Week 4: Linear Inequalities and Nonlinear Functions

Linear equations are great for modeling relationships that are … linear! Relationships between an employee’s hours worked and total pay would be considered linear, modeled by an equation like T=20h where T stands for total pay and h is hours worked.

Consider the balance in a retirement account. You don’t have much when you are in your 20s, but as you continue your employment, your retirement account balance builds. This is not a linear relationship as it only builds up to a certain point. When you retire, you will need that money and start to spend it down. This relationship is best modeled by a parabola.

This week, you will explore systems of linear inequalities and relationships that are not modeled with linear relationships. Choosing an appropriate model will allow for more accurate predictions.

Discussion: Multitasking Math

In our fast-paced world, the term multitasking is often thrown around. Why just answer emails when you can answer emails and, at the same time, watch television with your spouse? Many assume that doing multiple tasks simultaneously allows one to finish tasks sooner, allowing for more time to rest or enjoyable activities. However, this is not likely the case.

For this Discussion, you explore the quadratic pass method—a mathematical process for improving the management of your time.

To prepare for this Discussion:

• Review the video on how to manage your time more effectively according to machines.
• Think about four to eight (4–8) tasks you perform daily.
• Consider how you might use the quadratic pass method, from the video, to minimize contact switches between these tasks. How might this method help you better manage your time?
• Think about whether you feel it is possible to eliminate all contact switches in your daily tasks.
• Think about how you would rank the tasks you selected in order of importance. What does your ranked task list look like?
• Reflect on why you chose to rank the tasks in the order you did.
• Think about your tasks based on the quadratic pass method. Consider how much longer it might take you to complete these tasks if they are completed in random or chronological order rather than ranking them first.

Click the link below for Brian Christian’s TED Talk, How to Manage Your Time More Effectively (According to Machines)

Christian, B. (2018, January). How to manage your time more effectively (according to machines) [Video]. TED Conferences. https://www.ted.com/talks/brian_christian_how_to_manage_your_time_more_effectively_according_to_machines
Note: The approximate length of this media piece is 5 minutes.

Here is the transcript for the video:

How to Manage Your Time More Effectively Transcript

Post at least 2 paragraphs responding to the following prompts:

• Paragraph 1:
  • Briefly outline four to eight (4–8) tasks you perform daily.
  • Explain how you might use the quadratic pass method, outlined in the video, to minimize contact switches between these tasks.
  • Explain why this method might help you better manage your time.
  • Explain whether you feel, in your case, it is possible to eliminate all contact switches to one set schedule. Why, or why not?
• Paragraph 2:
  • Describe how you ranked the tasks you selected, in Part 1, in order of importance using the ranking method. What does your task list look like after ranking it?
  • Explain why you chose to rank the tasks in the order you did.
  • Explain how much longer it would take you to complete your task list if you chose to rank them first versus completing them in random or chronological order using the quadratic pass method presented.

Normal Approximation to the Binomial and Poisson Distribution . Was it have been helpful years ago? How might it be helpful now? What would you use Normal Approximation to calculate the probabilities ?

Basic Differentiation Properties, Marginal Analysis in Business and Economics, and The Constant e and Continuous Compound Interest. I’ll provide more information when we start 

There are two questions one labeled Number 2 with parts a-e and the other labled number 1 with parts a-c. Please answer all these questions. Questions are. attached

Please solve all of these questions and show all the steps in the Words. If you provide me the photo or picture, make sure it will be clear. Had better send me one answer when you finish one. I provide the materials which is the PDF

our topic is Chemical reaction rates

Notes:just  focus on zeroth order and have the audience attempt to integrate it, along with using the differential rate law.

anything higher than first order got into calc 4 territory and it would be way too difficult and  don’t mess with integrated rate law

The questions include Linear Equations and Straight Lines; Matrices; Linear Programming, A Geometric Approach; The Simplex Method; Sets and Counting; Probability; Probability and Statistics; The Mathematics of Finance

I will attach the answer key for these questions and the book has similar questions and solutions for all the problems.

But you can’t just copy the answer without a process

Answer must be handwriting PDF

Explain in your own words when and why using the elimination method for solving a system of equations is preferable to using the substitution method.

Providing an example is a good idea – you do not have to solve your example system.

2 paragraph

I’m working on a algebra discussion question and need an explanation to help me study.

The maximum or minimum value of a quadratic equation occurs at the vertex.

• Can a maximum value for a quadratic equation be a negative number?
• Can a minimum value for a quadratic equation be a positive number?

Explain by using examples.