Stewart’s Calculus 8th Edition, Section 1.1, Question 3

Stewart’s Calculus 8th Edition, Section 1.1, Question 3 SAT / ACT Prep Online Guides and Tips This posts contains aTeaching Explanation. You can buyCalculus by Stewarthere. Why You Should Trust Me:I’m Dr. Fred Zhang, and I have a bachelor’s degree in math from Harvard. I’ve racked up hundreds and hundreds of hours of experienceworking withstudents from 5thgradethroughgraduate school, and I’m passionate about teaching. I’ve read the whole chapter of the text beforehand and spent a good amount of time thinking about what the best explanation is and what sort of solutions I would have wanted to see in the problem sets I assigned myself when I taught. Question:The graph of a function f is given.Page in 8th Edition: 19 Short Answers: f(1) = 3 f(-1) ~ -.3 f(x)=1 for x = 0 or 3 f(x)=0 for approximately x=-0.6 The domain of x are real numbers between -2 and 4 (or [-2,4], and the range are real numbers between -1 and 3, or [-1,3]. f is increasing on the interval [-2,1) Homework Answer:Same as Short Answers. Motivated Answers: The question is giving you the graph of the function f. This means that to figure out what f(x) is, we need to look at the y-value of the graph at x. To figure out f(1), we can take put a ruler vertically (up down) on the graph when x=1 and see how high the graph is, which is the same thing as the y-value of the graph. We can count boxes on the graph paper to see the y-value is 3. Just like a), we put a ruler vertically at x=-1, and the graph seems to show a y-value of about -.3 (it could be -0.2 or -0.5, but that’s our best guess by eyeballing it). This means f(-1)~-0.3 The question wants us to find all values of x where f(x)=1. Since 1 is the output of f, and the output means to y-values, we can take a ruler, put it horizontally at 1, and look at where the ruler hits the graph. We see the rule hits the graph two times, once when x is 0, and another time when x = 3. We do the same thing as c), but put the ruler horizontally at 0, which happens to be the x-axis. The graph hits the ruler at x=-.6 approximately. You have to find the domain and range of f. The domain of any function is all valid inputs, or stated the same way, all valid x-values. We can see from the graph that the graph spans the x-range of -2 though 4 (we can count boxes). To write this in interval notation, we write the range is [-2,4]. We use solid brackets here because the graph seems to include the endpoints.The range of f is all valid outputs of f. Stated the same way, these are all valid y-values of the graph. We can see the graph spans the y-range of -1 through 3, or [-1,3]. If you look at the graph you can see that f seems to be increasing throughout the first part of it, from x-values of -2 to 1. Writing this in interval notation, we get [-2,1). We use a parenthesis ) instead of bracket ] because at the point 1, the function is no longer increasing. Video Solution: Get full textbook solutions for just $5/month. PrepScholar Solutions has step-by-step solutions that teach you critical concepts and help you ace your tests. With 1000+ top texts for math, science, physics, engineering, economics, and more, we cover all popular courses in the country, including Stewart's Calculus. Try a 7-day free trial to check it out.

Impact of Child Abuse essays

Impact of Child Abuse essays The impact of abuse reaches all levels of a childs emotions. The two most common emotions are confusion and guilt. Confusion is usually the initial reaction of the child. They will usually wonder what is going on or if this is right or wrong. For a young child these types of questions can be a huge burden on their physcological development. Once the abuse begins the victim experience a tremnedous conflict with their emotions. They feel pleasant due to the attention they are recieving from the parent, as well as the sensual pleasure. On the other hand they experience pain, guilt, and anger for what is being done to them. The questionif this is right or wrong is the greatest conflict within the childs mind. The abuse feels so wrong yet the abuser insits it's okay, taking advantage of the childs mistrust and naivety. Below are the thoughts of an abused victim as she thinks back to her abuse and questions her father. It is an example of this mistrust as well as the confusion which goes through a childs mind. "Since I was a little ten-year-old child, I had to deceive and hide from the world and my mother that my father took a sexual interest in me. Remember how you taught me that art of deceit? First you put me in a situation that had to be kept a secret then you pledged me to secrecy...As a ten- year-old child, what was I supposed to do? You are an intelligent man-you figure out the options available to a ten-year-old in that position." (Dolan 58) Guilt is also a huge emotional trip for the child. The abused will feel tremendous guilt for a numerous reasons: they feel they did nothing to stop the abuse therefore they are responsible and it should continue, they felt uncomfortable but the abuse was sometimes pleasureable, or they somehow deserved and/or caused the abuse. A victim will usually feel this way when their self-esteem has diminshed and they have no more answers for what is happenning. The following quote illustrates that...

