## real-world periodic

Part 1: calculations

There may be many things going on around you that are periodic that you do not even realize!

Perhaps there is an old grandfather clock in your house, with a pendulum swinging back and

forth inside. That pendulum is one example of periodic motion that can be graphed using

trigonometric functions. How about the hands on the face of that same grandfather clock?

They repeat the same pattern every 12 hours, 60 minutes, and 60 seconds. The tides rise and

fall in a periodic fashion, the planets travel around the sun, and the earth rotates on its axis.

These are all examples of periodic motion!

Question 1

Your assignment is to choose an object, or event, around you that can be represented by

trigonometric functions, then complete the following tasks.

1) Record your event through a series of photographs, a video or another appropriate

method. (For example, if you are using an oscilloscope, include a photo or video of the

sound wave, and a copy of the audio file that you are measuring; If you are using a

website like this one: http://astro.unl.edu/, include a screenshot, or create a video

using Jing).

2) Record the starting y-value of your object or event (when x = 0).

3) Find the period of the object or event.

4) Find the maximum and minimum y-values. You will need to pick a base point to

reference from (usually this is a stationary object that you can measure from. For

example, a stationary dock if measuring the tides).

5) Determine the amplitude of the function.

6) Determine the vertical translation of the function.

7) Use the information gathered to create a function of the form

f (x) = asin (k (x ? d)) c, and a function of the form f (x) = acos (k (x ? d)) c.

8) Graph your functions by hand. (Remember to include appropriate labels, scale, etc.)

Part 2: Presentation and ReflectionAt this point in the course, you have submitted several assignments of various types. For this assignment, you may choose how you would like to present your findings. Please remember that your submission should be appropriate to the course, should be clear and easy to follow, neat and organized. See the rubric for this assignment for further details.

Question 2Be sure your submission answers the following questions as well:(6 pages at most, include your sources where applicable)

Be sure your submission answers the following questions as well:(6 pages at most, include your sources where applicable)

Question 2 options:

1)

Describe in your own words why the object or event you chose is periodic.

2)

Explain your process for coming up with the functions that represent your object or event. Explain the point of reference you chose and why you chose it, how you measured or gathered the data you need, etc.

3)

Explain a method you could use to verify that your functions are accurate (think about ways you have verified functions before, this may have been done in other units, or other courses).

4)

Reflect on the assignment. What part of the assignment did you find most difficult? What did you find the easiest? What did you learn while working through this assignment?

## Rough Draft

Course Project Rough Draft

Submit a well-developed, full-length rough draft of your Course Project ResearcDownload Course Project Research Paperfor formative feedback. Your Course Project will consist of a research paper that demonstrates the application and analysis of an interpersonal communication perspective, theory, social issue, or communication problem you may experience in your chosen field of work. Your rough draft should be nearly complete to receive appropriate feedback. Use your outline to help organize your rough draft. Be sure to have the rough draft in APA format, and include a title page and a references/sources page. Remember you must have at least three sources or references cited in your paper.

Writing Requirements (APA format)

1-inch margins

Double spaced

12-point Times New Roman font

Title page with topic and name of student

In-text citations

References page (minimum of three resources)

Final Draft must be 800-1,000 words (excluding references page and title page)

## real-world periodic

Writing Assignment Help Part 1: calculations

There may be many things going on around you that are periodic that you do not even realize!

Perhaps there is an old grandfather clock in your house, with a pendulum swinging back and

forth inside. That pendulum is one example of periodic motion that can be graphed using

trigonometric functions. How about the hands on the face of that same grandfather clock?

They repeat the same pattern every 12 hours, 60 minutes, and 60 seconds. The tides rise and

fall in a periodic fashion, the planets travel around the sun, and the earth rotates on its axis.

These are all examples of periodic motion!

Question 1

Your assignment is to choose an object, or event, around you that can be represented by

trigonometric functions, then complete the following tasks.

1) Record your event through a series of photographs, a video or another appropriate

method. (For example, if you are using an oscilloscope, include a photo or video of the

sound wave, and a copy of the audio file that you are measuring; If you are using a

website like this one: http://astro.unl.edu/, include a screenshot, or create a video

using Jing).

2) Record the starting y-value of your object or event (when x = 0).

3) Find the period of the object or event.

4) Find the maximum and minimum y-values. You will need to pick a base point to

reference from (usually this is a stationary object that you can measure from. For

example, a stationary dock if measuring the tides).

5) Determine the amplitude of the function.

6) Determine the vertical translation of the function.

7) Use the information gathered to create a function of the form

f (x) = asin (k (x ? d)) c, and a function of the form f (x) = acos (k (x ? d)) c.

8) Graph your functions by hand. (Remember to include appropriate labels, scale, etc.)

Part 2: Presentation and ReflectionAt this point in the course, you have submitted several assignments of various types. For this assignment, you may choose how you would like to present your findings. Please remember that your submission should be appropriate to the course, should be clear and easy to follow, neat and organized. See the rubric for this assignment for further details.

Question 2Be sure your submission answers the following questions as well:(6 pages at most, include your sources where applicable)

Be sure your submission answers the following questions as well:(6 pages at most, include your sources where applicable)

Question 2 options:

1)

Describe in your own words why the object or event you chose is periodic.

