) _________. “If a relationship is going to last a lifetime, you have to keep working at it,” says Doreen, who is celebrating her fiftieth wedding anniversary this year. “It isn’t all roses and romance. No one perfect all of the time. These days young people give up when there’s the (34) _________ argument.” Experts agree that communication is key. The most important thing is to keep talking. How many times have you heard yourself say to somebody, “If only you’d listen!” or “I wish you wouldn’t do that!” The truth is, the (35) ______ couples talk, the better their relationship can be.  

Question 31:

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35:

All relationships go through difficult times. In the past, when married couples had problems they usually didn’t (31) _________. They had to either (32) _________ with each other or continue to live together in an unhappy relationship. Getting divorced wasn’t an option for most people due to economic and social reasons. Some people believe that this wasn’t such a bad thing. They say that relationships require hard work and (33) _________. “If a relationship is going to last a lifetime, you have to keep working at it,” says Doreen, who is celebrating her fiftieth wedding anniversary this year. “It isn’t all roses and romance. No one perfect all of the time. These days young people give up when there’s the (34) _________ argument.” Experts agree that communication is key. The most important thing is to keep talking. How many times have you heard yourself say to somebody, “If only you’d listen!” or “I wish you wouldn’t do that!” The truth is, the (35) ______ couples talk, the better their relationship can be.  

Question 33:

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35:

All relationships go through difficult times. In the past, when married couples had problems they usually didn’t (31) _________. They had to either (32) _________ with each other or continue to live together in an unhappy relationship. Getting divorced wasn’t an option for most people due to economic and social reasons. Some people believe that this wasn’t such a bad thing. They say that relationships require hard work and (33) _________. “If a relationship is going to last a lifetime, you have to keep working at it,” says Doreen, who is celebrating her fiftieth wedding anniversary this year. “It isn’t all roses and romance. No one perfect all of the time. These days young people give up when there’s the (34) _________ argument.” Experts agree that communication is key. The most important thing is to keep talking. How many times have you heard yourself say to somebody, “If only you’d listen!” or “I wish you wouldn’t do that!” The truth is, the (35) ______ couples talk, the better their relationship can be.

Question 32:  

Read the following passage and mark the letter A, B, C or D to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35:

One of the hottest topics on the international development agenda is how to harness the power of International Monetary Fund for the benefit of developing countries. What is sometimes called “the death of distance”, brought about by the Internet, allow professional services such as (31) ________ education and training to be provided easily and quickly to (32) ________ areas. Some of the gains can be seen in countries as diverse as India and Morocco, where innovations range from (33) ________ government announcements to local craftsmen selling their wares to a (34)______ market. But already a huge and expanding digital divide is opening up between developed and developing nations. The major tasks facing world leaders at present is to supply everybody on the planet with clean water, basic education and the drugs needed to fight preventable diseases. Installing a modem in every classroom and linking us to (35) ________ must be a lesser criteria at least.

Question 31:        

Read the following passage and mark the letter A, B, C or D to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35:

One of the hottest topics on the international development agenda is how to harness the power of International Monetary Fund for the benefit of developing countries. What is sometimes called “the death of distance”, brought about by the Internet, allow professional services such as (31) ________ education and training to be provided easily and quickly to (32) ________ areas. Some of the gains can be seen in countries as diverse as India and Morocco, where innovations range from (33) ________ government announcements to local craftsmen selling their wares to a (34)______ market. But already a huge and expanding digital divide is opening up between developed and developing nations. The major tasks facing world leaders at present is to supply everybody on the planet with clean water, basic education and the drugs needed to fight preventable diseases. Installing a modem in every classroom and linking us to (35) ________ must be a lesser criteria at least.  

Question 32:          

Read the following passage and mark the letter A, B, C or D to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35:

One of the hottest topics on the international development agenda is how to harness the power of International Monetary Fund for the benefit of developing countries. What is sometimes called “the death of distance”, brought about by the Internet, allow professional services such as (31) ________ education and training to be provided easily and quickly to (32) ________ areas. Some of the gains can be seen in countries as diverse as India and Morocco, where innovations range from (33) ________ government announcements to local craftsmen selling their wares to a (34)______ market. But already a huge and expanding digital divide is opening up between developed and developing nations. The major tasks facing world leaders at present is to supply everybody on the planet with clean water, basic education and the drugs needed to fight preventable diseases. Installing a modem in every classroom and linking us to (35) ________ must be a lesser criteria at least.  

Question 33:          

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35:

Many people today would like the traditional two-parent family back, that is to say, they want a man and a woman to (31)______ for life; they also think the man should support the family and the woman should stay home with the children. However, few families now (32)______ into this category. In fact, if more women decide to have children on their own, the single-parent household may become more typical than the traditional family in many countries. Also, unmarried couples may decide to have more children – or they might take in foster children or (33)______. And because people are staying single and living longer (often as widows), there may be more one-person households. (34)______ the other hand, some people believe similar events happen again and again in history: if this is true, people may go back to the traditional (35)_____ or nuclear family of the past. Others think the only certainty in history is change: in other words, the structure of the future family could begin to change faster and faster and in more and more ways.  

Question 31: