Month: August 2021

Consider the function f(x) = 1/x for x ∈ ℝ and 3 < x < 7. Prove that limx→5 f(x) = 1/5. use with epsilon and delta method

Educators are shifting their instructional practices to include constructivist strategies that increase rigor in terms of critical thinking and problem-solving. The intent of these strategies is to prepare students for college and careers in the 21st century.

Research and provide the links for two math lesson plans aligned to any two state math content standards for any K-8 grade level. Select lesson plans that do not already use constructivist strategies for teaching the math skills.

In 500-750 words, complete the “Mathematical Lesson Analysis Template” (attached)  and for each lesson plan:

•  Identify components within the lesson plan that address the standards the lesson plan is aligned to.
• Describe one constructivist strategy that could be used within the lesson that involves critical thinking and problem-solving.

Support your constructivist strategies with 1-2 scholarly resources.

Solve each logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer. Then, use a calculator to obtain a decimal approximation to three decimal places, for the solution.

1. log2 (x−3) + log2 x − log2 (x+2) =2
2. ln (x−4) + ln (x+1) = ln (x −8)
3. 2 log3 (x+4) =log3 9 + 2
4. ln x + 3‾‾‾‾‾‾√ = 1
5. log2 y − 3 = − log2 (y + 2)

In the final project, our purpose is to apply what we have learned in the past seven weeks plus the basic idea of conformal mapping in Chapter 17 to potential problems. This will lead to boundary value problems and many engineering applications in electrostatics, heat flow, and fluid flow which are covered in sections 18.2, 18.3, and 18.4. You will need to choose a problem to discuss from either of these sections and write a 3 – 5 pages report in addressing the specifics of the problem and solve it. You may also choose a problem in the problem sets 18.2, 18.3, and 18.4. After you choose the specific problem for your final project, you need to contact me in advance to get my permission for the problem to be considered as your final project. After obtaining my permission, you will then write your report and submit it in the assignment area. Feel free to contact me with any questions.

DISCUSSION 1

Respond to the following questions in a minimum of 175 words:

What is one new feature or function related to spreadsheets that you either learned about for the first time or found most interesting? Give a specific example. How might this feature or function help with a process in either your personal or professional life?

DISCUSSION 2

For this assignment, reflect on your reading from Welsch, Vivanco, and Fuentes (2020) in Anthropology: Asking Questions About Human Origins, Diversity, and Culture: Part IV, Chapters 15 (sections 1, 2, 4, and 5) and 17. In your initial post, choose one of these questions to answer:

• According to Welsch, Vivanco, and Fuentes (2020), what is a totem? Give an example of a totem from your culture and explain how it functions as a totem.
• When an anthropologist talks about magic, what do they mean? Give an example of this kind of magic in the United States today and explain how it is similar to magic in non-Western societies.
• According to Welsch, Vivanco, and Fuentes (2020), what are the key features of a ritual? Give an example of a ritual you are familiar with and describe whether or not you think it meets this definition of a ritual.