Cho hàm số f(x) liên tục trên ℝ và thoả mãn f(x)+f(−x)=2+2cos2x,∀x∈ℝ. Tính tích phân

Cho tích phân  với a, b, c là các số nguyên. Tính P = abc.  

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:

Psychologists who work on motivation research a wide range of human traits and physiological characteristics that include the effects of hunger, reward, and punishment, as well as desires for power, tangible achievement, social acceptance, belongingness, self-esteem, and self-actualization. A plethora of hypotheses developed in the nineteenth and twentieth centuries have the goal of identifying causes of an organism’s behavior that can be both conscious and unconscious. The hierarchical organization of human needs is a theoretical model, originally established by an American psychologist, Abraham Maslow, in 1954. The needs located at the bottom of the pyramid are the essentials of physiological survival that encompass oxygen, water, nutrition, rest and avoidance of pain. Maslow’s theory, grounded in research, also stipulated that these are variable and, at least to some extent, may explain, for example, food gratification. The second tier is rooted in the human need for safety, stability and protection.

In the human life cycle, the needs for belonging are manifested in the desires to marry, have a family, belong in a community or among similarly minded people. In part, the need to belong can also show up in a search for particular types of occupations or careers. The next level of the hierarchy in effect deals with two substrata, where the first presumes the need for status, prestige, recognition, appreciation, and dominance, and the higher division includes a conglomeration of emotionally centered traits that pivot on competence, confidence, mastery, achievement, independence, and freedom.

The top tier is different from all others, and Maslow referred to it as growth motivation and self-actualization. At the highest level, individuals seek to realize and put to use their creativity, talent, leadership, curiosity and understanding. At this level people can reach their full potentials and accurately perceive and accept reality, seek privacy and depth in personal relationships, resist enculturation, and develop social interests, compassion, and humanity. In many cases, self-actualizers do not lead ordinary lives, choose growth over safety, and cultivate peak experiences that leave their mark and change one for the better.

Question 39: The word “these” in paragraph 1 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:

The penny press, which emerged in the United States during the 1830's, was a powerful agent of mass communication. These newspapers were little dailies, generally four pages in length, written for the mass taste. They differed from the staid, formal presentation of the conservative press, with its emphasis on political and literary topics. The new papers were brief and cheap, emphasizing sensational reports of police courts and juicy scandals as well as human interest stories. Twentieth-century journalism was already foreshadowed in the penny press of the 1830's. The New York Sun, founded in 1833, was the first successful penny paper, and it was followed two years later by the New York Herald, published by James Gordon Bennett. Not long after, Horace Greeley issued the New York Tribune, which was destined to become the most influential paper in America. Greeley gave space to the issues that deeply touched the American people before the Civil War-abolitionism, temperance, free homesteads, Utopian cooperative settlements, and the problems of labor. The weekly edition of the Tribune, with 100,000 subscribers, had a remarkable influence in rural areas, especially in Western communities. Americans were reputed to be the most avid readers of periodicals in the world. An English observer enviously calculated that, in 1829, the number of newspapers circulated in Great Britain was enough to reach only one out of every thirty-six inhabitants weekly; Pennsylvania in that same year had a newspaper circulation which reached one out of every four inhabitants weekly. Statistics seemed to justify the common belief that Americans were devoted to periodicals. Newspapers in the United States increased from 1,200 in 1833 to 3,000 by the early 1860's, on the eve of the Civil War. This far exceeded the number and circulation of newspapers in England and France.

