This website uses cookies to ensure you have the best experience. Learn more

Undemanding Services Essay

794 words - 4 pages

Calculus 2 (BT)

Homework Assignment #1

Spring 2015

Deadline: 8:00 AM on Thursday, March 26, 2015 Remarks: -Students hand in the solutions to the first 25 problems listed below: 20 problems of Chapter 1 and problems 1-5 of Chapter 2. -Students should show the solutions in A4 paper size. The solutions must be in the order as listed. Chapter 1: (20 problems) Section 9.1: 45. Section 9.2: 18, 27, 33, 53, 55. Section 9.3: 4, 5, 39, 42. Section 9.5: 4, 11, 21, 22. Section 9.6: 11, 22, 30, 37, 40, 53. Chapter 2: 1. Write down the augmented matrix, and then solve the following systems of linear equations. Comment on each case (e.g. the number of equations and unknowns, whether there is inconsistency, whether the solutions are unique, many, trivial, etc.). (a) x − 2y − z − w = −4 3x + y + z − 2w = 11 x + 12y + 7z + w = 31. (b) 2x + y + 5z = 1 x − 3y + 6z = 2 3x + 5y + 4z = 0 (c) 2x + 5y − z = 15 x − y + 3z = 4 3x + 3y − 5z = 2. (d) x1 + 2x2 + ...view middle of the document...

The corresponding units for An Giang are 31, 24, and 11. How many bags of each brand of fertilizer should be used per acre for each farm? Hint: a. Dong Nai: (x, y, z) = (5, 2, 3). b. An Giang: (x, y, z) = (2, 4, 7). 3. Find values of a, b, and c such that the graph of the polynomial p(x) = ax2 + bx + c passes through the points (1, 2), (−1, 6), and (2, 3). Hint: a = 1, b = 2, and c = 3. 4. A dietician is preparing a meal consisting of foods A, B, and C. Each ounce of food A contains 2 units of protein, 3 units of fat, and 4 units of carbohydrate. Each ounce of food B contains 3 units of protein, 2 units of fat, and 1 unit of carbohydrate. Each ounce of food C contains 3 units of protein, 3 units of fat, and 2 units of carbohydrate. If the meal must provide exactly 25 units of protein, 24 units of fat, and 21 units of carbohydrate, how many ounces of each type of food should be used? 5. A= 1 0 −2 4 , 2 1 B= 3 5 −1 , 0  −2 1   C = 5 3 , 4 0 


4 −2 . −2 1

State whether the followings exist. Find those which do exist. (a) A + B (b) B + D (c) 3AT C (d) AB 2 (e) BA (f) A = AA (g) AAT (h) BACD. 6. Evaluate the following determinants (a) a 0 0 1 b 0 3 d c (b) 5 7 −1 1 2 0 3 1 3 7. Let A= 2 −1 4 2 ,B = −3 4 1 −1 2

Calculus 2 (BT)

Homework Assignment #1

Spring 2015

(a) Compute |A|, |B|, A−1 , and B −1 . (b) Verify that (AB)−1 = B −1 A−1 and |AB| = |A||B|. 8. (a) Find the inverse of matrix A, and (b) use it to solve the given system of equations.   1 0 −2 4  A =  −3 1 2 −3 4 x − 2z = 1 −3x + y + 4z = 2 2x − 3y + 4z = −1 Hint: A−1  8 3 1 =  10 4 1  
7 2 3 2 1 2

9. Find the eigenvalues and eigenvectors of the following matrices: (a) 1 5 A= 3 −1 (b)  1 0 0 B= 0 1 2  0 0 2 10. Balance the following chemical equations using the vector equation approach discussed in the lecture: (a) Limestone, CaCO3 , neutralizes the acid, H3 O, in acid rain by the following unbalanced equation: H3 O + CaCO3 → H2 O + Ca + CO2 (b) Alka-Seltzer contains sodium bicarbonate (N aHCO3 ) and citric acid (H3 C6 H5 O7 ). When a tablet is dissolved in water, the following reaction produces sodium citrate, water, and carbon dioxide (gas): N aHCO3 + H3 C6 H5 O7 → N a3 C6 H5 O7 + H2 O + CO2 -END


Other Papers Like Undemanding Services

Holidays In Albania Essay

1636 words - 7 pages Have you ever thought about having exciting and incredibly cheap vacations? Albania might be the right choice. According to My Travel Guide, Albania is ranked the fourth among ten places worth visiting in Eastern Europe (“Top 10 Eastern European Destinations”). One can encounter three kinds of vacations in this Mediterranean country: winter, summer, and cultural. The ideal places to spend your winter vacations are the Albanian Alps. They are

A Heart Of Darkness Essay

1748 words - 7 pages In this short story, there are frequent significant subject and ideas that make the story, "A Heart of Darkness," by Joseph Conrad, and haunting novel. The main theme is absolute white power over the natives. The theme validates the corruption, and the dependence caused by the white people as they took over the Congo. White men were giving all the power; they had no self-control, and in the end they did not use wisely. The white men became

The Aspects Of Vulnerability Among The Exploited In Medical Research

2287 words - 10 pages Essentially, everyone is in some state of vulnerability. However, some of us are more susceptible to harm due to our vulnerabilities. The susceptible are the individuals with the greatest risk. These individuals risk the loss of their autonomy, and maybe even their lives. Vulnerable populations can be found in every subset of society. However, as previously mentioned, there are some vulnerable populations that are at an even greater risk than

