Tính diện tích hình phẳng được giới hạn bởi đường cong và  .            

Để đảm bảo an toàn khi lưu thông trên đường, các xe ô tô khi dừng đèn đỏ phải cách nhau tối thiểu 1m. Một ô tô A đang chạy với vận tốc  bỗng gặp ô tô B đang dừng đèn đỏ nên ô tô A hãm phanh và chuyển động chậm dần đều với vận tốc được biểu thị bởi công thức  (đơn vị tính bằng m/s), thời gian t tính bằng giây. Hỏi để hai ô tô A và B đạt khoảng cách an toàn khi dừng lại thì ô tô A phải hãm phanh khi cách ô tô B một khoảng ít nhất là bao nhiêu mét?          

Thể tích của khối tròn xoay sinh ra bởi hình phẳng giới hạn bởi các đường quay một vòng quanh trục Ox là:  

Một vật chuyển động với gia tốc .Vận tốc ban đầu của vật là 6m/s. Hỏi vận tốc của vật tại giây thứ 10 bằng bao nhiêu ?

Cho và . Tính .         

Cho hình phẳng giới hạn bởi các đường , , ( ).Tìm để diện tích hình phẳng bằng .              

Cho hàm số  liên tục trên đoạn  có đồ thị như hình bên và . Gọi  là diện tích của hình phẳng  giới hạn bởi đồ thị hàm số  và các đường thẳng , , . Mệnh đề nào sau đây sai?    

Diện tích hình phẳng giới hạn bởi các đường  là:  

Cho đường cong Gọi (H) là hình phẳng giới hạn bởi (C) , trục tung và đường thẳng: . Cho (H) quay xung quanh trục tung ta được một vật thể tròn xoay có thể tích (đvtt). Tìm giá trị của m.

Một đám vi trùng ngày thứ có số lượng là . Biết rằng và lúc đầu đám vi trùng có 250.000 con. Sau 10 ngày số lượng vi trùng là (lấy xấp xỉ hàng đơn vị):

Thể tích của khối tròn xoay khi quay quanh trục hoành hình (H) được giới hạn bởi các đường  trục hoành, trục tung là?          

Công ty vừa đưa vào một dây chuyền sản xuất để chế tạo máy tính mới. Sau vài tuần, sản lượng đạt được máy/tuần. Tìm số máy sản xuất được từ tuần thứ ba đến hết tuần thứ tư.

Một đám vi trùng tại ngày thứ có số lượng là Biết rằng và lúc đầu đám vi trùng có 250000 con. Hỏi sau ngày số lượng vi trùng là bao nhiêu?

Cho hình  giới hạn bở đồ thị , trục hoành và các đường thẳng ,  Tính thể tích của khối tròn xoay được tạo thành khi quay  quanh trục hoành.

Cho hình thang cong (H) giới hạn bởi các đường Đường thẳng chia (H) thành hai phần là và quay quanh trục Ox ta thu được hai khối tròn xoay có thể tích lần lượt là và Xác định k để                 

Hai người chạy đua xuất phát cùng lúc với vận tốc 0 m/s trên một đoạn đường 400m. Biết độ tăng vận tốc của 2 người lần lượt cho bởi hai hàm số và (t là thời gian, tính theo giây). Hỏi thời gian về đích của hai người chênh lệch bao nhiêu giây?

Một vật chuyển động với gia tốc .Vận tốc ban đầu của vật là 7m/s. Hỏi vận tốc của vật tại giây thứ 5 bằng bao nhiêu ?

Tính diện tích hình phẳng được giới hạn bởi đường cong và  .            

Người ta dự đoán rằng dân số thay đổi với tốc độ (tỷ người/năm) với t là số năm tính từ năm 2003. Biết rằng năm 2009 dân số thế giới là 4,5 (tỷ người).  Dân số thế giới vào năm 2013 vào khoảng

Gọi S là diện tích hình phẳng giới hạn bởi parbol , tiếp tuyến với tại điểm và đường thẳng ( như hình vẽ bên). Tính S.

Tích phân bằng:        

Diện tích hình phẳng giới hạn bởi các đường và là:         

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions from 41 to 50:

Until recently, most American entrepreneurs were men. Discrimination against women in business, the demands of caring for families, and lack of business training had kept the number of women entrepreneurs small. Now, however, businesses owned by women account for more than $40 billion in annual revenues, and this figure is likely to continue rising throughout the 1990s. As Carolyn Doppelt Gray, an official of the Small Business Administration, has noted, "The 1970s was the decade of women entering management, and the 1980s turned out to be the decade of the woman entrepreneur". What are some of the factors behind this trend? For one thing, as more women earn advanced degrees in business and enter the corporateworld, they are finding obstacles. Women are still excluded from most executive suites. Charlotte Taylor, a management consultant, had noted, "In the 1970s women believed if they got an MBA and worked hard they could become chairman of the board. Now they've found out that isn't going to happen, so they go out on their own". In the past, most women entrepreneurs worked in "women's" fields: cosmetics and clothing, for example. But this is changing. Consider ASK Computer Systems, a $22-million-a-year computer software business. It was founded in 1973 by Sandra Kurtzig, who was then a housewife with degrees in math and engineering. When Kurtzig founded the business, her first product was software that let weekly newspapers keep tabs on their newspaper carriers and her office was a bedroom at home, with a shoebox under the bed to hold the company's cash. After she succeeded with the newspaper software system, she hired several bright computer-science graduates to develop additional programs. When these were marketed and sold, ASK began to grow. It now has 200 employees, and Sandra Kurtzig owns $66.9 million of stock. Of course, many women who start their own businesses fail, just as men often do. They still face hurdles in the business world, especially problems in raising money; the banking and finance world is still dominated by men, and old attitudes die hard. Most businesses owned by women are still quite small. But the situation is changing; there are likely to be many more Sandra Kurtzigs in the years ahead.  