Question 41: The word “avid” in paragraph 3 is closest in 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:

The penny press, which emerged in the United States during the 1830's, was a powerful agent of mass communication. These newspapers were little dailies, generally four pages in length, written for the mass taste. They differed from the staid, formal presentation of the conservative press, with its emphasis on political and literary topics. The new papers were brief and cheap, emphasizing sensational reports of police courts and juicy scandals as well as human interest stories. Twentieth-century journalism was already foreshadowed in the penny press of the 1830's. The New York Sun, founded in 1833, was the first successful penny paper, and it was followed two years later by the New York Herald, published by James Gordon Bennett. Not long after, Horace Greeley issued the New York Tribune, which was destined to become the most influential paper in America. Greeley gave space to the issues that deeply touched the American people before the Civil War-abolitionism, temperance, free homesteads, Utopian cooperative settlements, and the problems of labor. The weekly edition of the Tribune, with 100,000 subscribers, had a remarkable influence in rural areas, especially in Western communities. Americans were reputed to be the most avid readers of periodicals in the world. An English observer enviously calculated that, in 1829, the number of newspapers circulated in Great Britain was enough to reach only one out of every thirty-six inhabitants weekly; Pennsylvania in that same year had a newspaper circulation which reached one out of every four inhabitants weekly. Statistics seemed to justify the common belief that Americans were devoted to periodicals. Newspapers in the United States increased from 1,200 in 1833 to 3,000 by the early 1860's, on the eve of the Civil War. This far exceeded the number and circulation of newspapers in England and France.

Question 40: The word “remarkable” in paragraph 2 is closest in 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:

The penny press, which emerged in the United States during the 1830's, was a powerful agent of mass communication. These newspapers were little dailies, generally four pages in length, written for the mass taste. They differed from the staid, formal presentation of the conservative press, with its emphasis on political and literary topics. The new papers were brief and cheap, emphasizing sensational reports of police courts and juicy scandals as well as human interest stories. Twentieth-century journalism was already foreshadowed in the penny press of the 1830's. The New York Sun, founded in 1833, was the first successful penny paper, and it was followed two years later by the New York Herald, published by James Gordon Bennett. Not long after, Horace Greeley issued the New York Tribune, which was destined to become the most influential paper in America. Greeley gave space to the issues that deeply touched the American people before the Civil War-abolitionism, temperance, free homesteads, Utopian cooperative settlements, and the problems of labor. The weekly edition of the Tribune, with 100,000 subscribers, had a remarkable influence in rural areas, especially in Western communities. Americans were reputed to be the most avid readers of periodicals in the world. An English observer enviously calculated that, in 1829, the number of newspapers circulated in Great Britain was enough to reach only one out of every thirty-six inhabitants weekly; Pennsylvania in that same year had a newspaper circulation which reached one out of every four inhabitants weekly. Statistics seemed to justify the common belief that Americans were devoted to periodicals. Newspapers in the United States increased from 1,200 in 1833 to 3,000 by the early 1860's, on the eve of the Civil War. This far exceeded the number and circulation of newspapers in England and France.

Question 43: The word “justify” in paragraph 3 is closest in 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:

The penny press, which emerged in the United States during the 1830's, was a powerful agent of mass communication. These newspapers were little dailies, generally four pages in length, written for the mass taste. They differed from the staid, formal presentation of the conservative press, with its emphasis on political and literary topics. The new papers were brief and cheap, emphasizing sensational reports of police courts and juicy scandals as well as human interest stories. Twentieth-century journalism was already foreshadowed in the penny press of the 1830's. The New York Sun, founded in 1833, was the first successful penny paper, and it was followed two years later by the New York Herald, published by James Gordon Bennett. Not long after, Horace Greeley issued the New York Tribune, which was destined to become the most influential paper in America. Greeley gave space to the issues that deeply touched the American people before the Civil War-abolitionism, temperance, free homesteads, Utopian cooperative settlements, and the problems of labor. The weekly edition of the Tribune, with 100,000 subscribers, had a remarkable influence in rural areas, especially in Western communities. Americans were reputed to be the most avid readers of periodicals in the world. An English observer enviously calculated that, in 1829, the number of newspapers circulated in Great Britain was enough to reach only one out of every thirty-six inhabitants weekly; Pennsylvania in that same year had a newspaper circulation which reached one out of every four inhabitants weekly. Statistics seemed to justify the common belief that Americans were devoted to periodicals. Newspapers in the United States increased from 1,200 in 1833 to 3,000 by the early 1860's, on the eve of the Civil War. This far exceeded the number and circulation of newspapers in England and France.

