Discussion on The real-life application of Pre-Calculus

Compose a 250 words assignment on week 11 question. Needs to be plagiarism free! The real-life application of Pre-Calculus Pre-Calculus is an important that covers areas such as exponents, algebra and logarithms. One of the areas where this course can be applied in real life is the use of differentiation in calculating the maximum or minimum volume of a container, say a box. For example, differentiation can be used to calculate the maximum volume of an open ended box that can be cut from a square plastic piece measuring 20M by 20M.

Assuming the height of the intended box is h, with length l and width w, then volume of the box can be given by:

But length and width can be expressed as and

The volume becomes:

The maximum value of h lies 0 ≤&nbsp.h&nbsp.≤ 10

In order to get the maximum value of h, the expression above can be differentiated to get

Dividing through by 4 yields

Using the quadratic formula

or . but is outside the open interval (0, 10)

The most ideal value of h thus becomes

The maximum height of the box will be 3.333M, and the width and length will be 13.333M each. The maximum volume will thus be (13.33313.333592.58M3

This is a real life example of how pre-calculus can be applied. In this example, this approach can help maximize profits and minimize waste.

After studying this course, the most important piece of knowledge I am taking away is algebra and how it is applied. Throughout the course, algebraic expressions have been used to describe various phenomena. These expressions are important when dealing with real life problems. This knowledge is critical for understanding future mathematical concepts beyond pre-calculus.

Discuss Benefits of Hodges University.

Provide a 5 pages analysis while answering the following question: Benefits of Hodges University. Prepare this assignment according to the guidelines found in the APA Style Guide. An abstract is required. Communication can be defined as the process of transmitting ideas verbally, nonverbally, and through the use of technology. Communication is very important, particularly for those who are aspiring to build a career in the field of education. In the course of my studies at the University, I learned the ways and significance of organizing thoughts. Communication must involve description, examples, reasons, and/or research to support assertions. Otherwise, the audience may be misled, which can be extremely dangerous in the teaching profession. Appropriate sentence structure and word selection are crucial since these linguistic skills would ultimately help me to express my ideas and interpretations. Also, the training imparted on using the software tools, electronic media, etc. would help me to increase interactivity during communication, especially while delivering a speech or writing an essay.

Critical thinking involves thoughtful judgment, reflective decision making, application of reasons, and drawing conclusions. Analysis and logic are the pillars of critical thinking. The University curriculum provided me with crucial articulation skills and knowledge in search strategies. It also helped me to learn how to interpret and analyze relationships, concepts, and facts on the basis of evidence and data. I learned how to clarify that whether I support, oppose, or remain neutral regarding a topic or belief. Also, I learned how to consider different viewpoints in the course of eliminating contradictions.

competitiveness in the global environment.

Write a 5 pages paper on competitiveness in the global environment.

Leadership ensures flexibility and creates room for adjusting to varying cultures and markets by keeping a global perspective through continual learning. Organizational structures are also adjusted to meet the needs of the stakeholders such as clients and partners (Dignam, & Galanis, 2009).Managing the diversity in the workplaceLeadership ensures the existence of a balance among the methods required to manage different generations and categories of people effectively. It also measures staff performance by considering outputs so that the expectations of the stakeholders are met (Dignam, & Galanis, 2009).

This entails understanding behavioral diversity so that approaches to handling individuals are more creative and diverse.Responding to changing timesTechnological, environmental, and business changes that occur globally require leaders to be dynamic and up-to-date with such information so that obsolescence of ideas and methods of operation does not arise. As new ideas, policies, and practices come, new and innovative approaches should be considered by leaders to meet the demands of the stakeholders (Dignam & Galanis, 2009).

Becoming globally competitiveCompetition is a perpetual practice that requires sound decisions and strategies such as risk-taking for an organization to remain relevant in the global frontier (Blum & Wey, 2008). Organizations compete for clients, resources, technology, and space. With sound and best leadership practices, stakeholders’ needs are met by implementing modern policies and strategies that can compete favorably in the global space.Remaining visionaryAccording to Blum and Wey (2008), every organization has a vision enshrined in its goals and objectives and the stakeholders aim at realizing such dreams.

With good leadership practices such as staying focused, an organization can realize its vision if the leaders act in the interest of the stakeholders by embracing a consultative leadership approach.How globalization influences the selection of leadership practices and ultimately the sustainability of the organization.

