Butts

In: Film and Music

Submitted By supercoolghost8
Words 479
Pages 2
Honors Algebra II Supplemental Notes

Oblique Asymptotes
Key Concepts:
An oblique asymptote is an oblique, or slanted, line that the graph of a function approaches, but never touches, as x → ∞ ( x approaches infinity). To find the oblique asymptote of a rational function: 1. Reduce the rational function

P( x) to lowest terms. An oblique asymptote can be found Q( x) when the degree of P ( x) is one greater than the degree of Q ( x ) . c 2. Divide P ( x) by Q ( x ) using long division to get the form ax + b + , where a, b, and Q( x) c are constants. 3. The term

c c → 0 as x → ∞ . Eliminating the remainder , we are left Q( x) Q( x) with f ( x ) → ax + b as x → ∞ . y = ax + b is an oblique asymptote for the rational function P( x) . Q( x)

4.

f ( x) =

4 x3 + 9 x 2 x2 + x

Follow the steps outlined above to determine the oblique asymptote for the given rational function. The first step is to check that the rational function is reduced to lowest terms. If not, we must reduce it.

x(4 x 2 + 9 x) 4 x 2 + 9 x / f ( x) = = x( x + 1) x +1 /

4x + 5 x + 1 4x2 + 9x −(4 x 2 + 4 x)
5x −(5 x + 5)
−5
We use long division to put form ax + b +

4x2 + 9x in the x +1

c . Q ( x)

4x + 5 +

−5 x +1
Determine the value of f(x) as x → ∞ . This is the oblique asymptote.

f ( x) → 4 x + 5 y = 4x + 5

CTY Distance Math

Oblique Asymptotes

1

y = f ( x) =

4x + 9x
3

x2 + x

y = 4x + 5

This graph displays both the rational expression f ( x) and its oblique asymptote. Note that in addition to the oblique asymptote, a vertical asymptote exists at x = −1 . These act as guidelines to shape the curve.

Practice Problems:
1. Find any oblique asymptotes for the rational function

2x2 + x + 1 . y = f ( x) = x
2. Find any oblique asymptotes for the rational function

2 x3 + x . y = f ( x) = 2 x −1
3. Find all of the asymptotes for the…...

Similar Documents

How I Met Your Godmother

...this President Clinton: Beavis and Butt-head, on behalf of your fellow Americans I extend my deepest thanks. You exemplify a fine new crop of young Americans who will grow into the leaders of this great country. Butt-head: Huh huh huh huh. He said, "extend." Beavis: Oh, yeah. Share this Butt-head's Dad: Hey, one of you bastards got a match? Butt-head: Uh, yeah. My butt and your, uh, butt. Uh huh huh. Share this [after apprehending Butt-head] Agent Fleming: Agent Hurly, I want you to give this scumbag a cavity search. I'm talking Roto-Rooter. Don't stop until you reach the back of his teeth. Share this Hoover Dam Guide: Now, can anybody tell me how much energy it takes to power Las Vegas? Beavis: Yeah, I just have a question. Um, is this a God dam? Share this [walking down hallway of the White House, stops at picture of Nixon and stares at it] Beavis: Are you threatening ME? Share this Concierge: [leading Beavis and Butt-head into their room] I'm sorry about that little misunderstanding, gentlemen. We didn't realize you were registered guests. If there's anything we can do to... Beavis: [sees TV and remote attached to table, tries to lift it] Damn it. This thing is stuck. Concierge: Sir, it's attached to the... Butt-head: You dumb-ass, let me try. Beavis: [stops] Hey, check it out. That guy's still standing there. [Concierge holds out hand, expecting tip] Butt-head: Uhh, could you, like, not stand there and stuff? Butt-head: [as soon as concierge......

Words: 2889 - Pages: 12

Butt

...SUMAIRA M.ZAHID DOB: 13TH September, 1985 Sanya_saeed@hotmail.com B-10, Five Star Luxury Apartment, Block 14, Gulshan-e-Iqbal, Karachi, Pakistan. Cell: + 92 (0) 343 216 01 88 Objective: To have a challenging position: enabling me to utilize my managerial, analytical and organizational skills in a competitive organization; well versed to work amongst the team or independently. Education: PAF KIET UNIVERSITY EMBA (Marketing) 2013 In Roll Govt College of Education, Karachi Pakistan B.Ed 2009 Karachi University, Karachi Pakistan MA (International Relations) 2008 Sir Syed Girls College, Karachi Pakistan B.com 2005 Pioneer Grammar School, Karachi Pakistan Matriculation 2001 Work Experience: As Sales Executive August, 2011 – January, 2014. SM Jaffer & Company. Sales and Proposal Management of 8.5 kVA to 2500 kVA FG Wilson U.K. brand Diesel Operated Generating Sets. Project handling; monitor all queries related to running cases. Organize jointly in order of Petrol Genset for Origin of Countries (Japan, China), also Organize a New Year Party 2013, at Port Grand for SMJ Staff. Job Responsibilities. • Prepare Monthly Sales report and follow up all cases. • Prepare sales projection sheet and follow up running sold cases, (from commissioning till recovering the payment). • Recurring outstanding from Banks and general client. • After sold the DGSet, Responsible......

