Hello, I have a question about the heat equation with Non-homogeneous Boundary Conditions in Differential Equations. u_t = 4u_xx u(0, t) = 2 u_x(3, t) = 0 u(x, 0) = x. If available, could you explain the solution in detail? Thank you.

Regarding body temperature, what would you have expected to see/ record? Was this the case? your recorded results of two mechanisms that explain the phenomenon of body temperature - which one were they? So how does the body actually use these to maintain constant body temperature?

1. Assumptions:

• Your class consists of 30 students and each has a tablet OR a Smartphone.

• You have high speed internet connection OR 3G connection.

2. Select a topic that you intend to teach which can be on science, social science, a hobby, self-improvement and any others.

3. Your students – kindergarten or teenagers or college students or adults (such as workers in a particular industry).

4. Design a Lesson Plan using the template below [It is only a guide and you can adapt accordingly]

5. Your lesson should be for 60 minutes. [However, if your students are young children, you may want to break up the lesson to 30 minutes each].

6. The internet tools and content may include are as follows:

• Content from websites, blogs, etc.
• Websites with learning activities
• Video clips
• Audio clips / podcasts
• Pictures / diagrams
• Animations / 3-D images
• Online tests
• Powerpoint slides
• Blogs & discussion forums
• Facebook
• Twitter
• Any other ‘stuff’ available on the internet

[NOTE: Make sure you provide links to these resources and show how you intend to use them]

7. You do not need to provide any references as this paper relates to you designing a product.
8. State in detail in the Lesson Plan what you (Teacher) will be doing and what your Students will be doing during the 60 minutes.
9. Your Lesson Plan should be about 10-11 pages.

The goal of the project is to introduce the process researchers use to design an observational study. Researchers at reputable institutions are required to create a detailed proposal before embarking on an experiment or observational study to an Institutional Review Board (IRB). An IRB is:

a type of committee that applies research ethics by reviewing the methods proposed for research to ensure that they are ethical. Such boards are formally designated to approve (or reject), monitor, and review biomedical and behavioral research involving humans. They often conduct some form of risk-benefit analysis in an attempt to determine whether or not research should be conducted. The purpose of the IRB is to assure that appropriate steps are taken to protect the rights and welfare of humans participating as subjects in a research study. https://en.wikipedia.org/wiki/Institutional_review_board

Ultimately the IRB needs the researcher to show that the experiment or study is useful (it will contribute to the scientific understanding of some process) and relatively safe

Step 1

Articulate a hypothesis to test. Pick something that is interesting to you in an area that you know a lot about. Your study must have human subjects. The hypothesis needs to conform to one of the following methods:

1. two-sample test for mean,

2. two-sample test for proportion,

3. chi-squared goodness of fit test,

4. or chi-squared test of independence.

Don't describe the test with mathematical notation yet. Describe it in several sentences. Explain why your test is interesting and important to you. Outline any ethical considerations and how you would deal with them. Would you need to obtain "informed consent"?

Don't worry about whether you can carry out the test. For instance suppose you want to poll people at your work, don't worry about whether your manager would let you.

Step 2

Specifically identify your populations.

Step 3

Explain your sampling procedure. Make sure to address the following.

1. How will you make sure that the sample is representative?

2. How will you make sure the sample isn't biased?

3.How will you make sure you are sampling the correct people?

4. What sampling method will you use (cluster, stratified, etc.)?

Step 4

Explain what data you will collect and how.

1. What size will your sample need to be?

2. How would you generate a random sample?

3. What will you do with your sample? Will you ask them questions if so what questions? Will you measure the subjects if so what measurements?

Step 5

What method will you use to analyze your study?

1. State in mathematical notation your exact hypothesis.

2. Why is the method you choose appropriately to use?

Step 6

What new knowledge will your study contribute to society? How is it important?

Answer ALL questions below. [60 marks] Question One Much debate exists within the literature about leadership and management. Kotter (1990:103) argues that management and leadership are “two distinctive and complementary systems of action” and that the former involves coping with complexity, while the latter involves coping with change. 1.1 Discuss in detail, with the use of examples, the fundamental differences between the concept of leadership versus management. 1.2 Evaluate in detail, with the use of practical examples, the advantages and disadvantages of a transformational leader. 1.3 Discuss in detail, with the use of practical examples, FOUR (4) management styles and the potential impact each style may have on a business. PROJECT GUIDELINES:  Font Arial, size 12; Justified; 1.5 line spacing  Length of answers should be appropriate to the mark allocation  A maximum 10 pages  A minimum of 6 sources to be referenced  This assessment should be written in context of clarity and application of relevant theory END OF PAPER

2) how can social media be best used by your entrepreneurial venture for greatest impact. Explain in detail.

Describe in detail the similarities and the differences between IS - LM and AD - AS model Write in your Own Words. Explain (macroeconomic)

Here is the fact pattern I want you to base your answer on:

You want the latest in mini laptop computers.

You find what you need by searching on the Internet.

The seller is in Taiwan.

You negotiate a deal with the seller over the Internet and buy the computer.

The seller agrees to ship you the computer by boat.

Answer this Question: (minimum 200 words; any format)

What terms (words) would you insist be included in the Sales Contract so you would not bear the Risk of Loss?

Explain in detail why you use specific words and terms (i.e. compare and contrast).

Use the following to guide you:

My Lecture (Business Law)

“Risk of Loss”

“Risk of Loss in International Sales”

1) Many people have certain beliefs or expectations about psychotherapy based on what they see in the media, what they hear from friends or acquaintances, or their own experience. Describe in detail your perceptions of therapy and how you envision a typical therapy session would progress. Also describe why you believe some people who need help never seek it.