Question 42: The figures concerning newspaper circulation in Pennsylvania in 1829 are relevant because they_______          

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:

The penny press, which emerged in the United States during the 1830's, was a powerful agent of mass communication. These newspapers were little dailies, generally four pages in length, written for the mass taste. They differed from the staid, formal presentation of the conservative press, with its emphasis on political and literary topics. The new papers were brief and cheap, emphasizing sensational reports of police courts and juicy scandals as well as human interest stories. Twentieth-century journalism was already foreshadowed in the penny press of the 1830's. The New York Sun, founded in 1833, was the first successful penny paper, and it was followed two years later by the New York Herald, published by James Gordon Bennett. Not long after, Horace Greeley issued the New York Tribune, which was destined to become the most influential paper in America. Greeley gave space to the issues that deeply touched the American people before the Civil War-abolitionism, temperance, free homesteads, Utopian cooperative settlements, and the problems of labor. The weekly edition of the Tribune, with 100,000 subscribers, had a remarkable influence in rural areas, especially in Western communities. Americans were reputed to be the most avid readers of periodicals in the world. An English observer enviously calculated that, in 1829, the number of newspapers circulated in Great Britain was enough to reach only one out of every thirty-six inhabitants weekly; Pennsylvania in that same year had a newspaper circulation which reached one out of every four inhabitants weekly. Statistics seemed to justify the common belief that Americans were devoted to periodicals. Newspapers in the United States increased from 1,200 in 1833 to 3,000 by the early 1860's, on the eve of the Civil War. This far exceeded the number and circulation of newspapers in England and France.

Question 37: Which of the following would LEAST likely be in a penny-press paper?         

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:

The penny press, which emerged in the United States during the 1830's, was a powerful agent of mass communication. These newspapers were little dailies, generally four pages in length, written for the mass taste. They differed from the staid, formal presentation of the conservative press, with its emphasis on political and literary topics. The new papers were brief and cheap, emphasizing sensational reports of police courts and juicy scandals as well as human interest stories. Twentieth-century journalism was already foreshadowed in the penny press of the 1830's. The New York Sun, founded in 1833, was the first successful penny paper, and it was followed two years later by the New York Herald, published by James Gordon Bennett. Not long after, Horace Greeley issued the New York Tribune, which was destined to become the most influential paper in America. Greeley gave space to the issues that deeply touched the American people before the Civil War-abolitionism, temperance, free homesteads, Utopian cooperative settlements, and the problems of labor. The weekly edition of the Tribune, with 100,000 subscribers, had a remarkable influence in rural areas, especially in Western communities. Americans were reputed to be the most avid readers of periodicals in the world. An English observer enviously calculated that, in 1829, the number of newspapers circulated in Great Britain was enough to reach only one out of every thirty-six inhabitants weekly; Pennsylvania in that same year had a newspaper circulation which reached one out of every four inhabitants weekly. Statistics seemed to justify the common belief that Americans were devoted to periodicals. Newspapers in the United States increased from 1,200 in 1833 to 3,000 by the early 1860's, on the eve of the Civil War. This far exceeded the number and circulation of newspapers in England and France.

Question 36: What does the author mean by the statement “Twentieth-century journalism was foreshadowed by the penny press of the 1930’s” in paragraph 1?         