Words: 495 - Pages: 2

British History Essay

...IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I LOVE DICKS IN MY BUTT I......

Words: 2912 - Pages: 12

Butt

...1 The Foundations of International Society 2013-2014 Part I: Politics 2 (International Relations I) Paper organiser: Professor Christopher Hill (POLIS): Room 105, Alison Richard Building Email: cjh68@cam.ac.uk Lecturers: Professor Hill (CH), Dr Elisabetta Brighi (EB), Dr Aaron Rapport (AR) and Dr Stefano Recchia (SR). Aims and Objectives The course aims to introduce students to the subject of International Relations (IR), whose main focus is the nature of politics at the international level. Students will acquire the empirical and conceptual foundations needed to understand a world political system which cannot be accurately described as either pure anarchy or a coherent form of ‘global governance’. The starting point is the notion of ‘international society’, which refers to the set of institutions and common procedures generated by states over the last three and a half centuries in their attempts to achieve some minimal form of co-existence, but which has gradually evolved to include many non-state actors and different levels of activity – diplomatic, economic and cultural, as well as that of military competition. By the end of the course you should be able to have an informed discussion about: the historical origins of the present system; what is distinctive about international politics as opposed to politics inside the state; and the main challenges which confront humanity in the twenty-first century. You will also acquire a basic familiarity with the main theories......

Words: 12326 - Pages: 50

Butt

...Chapter 9 224. Within the aggregate demand/aggregate supply framework, the quantity on the horizontal axis in the aggregate goods and services market represents the |a. |total amount of government spending. | |b. |total real output (real GDP) of the economy. | |c. |total unemployment of the economy. | |d. |price level of the economy. | ANS: B 225. In the loanable funds market, the true burden of borrowers and the true yield to lenders is the |a. |real (inflation adjusted) interest rate. | |b. |nominal (money) interest rate. | |c. |inflation rate. | |d. |inflation premium rate (in money terms). | ANS: A 226. When AD is equal to SRAS at an output level equal to the LRAS curve, |a. |we are at long-run macroeconomic equilibrium. ...

Words: 4426 - Pages: 18

The World, My Butt, and Other Big Round Things

...Within the book The Earth, My Butt, and Other Big Round Things, I felt as I was sitting with Virginia listening to her tell me this story in which I became enraged with anger, sadness, and also proud of her. A teenager with self-confidence issues is not out of the ordinary, but parents that contribute to it is absurd and depressing. The perfect family in which Virginia feels like she is not a part of, huge body issues, feeling alone at school and then her world is flipped upside down by her brother’s date rape really got to me in many ways. The view that Virginia portrays of her family is less than perfect which is the complete opposite of what the family believes they are. I was absolutely annoyed with the family life her Mom pretends they have. Byron puts himself above her, and chooses to treat her as he does not care for her. With her Mom being a psychologist, I cannot understand why she always seems to put her other kids in a separate category than Virginia is in. From this, I actually have caught myself making sure that I treat all of my kids fairly. In my own life, I was the youngest and never really had any issues with my parents favoring my brothers over me but I have questioned myself with my own kids. I have always done my best at trying to make everything equal for them. Having kids of my own, I have seen an array of issues with all of them. I am completely supportive of their choices in clothing and whatever their size. Virginia’s parents and......

Words: 963 - Pages: 4

Up Your Butt

...Compare and Contrast Essay Remaking the World by Brule Sioux and Montezuma and The Great Flood by Papago are both excellent pieces of Native American literature. The stories share similar characteristics such as looking up to a God-like figure also know as a Creating Power or Great Mystery Power. Remaking the World contains the story of how the world was created, but also what it took to create this world. The Creating Power had made a world, but he was not satisfied by how the people had behaved, so he decided to create a new one. Throughout the story, the Creating Power is shown as a powerful person who has the ability to teach and bring people and animals together. The Creating Power said to them: “Now if you have learned how to behave like human beings and how to live in peace with each other and other living beings- the two-legged, the four-legged, the many-legged, the fliers, the no-legs, the green plants of this universe- then all will be well. But if you make this world bad and ugly, then I will destroy this world too. It’s up to you”. Montezuma and The Great Flood have a similar character known as The Great Mystery Power. This character guides the leader, Montezuma on a journey of how to teach his people the necessities of life such as making baskets and cooking food. Montezuma’s power went to his head and eventually lost his empire due to his arrogance. Montezuma answered: “I don’t need your advice. Who are you to try to correct Great Montezuma? Am I not high......

