Please select “True.” (Question omitted.)

Consider the following approximations for the first derivative: (forward difference formula}) (center difference formula) In class, we learned how the truncation and round-off errors for the center difference formula are proportional to h2 and , respectively [assume machine precision is ]. Minimizing the total error, yields an optimal step size . (a) The truncation and round-off errors for the forward difference formula are proportional to h and , respectively. Minimize the total error to find the optimal step size . Hint: < . [10 points] (b) Evaluate the derivative of at x = 1 using the two formulae with their respective optimal step sizes. Which formula is more more accurate? The true derivative is e. [5 points]

The medical model proposes that it is useful to think of abnormal behaviour as a disease. … However, in recent decades, … some critics are troubled because medical diagnoses of abnormal behaviour pin potentially derogatory labels on people (Hinshaw, 2007).(Source: Psychology. Themes and variations. By Wayne Weiten. 10th edition. 2017. Boston, USA. Cengage Learning.Chapter 14 Psychological disorders. Page 492)What are some of the derogatory labels we give to people who behave abnormally?

What would be the most logical arrangement of the following sentences in a paragraph? Choose the correct option.Recent findings also indicate the potential for the use of traditional remedies for the management of diabetes.Studies show that culturally appropriate treatment can assist with the treatment of mental illness.Plants used by the traditional healers in South Africa to treat mental illnesses (epilepsy, depression, age-related dementia and debilitative mental disorders) are shown to have profound neurochemical effects.(Source: Health Intelligence magazine. Mar/Apr 2015, Issue 32. Article titled “Which doctor?” by B. Hirschmann. Page 39)

What is the main idea in the Extract below?  As always, across the world, the most vulnerable have borne the brunt of this latest health crisis. COVID-19 has simply further highlighted and exacerbated existing inequalities. Redressing health disparities cannot be effectively achieved during times of crisis, but instead requires longer-term sustained action: through policies and interventions that tackle key social determinants. (Taken from an article titled “A stronger and more united Africa?” Written by Marisa Casale, in Africa in Fact, page 17. Issue 55, October-December 2020.)

A close study of the use of noun phrases (highlighted) in the Extract below provides a quick summary of what the focus of the description is. What is the focus? When we think of OR [Oliver Tambo] what comes to mind is the most gentle soul, with the most tiger-like spirit; the kindest heart, with the fiercest determination; the most compassionate nature, with the strongest moral compass; the warmest, sweetest personality, with an unflinching dedication to honesty; the most loving, peaceful temperament, with the sharpest sense of conscience; the most beautiful smile, with a resolve to accept only absolute integrity; the most noble, patient, calm presence, with the most tenacious fervor for bold, uncompromising action; and the most brilliant intellect, with the most earnest, sincere appreciation for the simplest contribution. (Taken from the book titled Oliver Tambo remembered, edited by Z Pallo Jordan. Memoir by Nadine Hack and Jerry Dunfey, titled “Irresistable, inspirational and deeply loved”. Section with the heading: Friends and neighbours in the UK. Page 3. Johannesburg: Macmillan.)

Modern societies are thought to create a toxic, “obesogenic” environment for eating. Unfortunately, the rise of this obesogenic environment has been paralleled by a significant decline in physical activity (Corsica & Perri, 2012).(Source: Psychology. Themes and variations. By Wayne Weiten. 10th edition. 2017. Boston, USA. Cengage Learning.Chapter 9 Motivation and emotion. Page 311)The term obesogenic has been formed by combining forms, namely OBESO+GENIC. What does this mean?

According to the passage, patients are often unable to give a proper account of their ailment to the doctor because_________.

South African study finds high risk of TB infection in kids Chris Dall, MA November 6, 2024 Tuberculosis Alissa Eckert, James Archer / CDC A prospective birth cohort study conducted in South Africa found that children who grow up in a setting where tuberculosis (TB) transmission is common have a high risk of TB infection and disease, with up to 10% developing the disease by age 10, researchers reported yesterday in The Lancet Child & Adolescent Health. Although 1.2 million children globally develop TB disease every year, and roughly 200,000 die from it, few studies have investigated the risk of developing TB during childhood, particularly in high-burden countries like South Africa. Approximately 15% to 20% of all TB cases in South Africa, which has one of the highest TB incidence rates in the world, are likely to occur in children. To assess the risk, researchers from the Boston University School of Public Health (BUSPH), the University of Cape Town, and the University of Sao Paulo followed 1,137 women and their 1,143 children who were living near Cape Town from 2012 through 2023 and were enrolled in the Drakenstein Child Health Study, a cohort study of children born in a setting with high TB and HIV burdens. A previous study of this cohort found high rates of tuberculin skin test conversion (presumptive evidence of TB infection) and TB disease in the first 5 years of life. For this study, the researchers extended their work to examine the children through the first 10 years of life. They tested the children for Mycobacterium tuberculosis infection and TB disease using tuberculin skin tests at 6 months and 12 months of age, then annually in children with a negative test.  “To the best of our knowledge, this is the first birth cohort study to prospectively investigate M tuberculosis infection and tuberculosis disease in the first decade of life in an area with a high tuberculosis burden,” the study authors wrote. An urgent health problem Over the follow-up period, the annual risk of tuberculin skin test conversion was 6.6 per 100 person-years, ranging from 4.4 to 9.3, with the greatest annual risk occurring at 1 year (9.3%) and 8 years (8.9%). The cumulative hazard of tuberculin skin test conversion was 36% at age 8 years, and the cumulative hazard of TB disease was 10% at age 10.  “These results are striking and show that children in these communities in South Africa are at extraordinarily high risk,” study co-senior author Leonardo Martinez, PhD, MPH, assistant professor of epidemiology at BUSPH, said in a university press release. “It’s clearly an urgent health problem with both short and long-term impacts on these children and their families.” Among the risk factors associated with tuberculin skin test conversion were household cigarette smoke exposure (adjusted hazard ratio [aHR], 1.7; 95% confidence interval [CI], 1.2 to 2.5), households with more than five people (aHR, 1.3; 95% CI, 1.1 to 1.7), and known exposure to an individual with TB (aHR, 1.2; 95% CI, 1.0 to 1.6). These results are striking and show that children in these communities in South Africa are at extraordinarily high risk. Preventive treatment was associated with a reduction in TB disease among children who had tuberculin skin test conversion (aHR, 0.23; 95% CI, 0.12 to 0.47). However, most cases of TB disease (78 of 98; 79%) occurred among children who had tuberculin skin test conversion but were not administered preventive treatment. “This highlights an important challenge in tuberculosis programmes where provision of preventive treatment is of low priority,” the authors write. Martinez and his colleagues say children who develop TB disease are at risk for poor outcomes in young adulthood and later life and that follow-up on this cohort to understand their long-term health trajectories is an important next step. They also call for a multipronged approach to decrease pediatric TB in high-burden settings that combines preventive treatment for children at risk, active case finding, and reduction of community TB transmission. Read the extract below and answer the question: A prospective birth cohort study conducted in South Africa found that children who grow up in a setting where tuberculosis (TB) transmission is common have a high risk of TB infection and disease… What do you understand by birth cohort? Choose the most appropriate option below:

Snakes, monitor or rock monitor lizards and sometimes even the odd crocodile are prevalent in the city [Pretoria; Tswhane]. “Most snakes we encounter are harmless. They’re mostly brown house snakes. … The snake won’t harm you if you just leave it alone. The weather, like rain … plays a role…. They often seek shelter and might by accident go into your yard to look for a warm and dry place to stay. … We need to consider the effects of urbanization on snakes’ natural habitat.What is the best summary of the  Extract?