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:

The penny press, which emerged in the United States during the 1830's, was a powerful agent of mass communication. These newspapers were little dailies, generally four pages in length, written for the mass taste. They differed from the staid, formal presentation of the conservative press, with its emphasis on political and literary topics. The new papers were brief and cheap, emphasizing sensational reports of police courts and juicy scandals as well as human interest stories. Twentieth-century journalism was already foreshadowed in the penny press of the 1830's. The New York Sun, founded in 1833, was the first successful penny paper, and it was followed two years later by the New York Herald, published by James Gordon Bennett. Not long after, Horace Greeley issued the New York Tribune, which was destined to become the most influential paper in America. Greeley gave space to the issues that deeply touched the American people before the Civil War-abolitionism, temperance, free homesteads, Utopian cooperative settlements, and the problems of labor. The weekly edition of the Tribune, with 100,000 subscribers, had a remarkable influence in rural areas, especially in Western communities. Americans were reputed to be the most avid readers of periodicals in the world. An English observer enviously calculated that, in 1829, the number of newspapers circulated in Great Britain was enough to reach only one out of every thirty-six inhabitants weekly; Pennsylvania in that same year had a newspaper circulation which reached one out of every four inhabitants weekly. Statistics seemed to justify the common belief that Americans were devoted to periodicals. Newspapers in the United States increased from 1,200 in 1833 to 3,000 by the early 1860's, on the eve of the Civil War. This far exceeded the number and circulation of newspapers in England and France.

Question 39: Who was Horace Greeley?         

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:

The penny press, which emerged in the United States during the 1830's, was a powerful agent of mass communication. These newspapers were little dailies, generally four pages in length, written for the mass taste. They differed from the staid, formal presentation of the conservative press, with its emphasis on political and literary topics. The new papers were brief and cheap, emphasizing sensational reports of police courts and juicy scandals as well as human interest stories. Twentieth-century journalism was already foreshadowed in the penny press of the 1830's. The New York Sun, founded in 1833, was the first successful penny paper, and it was followed two years later by the New York Herald, published by James Gordon Bennett. Not long after, Horace Greeley issued the New York Tribune, which was destined to become the most influential paper in America. Greeley gave space to the issues that deeply touched the American people before the Civil War-abolitionism, temperance, free homesteads, Utopian cooperative settlements, and the problems of labor. The weekly edition of the Tribune, with 100,000 subscribers, had a remarkable influence in rural areas, especially in Western communities. Americans were reputed to be the most avid readers of periodicals in the world. An English observer enviously calculated that, in 1829, the number of newspapers circulated in Great Britain was enough to reach only one out of every thirty-six inhabitants weekly; Pennsylvania in that same year had a newspaper circulation which reached one out of every four inhabitants weekly. Statistics seemed to justify the common belief that Americans were devoted to periodicals. Newspapers in the United States increased from 1,200 in 1833 to 3,000 by the early 1860's, on the eve of the Civil War. This far exceeded the number and circulation of newspapers in England and France.

Question 38: The word “it” in paragraph 2 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:

Broad-tailed hummingbirds often nest in quaking, slender deciduous trees with smooth, gray-green bark found in the Colorado Rockies of the Western United States. After flying some 2,000 kilometres north from where they have wintered in Mexico, the hummingbirds need six weeks to build a nest, incubate their eggs, and raise the chicks. A second nest is feasible only if the first fails early in the season. Quality, not quantity, is what counts in hummingbird reproduction. A nest on the lowest intact branch of an aspen will give a hummingbird a good view, a clear flight patch, and protection for her young. Male hummingbirds claim feeding territories in open meadows where, from late May through June, they mate with females coming to feed but take no part in nesting. Thus when the hen is away to feed, the nest is unguarded. While the smooth bark of the aspen trunk generally offers a poor grip for the claws of a hungry squirrel or weasel, aerial attacks, from a hawk, owl, or gray jay, are more likely. The choice of where to build a nest is based not only on the branch itself but also on what hangs over it. A crooked deformity in the nest branch, a second, unusually close branch overhead, or proximity to part of a trunk bowed by a past ice storm are features that provide shelter and make for an attractive nest site. Scarcely larger than a halved golf ball, the nest is painstaking constructed of spider webs and plant down, decorated and camouflaged outside with paper-like bits of aspen bark held together with more strands of spider silk. By early June it will hold two pea-sized eggs, which each weigh one-seventh of the mother's weight, and in sixteen to nineteen days, two chicks.

Question: What aspect of broad-tailed hummingbird behaviour does the passage mainly discuss?