Words: 971 - Pages: 4

Butt

...Cameron Coffee 10/3/2014 POS2041 During a morning swarming with spectacle and ceremony and faith, Elmira Mangum was mounted Friday as Florida A&M University's 11th president. Mangum, the first female leader in FAMU's 127-year history, purposely chose Founder's Day, the celebration of the university's creation in 1887, for her inauguration and swearing-in ceremony. The previous vice president for budget and finance at Cornell University highlighted time and again during her address that it is a new season at FAMU. She also surprised the audience with an announcement of a new $5 million gift from FAMU graduate John Thompson, chairman of the board at Microsoft. The installation took place in the Lawson Center, the same facility where the FAMU Board of Trustees interviewed Mangum and selected her to be the university's permanent president. The ceremony also served as a moment of closure for James Ammons, FAMU's 10th president. He resigned in July 2012 in the aftermath of the hazing death of a marching band drum major, but he was on the stage with Mangum Friday and presented her with the university's presidential medal. “Its weight is a reminder of the heavy responsibilities that must be willingly carried by all who occupy positions of leadership," Ammons, now a political science professor at FAMU, said. "It was indeed an honor to drape you with this medallion.”Mary Breaux Wright, international president of Zeta Phi Beta Sorority – Mangum's sorority – gave one of the......

Words: 367 - Pages: 2

Philosophy 3100 Term Paper

...my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt hole… Lick my butt......

Words: 317 - Pages: 2

Butt Nuggets in Terminal Procedual Conteracts

...Chapter Summary GEORGE W. BUSH'S WAR PRESIDENCY George W. Bush's presidency had an inauspicious beginning. He took office following a disputed election, where he won by a razor-thin margin in the Electoral College only after Supreme Court intervention; and even lost the popular vote to Al Gore, becoming the first President since 1889 to assume the presidency under such circumstances. He appeared to have no mandate to govern, and faced a divided Congress and nation with weak legitimacy. To make matters worse, early administration actions on environmental and social issues were controversial, his bumbling style as a speaker became the target for jokes, the Senate switched hands to the Democrats when moderate Republican Sen. James Jeffords quit his party, the economy slipped into recession, and Bush's popularity began to fall. All this changed dramatically after the September 11, 2001 terrorist attacks on the U.S.A. With great skill and determination, Bush rallied the nation together, taking swift action against perceived terrorist threats, building an international coalition against terrorism, and taking the war to the perpetrators of the acts in Afghanistan. His job approval ratings soared to record levels, and he gained new respect from leaders and the public. The opening vignette thus illustrates how external events influence the presidential office. Especially during times of war and national crisis, the natural capacities of the institution are enhanced, as the...

Words: 2712 - Pages: 11

Flash Butt Welding Report

...SCHEDULING FRAMEWORK FOR TRACK LINKING IN RAILWAY PROJECTS First Review Report By Andrew George Cherian Under the guidance of Dr. Koshy Varghese Building Technology and Construction Management Department of Civil Engineering Indian Institute of Technology, Madras October 2015 TABLE OF CONTENTS Contents 1. INTRODUCTION 4 2. PROBLEM STATEMENT 4 3. OBJECTIVE 5 4. SCOPE OF WORK 5 5. METHODOLOGY 6 6. LITERATURE REVIEW 7 7. PILOT STUDY 8 7.1 RAIL WELDING 8 7.1.1 FLASH BUTT WELDING MACHINE 8 7.2 PRE-REQUISITES FOR LAYING THE TRACK 9 8. PROBLEM VALIDATION 12 9. ISSUE IDENTIFICATION 13 10. PROJECT TIMELINE 16 11. REFERENCE 16 TABLE OF FIGURES Fig1. Methodology Flowchart 6 Fig 2. Sequence of activities 10 Fig 3. Work Sampling Chart 10 Fig 4. Idle time distribution 11 Fig 5. Snapshot of planning assumptions 12 Fig 6. DPR for welding for a typical month 13 Fig 7. Snapshot of Internal Hire Charges 15 Fig 8. Project Timeline 16 1. INTRODUCTION Railway track construction started in India in 1859, with first operational line between Mumbai and Thane. It is the most critical transportation system of the country for passengers and goods. Spread of the railway track across any country is a key indicator of infrastructure and economy of a country. As of 2014-2015 India has a spread of more than 65000 route km of railway track (Indian Railways,2015). A typical railway construction project involves the construction......