Question 42: The word “excluded“ in the pasage is closest meaning to________.         

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions from 41 to 50:

Until recently, most American entrepreneurs were men. Discrimination against women in business, the demands of caring for families, and lack of business training had kept the number of women entrepreneurs small. Now, however, businesses owned by women account for more than $40 billion in annual revenues, and this figure is likely to continue rising throughout the 1990s. As Carolyn Doppelt Gray, an official of the Small Business Administration, has noted, "The 1970s was the decade of women entering management, and the 1980s turned out to be the decade of the woman entrepreneur". What are some of the factors behind this trend? For one thing, as more women earn advanced degrees in business and enter the corporateworld, they are finding obstacles. Women are still excluded from most executive suites. Charlotte Taylor, a management consultant, had noted, "In the 1970s women believed if they got an MBA and worked hard they could become chairman of the board. Now they've found out that isn't going to happen, so they go out on their own". In the past, most women entrepreneurs worked in "women's" fields: cosmetics and clothing, for example. But this is changing. Consider ASK Computer Systems, a $22-million-a-year computer software business. It was founded in 1973 by Sandra Kurtzig, who was then a housewife with degrees in math and engineering. When Kurtzig founded the business, her first product was software that let weekly newspapers keep tabs on their newspaper carriers and her office was a bedroom at home, with a shoebox under the bed to hold the company's cash. After she succeeded with the newspaper software system, she hired several bright computer-science graduates to develop additional programs. When these were marketed and sold, ASK began to grow. It now has 200 employees, and Sandra Kurtzig owns $66.9 million of stock. Of course, many women who start their own businesses fail, just as men often do. They still face hurdles in the business world, especially problems in raising money; the banking and finance world is still dominated by men, and old attitudes die hard. Most businesses owned by women are still quite small. But the situation is changing; there are likely to be many more Sandra Kurtzigs in the years ahead.  

Question 41: What is the main idea of this passage?             

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions from 41 to 50:

Until recently, most American entrepreneurs were men. Discrimination against women in business, the demands of caring for families, and lack of business training had kept the number of women entrepreneurs small. Now, however, businesses owned by women account for more than $40 billion in annual revenues, and this figure is likely to continue rising throughout the 1990s. As Carolyn Doppelt Gray, an official of the Small Business Administration, has noted, "The 1970s was the decade of women entering management, and the 1980s turned out to be the decade of the woman entrepreneur". What are some of the factors behind this trend? For one thing, as more women earn advanced degrees in business and enter the corporateworld, they are finding obstacles. Women are still excluded from most executive suites. Charlotte Taylor, a management consultant, had noted, "In the 1970s women believed if they got an MBA and worked hard they could become chairman of the board. Now they've found out that isn't going to happen, so they go out on their own". In the past, most women entrepreneurs worked in "women's" fields: cosmetics and clothing, for example. But this is changing. Consider ASK Computer Systems, a $22-million-a-year computer software business. It was founded in 1973 by Sandra Kurtzig, who was then a housewife with degrees in math and engineering. When Kurtzig founded the business, her first product was software that let weekly newspapers keep tabs on their newspaper carriers and her office was a bedroom at home, with a shoebox under the bed to hold the company's cash. After she succeeded with the newspaper software system, she hired several bright computer-science graduates to develop additional programs. When these were marketed and sold, ASK began to grow. It now has 200 employees, and Sandra Kurtzig owns $66.9 million of stock. Of course, many women who start their own businesses fail, just as men often do. They still face hurdles in the business world, especially problems in raising money; the banking and finance world is still dominated by men, and old attitudes die hard. Most businesses owned by women are still quite small. But the situation is changing; there are likely to be many more Sandra Kurtzigs in the years ahead.  

Question 44: In the passage, “that” refers to_________.         

