https://docs.google.com/document/d/1OL9vpFHWsY1jsb…

1. A light beam is reflected (angle of incidence = angle of reflection) against three flat mirrors according to the figure. Determine the angle β expressed in the angle α.

2. ABCD is a convex quadrilateral. This means that the distance between two is arbitrarily chosen points in the quadrilateral are inside the ABCD. In a concave quadrilateral can a piece of the line lie outside the area. Each side of the quadrilateral is divided into three equal parts, which gives rise to to eight new points E, F, G, H, I, J, K, L. By connecting these points in pairs (see figure) four new lines are created that intersect at the points M, N, O, P. What can you say

about the quadrilateral MNOP?

3. Let the ABCD be a parallelogram. From corner A you draw the line AN perpendicular to

CD and the distance AM perpendicular to CB. Point N lies on the line CD and point M is on the line CB, see figure. Show that the triangles MAN and ABC are uniform. Management:

Use theorems: In a circle, peripheral angles that stand on the same arc are equal.

The peripheral angle of a semicircle is right.

4. A right-angled triangle, T has catheters a and b and hypotenuse c. Three new triangles, all

uniform with the original, is created as follows: the first new triangle, T1, is obtained by multiplying all the sides of T by the factor a. In the same way, T2 and T3 are obtained by to multiply the sides in T by b and c respectively. Now puzzle these three new triangles together

to a rectangle. Show with a figure how you did. Enter the sides of the rectangle. What are you drawing for a Conclusion?

5. Two well-known trigonometric formulas are

sin 2α = 2 sin α cos α,

cos 2α = cos2 α – sin2 α

Show these formulas when α is an acute angle.

Lead: Consider an isosceles triangle with apex angle 2α.

6. A circle touches three of the sides of a rectangle and cuts the fourth side into three equal parts. Determine the relationship between the sides of the rectangle.

7. In a circle with radius r, an arc of a circle with a center angle of 90 degrees is dashed in the figure below. It is folded over (downwards) and this arc of a circle is solid in the figure. Then one is entered smaller circle symmetrically in the figure. Two equal claw-like areas are then formed. Calculate area of these.

8. Two radii in a circle form 45 degrees with each other. A chord is divided by these radii into three equal parts. Determine the relationship between the chord and the diameter of the circle.

9. An equilateral triangle ABC has side 1. A point D has the distance 2 to C and the distance

3/2 to A. Determine the maximum and minimum value of the section BD. Note that you must answer exactly. Utilize the trigonometric relationships such as cos (α + β) = cos α cos β –

sin α sin β.

10. The three bisectrices in a triangle always intersect at the midpoint, 0, of the inscribed

the circle. Let AA1 be the bisector of the angle A in ∆ABC where A1 lies on the side BC (see

figure). Show that

11. In a right-angled triangle, the hypotenuse is divided into two parts A and B of the inscribed circles tangent point. Show that the area of the triangle is AB.

12. Two circles with radii of 13 cm and 1 cm touch each other on the inside. A chord in

the larger circle is tangent to the smaller circle and forms an angle of 30 degrees with the line

through the centers of the circles. Determine the length of the cord. See figure.

13. In a square with side a, a portrait of a bee has been drawn (see figure).

What is the radius of the circle depicting the head? The wings are bounded by two semicircles

with diameter a and a quarter circle with radius a and center in the upper right corner. The

the three arcs of the circle intersect at three points and the small circle passes through these three points. The small circle depicts the hind body. The large circle (head) touches two

of the sides of the square and the two semicircles.

14. A mirror has broken, see figure. The EF GH mirror is a square and the ABCD is also one

square. In all four triangles that make up the frame, one catheter is twice as long the other, AF = 2AE and so on. For the crack EIJKLG it applies that EI = 12, IJ = 6, JK = 8, KL = 3, LG = 7. The segments in the crack are perpendicular to each other so EI⊥IJ, IJ⊥JK and so on. Determine the side of the square frame AB.

15. Four equally long rods (solid lines in the figure) are laid out along an isosceles triangle (see figure). How large is the angle at A?