Diabeties In Native Americans Essays - Diabetes, Endocrine System

Diabeties In Native Americans Essays - Diabetes, Endocrine System Diabeties In Native Americans Scott Johnson English 101 / 1314 Mrs. Wendalll 14 February, 2000 Diabetes in Native Americans The Native American way of life has certainly changed over the course of the last one hundred years. What used to be a very strong presence on the American frontier is now a humbled group of people pushed onto ground that nobody else wanted. Along with this change came diabetes, which now affects more than sixty percent of the Pima Indians in Arizona and fifty-seven percent of the Aberdeen area of the Indian Health Service (which includes North and South Dakota, Iowa and Nebraska)(Sandrick 42). Native Americans did not have a problem with this affliction until this century. Due to a sudden change in diet and lifestyle, Native Americans have experienced a sharp and sudden rise in diabetes. When the Native Americans were forced onto reservations they stopped hunting and preparing their own food. Instead the U. S. Government gave them food that their bodies were not used to digesting. Indians were not used to eating flour, lard, canned meats and poultry that are swimming in fat, and canned fruits and vegetables packed in sugary syrup (Sandrick 42). They had survived mainly on vegetables and lean buffalo meat that was prepared in a way that many generations before them had done. These foods had kept their bodies with sufficient nutrients for their daily routines and way of life. Their bodies could not handle the extra fat and sugar in their diet. This, coupled with a decrease in intense exercise increased obesity, and brought on the rise of diabetes. The sudden lack of exercise resulted in a large weight increase in the Native American community. Indians were used to roaming the countryside. They had to follow the buffalo or move to warmer weather. Now, they were put into permanent homes and handed their food. This created an overweight, obese group of people. When most of us think of the Great Indians of the last century, we think of a thin, well-defined figure standing stern and serious. When we think of a modern Indian, we have an image of a larger, more rounded type of person. A rounded, non-chiseled face has replaced the classic Indian, high cheekbone, profile. This makes it harder for their bodies to keep blood sugars at a normal level. The result is Type II diabetes. Native Americans most commonly get Type II diabetes. Type II diabetes is not as serious as Type I, but still has serious affects if not properly attended. Some complications include blindness, amputation, stroke, and early heart attack. With Type II diabetes, most of these side effects can be handled with a change in diet and a doctor approved exercise routine (Nash 52), but there is still a steady rise in the number of Indians being diagnosed with diabetes each year. Most (Native Americans) dont have access to what you and I would consider healthy foodgreen vegetables and fresh fruit, says DeCora, who founded the Porcupine Clinic on the Pine Ridge Reservation 16 years ago (Sandrick 42). Native Americans need to learn to prepare and eat different foods in order to eliminate this problem. They need to learn to adapt to their new situation in order to survive. The sudden and recent change in the Native American way of life has prompted many problems. The most serious problem is diabetes. Through education of the disease, and strict dietary and exercise routines the problem can be controlled. American Indians need to take these steps to make sure their culture is preserved. Nobody can change what has happened to the Native Americans in the past, but they can change what will happen to them in the future.