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions from 41 to 50:

Until recently, most American entrepreneurs were men. Discrimination against women in business, the demands of caring for families, and lack of business training had kept the number of women entrepreneurs small. Now, however, businesses owned by women account for more than $40 billion in annual revenues, and this figure is likely to continue rising throughout the 1990s. As Carolyn Doppelt Gray, an official of the Small Business Administration, has noted, "The 1970s was the decade of women entering management, and the 1980s turned out to be the decade of the woman entrepreneur". What are some of the factors behind this trend? For one thing, as more women earn advanced degrees in business and enter the corporateworld, they are finding obstacles. Women are still excluded from most executive suites. Charlotte Taylor, a management consultant, had noted, "In the 1970s women believed if they got an MBA and worked hard they could become chairman of the board. Now they've found out that isn't going to happen, so they go out on their own". In the past, most women entrepreneurs worked in "women's" fields: cosmetics and clothing, for example. But this is changing. Consider ASK Computer Systems, a $22-million-a-year computer software business. It was founded in 1973 by Sandra Kurtzig, who was then a housewife with degrees in math and engineering. When Kurtzig founded the business, her first product was software that let weekly newspapers keep tabs on their newspaper carriers and her office was a bedroom at home, with a shoebox under the bed to hold the company's cash. After she succeeded with the newspaper software system, she hired several bright computer-science graduates to develop additional programs. When these were marketed and sold, ASK began to grow. It now has 200 employees, and Sandra Kurtzig owns $66.9 million of stock. Of course, many women who start their own businesses fail, just as men often do. They still face hurdles in the business world, especially problems in raising money; the banking and finance world is still dominated by men, and old attitudes die hard. Most businesses owned by women are still quite small. But the situation is changing; there are likely to be many more Sandra Kurtzigs in the years ahead.  

Question 43: All of the following were mentioned in the passage as detriments to women in the business world EXCEPT__________.         

Question 38: The phrase “those forms” in the passage refers to all of the following EXCEPT         

Question 37: Man can hardly understand why many animals live their whole life in the desert, as________.         

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions from 36 to 40:

Since water is the basis of life, composing the greater part of the tissues of all living things, the crucial problem of desert animals is to survive in a world where sources of flowing water are rare. And since man’s inexorable necessity is to absorb large quantities of water at frequent intervals, he can scarcely comprehend that many creatures of the desert pass their entire lives without a single drop. Uncompromising as it is, the desert has not eliminated life but only those forms unable to withstand its desiccating effects. No moist-skinned, water-loving animals can exist there. Few large animals are found. The giants of the North American desert are the deer, the coyote, and the bobcat. Since desert country is open, it holds more swift-footed running and leaping creatures than the tangled forest. Its population is largely nocturnal, silent, filled with reticence, and ruled by stealth. Yet they are not emaciated. Having adapted to their austere environment, they are as healthy as animals anywhere else in the word. The secret of their adjustment lies in the combination of behavior and physiology. None could survive if, like mad dogs and Englishmen, they went out in the midday sun; many would die in a matter of minutes. So most of them pass the burning hours asleep in cool, humid burrows underneath the ground, emerging to hunt only by night. The surface of the sun-baked desert averages around 150 degrees, but 18 inches down the temperature is only 60 degrees.  

Question 40: The word “emaciated” in the passage mostly means__________.         

  Question 39: According to the passage, creatures in the desert________.         

Read the following pasage and mark the letter A, B, C or D on your answer sheet ti indicate the correct answer to each of the questions:  

 Over the past 600 years, English has grown from a language of few speakers to become the dominant language of international communication. English as we know it today emerged around 1350, after having incorporated many elements of French that were introduced following the Norman invasion off 1066. Until the 1600s, English was, for the most part, spoken only in England and had not expanded even as far as Wales, Scotland, or Ireland. However, during the course of the next two century, English began to spread around the globe as a result of exploration, trade (including slave trade), colonization, and missionary work. Thus, small enclaves of English, speakers became established and grew in various parts of the world. As these communities proliferated, English gradually became the primary language of international business, banking, and diplomacy.

 Currently, about 80 percent of the information stored on computer systems worldwide is in English. Two thirds of the world's science writing is in English, and English is the main language of technology, advertising, media, international airport, and air traffic controllers. Today there are more than 700 million English users in the world, and over half of these are non-native speakers, constituting the largest number of non-native users than any other language in the world.  

Question 42: According to the passage, approximately how many non-native users of English are there in the world today?

Read the following pasage and mark the letter A, B, C or D on your answer sheet ti indicate the correct answer to each of the questions:  

 Over the past 600 years, English has grown from a language of few speakers to become the dominant language of international communication. English as we know it today emerged around 1350, after having incorporated many elements of French that were introduced following the Norman invasion off 1066. Until the 1600s, English was, for the most part, spoken only in England and had not expanded even as far as Wales, Scotland, or Ireland. However, during the course of the next two century, English began to spread around the globe as a result of exploration, trade (including slave trade), colonization, and missionary work. Thus, small enclaves of English, speakers became established and grew in various parts of the world. As these communities proliferated, English gradually became the primary language of international business, banking, and diplomacy.

 Currently, about 80 percent of the information stored on computer systems worldwide is in English. Two thirds of the world's science writing is in English, and English is the main language of technology, advertising, media, international airport, and air traffic controllers. Today there are more than 700 million English users in the world, and over half of these are non-native speakers, constituting the largest number of non-native users than any other language in the world.  

Question 41: In the second paragraph, the word "stored" is closest in meaning to____________ .