2)

Explain your process for coming up with the functions that represent your object or event. Explain the point of reference you chose and why you chose it, how you measured or gathered the data you need, etc.

3)

Explain a method you could use to verify that your functions are accurate (think about ways you have verified functions before, this may have been done in other units, or other courses).

4)

Reflect on the assignment. What part of the assignment did you find most difficult? What did you find the easiest? What did you learn while working through this assignment?

## dragon din

The ‘Dragon’s Den’ is a reality television show where entrepreneurs pitch their business ideas in the hopes of securing an investment from the team of investors also known as “The Dragons”.

In this activity, you are an entrepreneur pitching your new idea to the Dragon’s Den. You will need to create one of the following options to pitch your idea:

Video

Website

PowerPoint

Written Report

You must include all calculations and graphs in whichever method you choose.

Question 1Watch this clip from Dragon’s Den to familiarize yourself with the concept of pitching your product to investors

http://www.cbc.ca/dragonsden/pitches/pook-toques

Question 2Think of a product you would like to invent. Some of the most successful pitches on dragons den are products created for everyday living that will make consumers lives easier. Have you ever been completing a task and thought there has to be an easier way? Well now is the time to explore that idea! If you are having a hard time coming up with an idea go to the Dragon’s Den website. You may choose to use one of these products from the show or a similar one for your project. Choose an item that will retail between $5-$10.

http://www.cbc.ca/dragonsden/pitches/category/season-10/

Question 3Now you will need to research (see instructions below) how much your idea will cost per month and create a function in the form of to represent it. Here are the two different monthly costs for operating your new business. Choose the most appropriate fit for your product:

Question 4Choose a selling price between $5-$10. Suppose on an average month you sell 500 items. For every $0.15 increase in your price you sell 10 less items.

a) Find a function for Revenue, with respect to the number of price increases. Your function will be R(x)= (number of products sold) x (price). It is important to incorporate that for every $0.15 in your price you sell 10 less items.

[Hint: First find a function for the number products sold, and a function for the price of the item.]

b) Provide a graph for your Revenue Function.

c) Determine the roots of R(x)and interpret them in the context of the question.

D) Determine the maximum or minimum values of R(x) and interpret them in the context of the question.

e) Determine the domain and range of and interpret them in the context of the question

f) Now create a revenue function with respect to the number of items sold and the new selling price.

Question 5Using your Cost and Revenue functions, find the profit function, P(x)=R(x)-C(x)

Provide all of your calculations and a graph of your profit function.

Question 6Now that you have your new product and all your calculations complete, it is time to create your pitch to The Dragon’s. Remember you are trying to get them to invest in your product so you will want to include all the selling points from your calculations (such as your maximum profit).

a) You must include all calculations and graphs in whichever method you choose to present your pitch.

b) Be concise, keeping it engaging and to the point (Maximum 5 pages, or 10 slides, or 8 minutes).

Question 7Write a short reflection on this assignment (1-2 paragraphs). Were your results realistic?

Were your results realistic? What did you learn from this assignment? What was easy and what was more difficult?

## Identify concept of emotions from a given song

Consider the key concepts from the class on emotions, such as feeling and framing rules, obstacles to effective communication of emotion, influences on emotions, then choose one song from the list below. Identify which concept(s) of emotion your chosen song illustrates.For this assignment, visit Lyrics.com (http://www.lyrics.com) or A-Z Lyrics Universe (http://www.azlyrics.com) and select one song’s lyrics to identify how the artist uses music to portray emotions and their expression.

You may not use songs that are not on this list. Please choose only one song.

Aerosmith—Jaded (http: (Links to an external site.)//www.geocities.com/SunsetStrip/Lobby/7678/lrc/61.txt) (Links to an external site.)

Boyz II Men—It’s So Hard to Say Goodbye to Yesterday(http://www.g (Links to an external site.)eocities.com/SunsetStrip/Venue/4786/goodbye.htm) (Links to an external site.)

Norah Jones—Cold, Cold Heart (http://www.norahjones.info/news.php?cod=13) (Links to an external site.)

Madonna—What It Feels Like for a Girl(http://www.a (Links to an external site.)zlyrics.com/lyrics/madonna/whatitfeelslikeforagirl.html) (Links to an external site.)

Shania Twain—Man! I Feel Like a Woman! (http://www.g (Links to an external site.)eocities.com/Nashville/8691/lyrics/coo- (Links to an external site.) 1.html)

Usher—Without U (http://www.azlyrics.com/lyrics/usher/withoutu.html) (Links to an external site.)

No Doubt—In My Head (http://www.a (Links to an external site.)zlyrics.com/lyrics/nodoubt/inmyhead.html) (Links to an external site.)

Akon—I’m so lonely (http://www.metrol (Links to an external site.)yrics.com/lyrics/219651/Akon/Lonely) (Links to an external site.)

Mariah Carey—We Belong Together (http://www.dapslyrics.com/display.php?sid=12636) (Links to an external site.)

Your response should be a one-page (300-350 words) report that makes informed references from this module’s materials. A grading rubric (how this assignment will be graded) is provided.