Busines Management Essay Example | Topics and Well Written Essays - 1500 words

Busines Management - Essay Example Although Royal Mail is a private company but it enjoys certain special benefits provided by the government to shield it from growing competition. Such protection played an important role in downfall of the company. The decision taken by the company regarding modernisation and automation can result to job cut of more than 60, 000 employees. In respond to this, Communication Workers Union (CWU) asked the workers to go for a strike till the matter is sought out. Such strikes are not in the UK postal industry, many strikes has taken place in past which are equally responsible for the poor condition of UK postal industry. If the management of Royal Mail want to settle the prevailing unrest, they have to understand implement Strategic Human Resource Management (SHRM). Strategic Human Resource Management brings integration between corporate strategy and HR practices of the company. Such linkage assists the company to achieve its organisational goals in the best possible way (Devine, S. K. 1992). For any organisation its human resource is the biggest asset and it needs proper management so that it can act as strategic partner and the company can gets benefited in the long term (Lawler, et. al., 2006, p. 1-2). For application of SHRM, a proper hierarchy has to followed, like it must start with a basic legal compliance, then it should be followed by efficient HR processes, then setting of effective HRM Programs and alignment of these with the strategic goals of the organization. All these should follow a pyramidal structure (Office of Merit Systems Oversight and Effectiveness, n.d., p. 1). PEST analysis helps the management to understand the prevailing market condition and to set the appropriate strategies. The four elements to PEST analysis are Political scenario, Economical state, Social condition and Technological sectors. Political scenario- politically the country is conservative and its legal system is based on

Personal review of the 6-hour TV series The Day the World Took Off Essay

Personal review of the 6-hour TV series The Day the World Took Off (2000) - Essay Example The commentators espouse all these routes, where it all began, the moments when the world took off. Through the perspective of the commentators, this six-hour series accounts for the provisions and the long-term history that led to the unending social, economic, political and intellectual developments, which have literally shaped the differential development of the modern world. First, the commentators in the series bring history to life for the general audience in their fascinating cross-examinations of laid down modernizations of former years. In their own capacity, the commentators have succinctly supplemented the long read philosophy in the books by helping make this bold step seems like yesterday’s thinking. It is a series, which create originality to the developers of today’s modernization, and helps make everything feasible. It helps to trace the path to our current global status in terms of industrialization and the spillover benefits we enjoy because of the for mer groundbreaking work (Diamond, Jared and James 102). There are plenty of bracing surprises in this series. The commentators raise the familiar odysseys to the growth of manufacture in Britain. According to their perspective, this was one of the areas that ascribe to the rationale behind the name, The Day the World took Off. However, it is the sprout of the extensive and exploring multi-purpose railway network that evokes truly new insights and the intricate details of the era. When the commentators repeatedly chant that this period was the ‘root’ of the revolution, they give the exact tone of the times. They bring the intensity of the involvement, the energy, and the fore-sightedness that the pioneers took time to mould. For example, when they pinpoint the extract from Liverpool Mercury, exposing how the then local M.P, William Huskisson becomes the first casualty of the revolution (Diamond, Jared and James