Words: 2726 - Pages: 11

Why Nike Kicks Butt in Sustainability

...instruction at the authors institution and sharing with colleagues. Other uses, including reproduction and distribution, or selling or licensing copies, or posting to personal, institutional or third party websites are prohibited. In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier’s archiving and manuscript policies are encouraged to visit: http://www.elsevier.com/copyright Author's personal copy Organizational Dynamics (2010) 39, 353—356 a v a i l a b l e a t w w w. s c i e n c e d i r e c t . c o m journal homepage: www.elsevier.com/locate/orgdyn Why Nike kicks butt in sustainability Marc J. Epstein, Adriana Rejc Buhovac, Kristi Yuthas Nike Inc. has a unique combination of capabilities and competencies that position the company as a leader in sustainability. Nike is among the world’s most prominent sustainable corporations, and is regularly recognized by organizations that rank sustainable performance. For example, Nike has been named one of 100 most sustainable corporations in the world by Innovest, ranked third in Corporate Responsibility Officers 100 Best Corporate Citizens list, and named one of the World’s Top Sustainable Stocks by Sustainable Business. Nike possesses a unique combination of strengths and capabilities that enable the company to make rapid advancements in......

Words: 3022 - Pages: 13

Butt

...Six Reading Myths ©Academic Skills Center, Dartmouth College 2001 MYTH 1: I HAVE TO READ EVERY WORD Many of the words used in writing grammatically correct sentences actually convey no meaning. If, in reading, you exert as much effort in conceptualizing these meaningless words as you do important ones, you limit not only your reading speed but your comprehension as well. MYTH 2: READING ONCE IS ENOUGH Skim once as rapidly as possible to determine the main idea and to identify those parts that need careful reading. Reread more carefully to plug the gaps in your knowledge. Many college students fell that something must be wrong with their brain power if they must read a textbook chapter more than once. To be sure, there are students for whom one exposure to an idea in a basic course is enough, but they either have read extensively or have an excellent background or a high degree of interest in the subject. For most students in most subjects, reading once is not enough. However, this is not to imply that an unthinking Pavlovian-like rereading is necessary to understand and retain materials. Many students automatically regress or reread doggedly with a self-punishing attitude. ("I didn't get a thing out of that paragraph the first time, so if I punish myself by rereading it maybe I will this time.") This is the hardest way to do it. Good reading is selective reading. It involves selecting those sections that are relevant to your purpose in......

Words: 1489 - Pages: 6

Butts

...Nate Robinson Professor Kinley EET-115 Lab 4 Write Up October 9, 2014 Part 1 In part 1 of the lab, I constructed this circuit on my protoboard. Once I had the circuit set up correctly, I set up a truth table showing the inputs and output for the designated inputs. Shown here is the truth table: D | C | B | A | X | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | To figure out what the output would be (X) I had to Demorganize the circuit equation to make it simpler to work with. When I simplified the equation, I ended up with an equation the represented a 3-input OR gate. In order to test and make sure that this was valid, I checked the logic level of the output with my logic probe. Based on the truth table, we can conclude that as long as one of the inputs is a logic level 1, the output will also be a logic level 1. Part 2 In part 2 of the lab, I constructed an additional circuit on my protoboard that looked like this: Once this circuit was constructed, I Connected the Function Generator to input A, and Connect CH1 of the Oscilloscope to input A and CH2 to the Output. Then, I set the function generator for a 1KHz square wave. Once that was done, I......

Words: 474 - Pages: 2

Mr Butt

...Division of Business | Course: HND Level 5 Business (management) | Year: 2015/16 | Student Name: | UNIT 03: Organisations and Behavior | Lecturers Name: Dr O. Shittu | Date Issued: 25th of April 2016 | Completion Date: 20th of July 2016 | Fail Pass Merit Distinction P11.1 | P21.2 | P31.3 | P41.4 | P52.1 | P62.2 | P72.3 | P82.4 | P93.1 | P103.2 | P113.3 | P123.4 | P134.1 | P144.2 | P154.3 | P164.4 | M1 | M2 | M3 | D1 | D2 | D3 | | Learning Outcomes: 1 Understand the relationship between organisational structure and culture 2 Understand different approaches to management and leadership 3 Understand ways of using motivational theories in organisations 4 Understand mechanisms for developing effective teamwork in organisations. Comments:Assessor’s Signature:______________ Referred Date:______________ | Late: Yes No | Internal Verification: Yes No | I declare that the work I am submitting for assessment contains no sections in copied in whole or part from any other source, unless it is explicitly identified by means of quotation mark or by means of wholly indented paragraphs. I declare that I have also acknowledged such quotations by providing detailed references in an approved format. I understand that unidentified and un-referenced copying both constitutes plagiarism which is an offence. I give my consent for my......

Words: 1722 - Pages: 7

Normal Day by Enjoy Fahrzeugfolierung #23 (JP´s Nissan GTR-R35) | Addtoany | Imbattibile (2006)