Week 3 Quiz

I need an “A” so please do not respond if you can’t do it. I need it by 2pm on 12/16/18.QUESTION 11. The critical treatment for Separation Anxiety Disorder is to develop:A.A plan of indulgence in the child’s fear until   the anxiety decreasesB.A plan to give the child a candy every time they   don’t cryC.A plan for leaving the child in as secure a   manner as possible and actually having the caretaker separate from the child   as soon as possibleD.A plan to leave the child alone in their room   while the parent goes in the other room, watch with a monitorE.A plan to never leave the child alone, ever again1 pointsQUESTION 21. All of the following are reasons to include the family in counseling a child experiencing anxiety related issues, EXCEPT:A.Separation Anxiety Disorder is found more   frequently among children of mothers with Panic DisorderB.Studies have indicated that parents, particularly   mothers, can contribute to their child’s anxiety symptoms by expecting   anxious and avoidant behaviorsC.When parents are involved in the treatment of   their child, reductions in anxiety symptoms are often evidentD.Obsessive-compulsive and Agoraphobic symptoms   have been lowered when expressed family anger and stress have been reducedE.Including parents in counseling is always   beneficial even if the counselor is not trained in family counseling1 pointsQUESTION 31. What is the estimated prevalence of anxiety disorders among children?A.0 to 3%B.3 to 5%C.5 to 18%D.20 to 23%E.24 to 28%1 pointsQUESTION 41. Which of the following statements is true?A.There have been major changes to the anxiety   disorders that will impact the diagnosis of children and adolescents.B.We don’t know the major changes to the anxiety   disorders classification for clients under 18 years old.C.Within the anxiety disorders, the primary change   that will impact clients under 18 years old has been the re-grouping of   disorders to more accurately reflect associations in diagnostic   criteria.D.There has been no change to the DSM-5 with regard   to anxiety disorders that will impact clients under 18 years old.E.The DSM-IV-TR should be used for anxiety   disorders and not the DSM-5.1 pointsQUESTION 51. The following might increase the risk for developing an anxiety disorder in childhood or adolescence:A.Adolescents with a positive parental history for   panic disorder or agoraphobia have an approximately 25% chance of   experiencing panic attacksB.Prenatal stressorsC.A onlyD.B onlyE.A and B1 pointsQUESTION 61. Which of the following statements is true with respect to the DSM-5 and anxiety disorders?A.Anxiety disorders include obsessive-compulsive   disorders and no changes have been made from the DSM-IV-TRB.Anxiety disorders appear in two sections of the   DSM-5C.Anxiety disorders can no longer be diagnosed in   children under the age of 10 years oldD.Anxiety disorders no longer include   obsessive-compulsive disorders, which are now their own classification   (obsessive-compulsive and related disorders)E.It depends on the context which DSM version you   should use1 pointsQUESTION 71. The DSM-5 recognizes differences in presentation and diagnostic criteria of disorders characterized by obsessions and/or compulsions.TrueFalse1 pointsQUESTION 81. Specific phobias in children are generally treated with a combination ofA.Play therapy and medicationB.Family counseling and play therapyC.Medication and cognitive interventionsD.Behavioral and cognitive interventionsE.Gestalt counseling and family counseling1 pointsQUESTION 91. Hoarding Disorder is new to the DSM-5 and this diagnosis is marked by significant difficulty discarding or otherwise parting with possessions.TrueFalse1 pointsQUESTION 101. A counselor should consider multicultural aspects when arriving at an anxiety diagnosis for a child and should consider all of the following EXCEPT:A.Fears of magicB.Behaviors that exceed the cultural normC.Fears of spiritsD.Religious practiceE.Cultural interpretation1 pointsQUESTION 111. Body Dysmorphic Disorder, in the DSM-5, was moved and several criteria were altered, including specifications for repetitive behavior and preoccupied thoughts.TrueFalse1 pointsQUESTION 121. The following are also separated from the DSM-5 Anxiety disorders:A.Excessive coughing disorder and separation   anxiety (now included in the classification of parent induced and related   disorders)B.Posttraumatic stress disorder and acute stress   disorder (now included in the classification of trauma and stressor related   disorders)C.Posttraumatic stress disorder and adjustment   disorder (now included in the classification of trauma and stressor related   disorders)D.Excessive crying disorder and separation anxiety   (now included in the classification of parent induced and related disorders)E.Excessive crying disorder and specific phobia   (now included in the classification of parent induced and related disorders)