INTERCULTURAL Essay Example | Topics and Well Written Essays - 750 words

INTERCULTURAL - Essay Example Rules of Social Interaction The rules of interaction among the deaf include maintaining eye contact in order for effective communication. The deaf usually use attention getting mechanisms such as turning the lights on and off, stamping on the floor, tapping on the shoulder, or waving. It is important to hug when greeting or leaving. Pointing to give direction is polite among the deaf. It is important to touch during communication. It is also not important to say â€Å"excuse me† when passing between people using the sign language (Lane, 2005). Language The deaf usually communicate using the sign language. This is a visual-gesture language. It encompasses movement, placement, and expression of body and language. Sign language represents the language among the deaf community. This is a complete language that is able to express humor, emotion, and abstract thoughts. The language has its own language principles and grammatical structure. Whiteness Culture Whiteness culture treats those of the white color as more superior than the others. Racism lies at the heart of that culture. Segregation and discrimination is common among the people of this culture (Warren, 1999). This is normally towards the people who are not of the white origin. Those who ascribe to the whiteness culture do not freely inter mingle with those of other races. They greatly value their race and language. They have racial pride and see others as underdogs. They are conservative and do not freely interact with people of other races. They believe that they should not attend similar institutions as other races. This has led many people especially in America to be discriminated. However, with the advancement of the human rights all races are seen to be equal. Therefore, they are entitled to similar rights and privileges. This culture is slowly fading in America and all citizens are seen as Americans and not as white, Mexican or black. They attend similar institutions where there is free inter r acial interaction. Language Most of the people who subscribe to this culture use a variety of languages in communication; the main ones include English, Germany, Spanish and French. Chinese Culture While there are differences in terms of economic, social and political dimensions between different people of Chinese origin, there are certain core cultural values that are common to all Chinese people. These values are unique and consistently held together by several years and similar language. There is only a single set of core values in China that distinguish their culture from western cultures and Eastern cultures. The Chinese culture has three major element; communist ideology, western values and traditional culture. The traditional culture is diverse and includes several schools of thought such as Buddhism, Taoism, Confucianism, and religious cultures (Fan, 2000). Confucianism forms the foundation of the Chinese tradition. In this case rules are outlined of the social behavior of e ach individual, governing all the interactions in the society. There are five virtues outlined here faithfulness, propriety, righteousness, humanity and wisdom. There are several values and rules of interaction in Chinese culture. Some of them include bearing hardship, governing should be done by leaders rather than the law, egalitarianism /equality, people being naturally good, veneration for the old in the

Renewable Energy Essay Example | Topics and Well Written Essays - 3000 words

Renewable Energy - Essay Example 0.4502 0.0162 7 0.3919 0.0156 8 0.4226 0.0156 9 0.4172 0.0171 10 0.4081 0.0177 11 0.4000 0.0194 12 0.3946 0.0206 13 0.3634 0.0236 14 0.3347 0.0275 15 0.3547 0.0251 16 0.3493 0.0247 17 0.2814 0.0354 18 0.3028 0.0277 19 0.3727 0.0329 20 0.3095 0.0487 21 0.3237 0.0400 22 0.3279 0.0550 The corresponding graph was drawn. 0.70.60.50.40.3 0.20.1 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 (Ti-Ta)/GT From the chart, FR ()=intercept=0.4912. (49.12%) FR UL=Slope=(4.912/(-8.236))=0.596 2. Assess the suitability of the most appropriately oriented part of your roof for installing a solar water heater. How will this affect the performance of the proposed solar water heaters (If you live in an apartment with a flat roof I guess you'll have to pretend that you live on the top floor!) Would there be any practical limitations to the installation of a SWH system. On the roof, the best part would be dependent on two factors: first, it has to be near or at the center part of the roof so that more amount of sunlight falls on the SWH for a longer period of time (from dawn to dusk). Second, it has to be at a requisite to keep it out of reach from children. The limitations in any case would be the amount of open space that can be found on the roof and whether that open space is well lit by sunlight for most part of the day. Also the cost of maintaining and... ) Would there be any practical limitations to the installation of a SWH system. On the roof, the best part would be dependent on two factors: first, it has to be near or at the center part of the roof so that more amount of sunlight falls on the SWH for a longer period of time (from dawn to dusk). Second, it has to be at a requisite to keep it out of reach from children. The limitations in any case would be the amount of open space that can be found on the roof and whether that open space is well lit by sunlight for most part of the day. Also the cost of maintaining and the safety measures adopted play a critical role in the successful and efficient role of the SWH system. 3. Using your own house as an example estimate how much hot water your family consumes each year. (As a rough estimate determine how many showers, baths, and basins of hot water are used per week and make a pro-rata calculation for the annual hot water consumption. Remember that most hot water used would be mixed with the cold water. It's not important to be 100% accurate but this will give you an idea of the magnitude of the hot water usage. Average European hot water usage is currently in the range of 15-35 liters of hot water per person per day depending on if you shower or bath!) 4.