The Hitchhiker’S Guide To The Galaxy

1171 words - 5 pages The Hitchhiker’s Guide to the Galaxy As the human race makes life-changing discoveries, it is made apparent that there is always more to learn as the universe, instead of becoming familiar, is becoming absurd. The Hitchhiker’s Guide to the Galaxy, written by Douglas Adams, as well as the 2005 film adaption, portrays absurdity to be an all-encompassing system in the universe. Through the introduction and attempt to understand lack of reason, the

The Ford Motor Company Wage Increase Of 1914 And The Theory Of Incentives And Efficiency Wages

1252 words - 6 pages ‘It’s not the employer who pays the wages. Employers only handle the money. It is the customer who pays the wages’ (Henry Ford, cited in Johnson and Weinstein 2004, p. 2). When the Ford Motor Company announced that it would more than double the wages of its workers in January 1914 to a ‘five-dollar day’ minimum, was this a contradiction to Henry Ford’s statement? If customers are actually the ultimate payers of wages, then more than

Historical Analysis Of The Economical Breakthroughs Of The Industrial Revolution

1396 words - 6 pages A Historical Analysis of the Economical Breakthroughs of the Industrial Revolution During the Industrial Revolution, many elements of society experienced huge breakthroughs that would change the way they functioned forever. Economics were definitely one of them. With many new inventions and many factories appearing, many, many, more resources were being created than ever before. Also, all of the revenue from these resources was being given to

Leadership Portrayed in Monologue from Shakespeare’s Henry V

1214 words - 5 pages Leadership is defined as a socially constructed process and which also affect organizational future outcomes. Leader is someone at high position who have overall duty for an organization, she or he decide what to do and the way how to achieve it. (Carter and Greer, 2013)The role of leader is extremely important for an organization, leader use their own power to influence the followers though many different ways such as motivation in order to

Cuba Civil Rights

1906 words - 8 pages Picture a country that has limits on how much you can make random government imprisonments and more what do you do. That is the situation for the eleven million seventy-five thousand two hundred forty-four people of Cuba since the takeover of Fidel Castro. The US is opposed to Castro taking control of Cuba. Castro managed to ease the United States nerves when he said that Cuba was against all forms of communism. According to Lana Wylie the Union

US Freight System

1273 words - 6 pages . Fifteen years ago was easier for NITL members to recognize this value. Nowadays, the technological advances, like internet and video conference has created new knowledge available, faster and cheaper in the web, and video conference has reduced the traveling costs making the consulting services for transportation matters cheaper. These technological variables are a significant threat for NITL that attacks its main strengths. Industry Environment

Democratic Peace Theory

1852 words - 8 pages Intro: US Presidents have made it a goal during their term(s) in office to establish a good relationship with foreign countries and even try to improve upon existing connections with our allies. Some believe it is to prevent conflicts between the countries while others dispute that it is a threat assessment by the United States to pick and choose their friends and enemies. Preventing conflict between two democracies or countries that practice

Booker T. Washington

1621 words - 7 pages “Success is to be measured not so much by the position that one has reached in life as by the obstacles which he has overcome” –Booker T. Washing. Booker Taliaferro Washington was born in Hale’s Ford, Virginia on April 5th, 1856 to Jane Burroughs and an unknown White man. Washington was married three times. His first wife was Fannie N. Smith from Malden, West Virginia. Booker and Fannie were married in the summer of 1882 and had one child

Related Essays

Communication Essay

1544 words - 7 pages ”. Overtime, the techniques and ways of communicating have developed significantly. In history, hieroglyphics and primordial cave paintings were employed when conveying messages. At present, communication has developed and is quite undemanding. Video chats, Instant messages and the Internet among others make it easy to connect with and communicate with more people than ever before.The major purpose of communicating is to sort the sender’s meaning

Freedom And Responsibility Essay

2141 words - 9 pages Built within the Constitution of the United States are specifically defined freedoms that are guaranteed to all citizens. Conversely, with every constitutional freedom there comes a corresponding responsibility. On September 25, 1789, the state legislature’s twelve proposed amendments were transmitted by congress, the first two dealing with congressional representation and congressional pay. The following numbers three through twelve were

Hate Crime Laws Essay

2348 words - 10 pages On June 7, 1998, 49-year-old James Byrd Jr. of Texas accepted a ride from three white men, who then beat him severely, urinated on him, chained him by his ankles to the back of their pick-up truck, dragged him for three miles into the countryside, and dumped his corpse in front of an African-American cemetery (Graczyk). A little over a year later, a jury sentenced ring leader John King to death by lethal injection (“Man Executed for Dragging

Rational Emotional Behavior Therapy Case Study Conceptualization And Treatment Plan

2140 words - 9 pages Rational Emotional Behavior Therapy Case Study of Sarah: A Conceptualization and Treatment Plan Rational emotive behavior therapy, REBT, was developed by Albert Ellis and holds the central belief that the events in our lives do not cause our disturbances but that they are instead caused by our view of the events (Murdock, 2009). Murdock (2009) states that “people are seen as responsible for their behavior” (p. 279) but, because they are