Global Music and Jazz

This assignment is a research and writing assignment that asks you to find a Jazz artist who is combining an International music style with Jazz music to create/explore a new Jazz sound in a specific project (recording or concert) IT IS IMPORTANT YOUR READ AND UNDERSTAND THIS ASSIGNMENT – YOU ARE SEARCHING FOR A JAZZ ARTIST THAT IS CREATING JAZZ MUSIC WITH AN INTERNATIONAL MUSIC INFLUENCE. The artist can be American OR from another country, but must be creating JAZZ music, not using international music influences to create other styles of music (which is interesting, BUT not in the scope of this class.) The international music needs to be indigenous music from a specific country or region/culture – Irish folk music, or Calypso music from Trindad/Tobago, or music from the Basque region of Spain, etc.. It can not be a music that is already a mixture of styles (Afrobeat for instance), or a music from an International urban area that has lots of different ethnic groups (like London.) So, for instance, an artist creating dance club music using Indian musical influences (from India) is NOT someone you can use for this paper.

As you have discovered in your text readings and other assignments in this course, Jazz music developed in America from the combining of different musical influences, which came about as a result of the numerous International cultures that played a part in the development of the country. As the music grew, Jazz continued to incorporate musical elements from other styles of music, including world music influences. Examples include Dizzy Gillespie, who collaborated with Cuban congero Chano Pozo to explore new sounds in Jazz. In the 1960’s the Brazilian music style of Bossa Nova influenced artists like Stan Getz, and became a popular new sound in Jazz. The combining of International music styles and Jazz in this way is continuing today, creating interesting new Jazz sounds. Many international musical influences can be heard in modern Jazz music.

Assignment:

Research and find an artist or group that is combining an international music with jazz to create a new Jazz sound for a specific project (usually a recording, but could be a concert) Limit your research to music created in the 21st Century (since the year 2000.) Pick a culture or country whose music you would be interested in learning about and see if you can find an artist or group who is combining that music with Jazz music to create a new Jazz sound. BE SURE YOU FIND A JAZZ ARTIST OR GROUP THAT IS COMBINING AN INTERNATIONAL MUSIC AND JAZZ, TO CREATE A NEW JAZZ SOUND. There are a number of examples of non-jazz artists using international music in their folk music, rock music, hip hop etc.., so be sure your choice of artist/group is a JAZZ artist. The artist can be an American that is using International music as an influence or it can be an artist who is from another country that is an accomplished Jazz artist who is exploring combining music from his/her culture with Jazz. Be SURE the artist is a Jazz artist and the specific music project you write about is a combination of Jazz and an International music style.

This assignment is requires you to do collegiate level research to find an appropriate artist who has a specific project/composition(s) that combines Jazz and an International music.

Example: an online search for “Traditional Japanese music and Jazz” produced a large number of entries, and some were useful in suggesting some artists that are combining the 2 styles of music to create a new Jazz based music.

When conducting online searches, use quotation marks around the important key words in the search…”Japanese Folk Music” and “Jazz” for instance.

The USF Library has created a Course Guide for this class with useful information on how to conduct online searches and what materials are available in the USF Library that could be useful to this assignment.

http://guides.lib.usf.edu/SurveyJazz (Links to an external site.)

Once you find an artist you are interested in, listen to the musical examples and read about the artist and their concepts for combining Jazz and the International music they specialize in.

Requirements:

1. Write a 1000-1500 word paper ( this is the body of the paper, not including the discography and references, etc..) which describes the artist/group and their music. (NOTE: word count is the least important part of the grading of this paper. Any paper that covers all of the requirements will be at least 1000 words, this is just a suggestion so that you don’t feel like you have to write a LONG paper. The content, quality of writing, inclusion of required information and following the writing style guidelines are the most important part of this paper). The paper should be well written, following general rules and formatting for a Research Paper (see suggested format below). Citations should be in MLA or APA format. You can get help and information about writing a Research Paper from the USF Writing Center.
2. Use your research to write a description of the artist/groups concepts and ideas for combining the international music with Jazz. It is important that find descriptions of the concepts and ideas from the artist and/or reputable experts reviewing the project/composition. You need to do significant research to be able to write about the ways the artist or group is combining the international music elements with Jazz elements to create the new music. Be sure you write about a specific composition or musical project (can be a whole album.)
3. Include your own description of what you hear in the music. Describe the ways the music moves you.
4. Include a general description of the artist/groups, what they are known for and other relevant projects/recordings they have produced. Include a selected discography as part of your reference citations. A discography is a list of important recordings by the artist or group. (You can find examples of discographies online.) You need to include the artist/group name, title of the recording, record label (company), year it was released, and important personnel on the recording.
5. Include information about the recordings you write about:
   1. Date released
   2. Record label
   3. Musicians on the recording
   4. How readers can find this music (purchase, listen, etc)

You will be graded on:

1. The inclusion of all of the issues listed above in your paper.
2. Evidence of research into the artist and music. References to your other research should be included.
3. Your description of the music.
   1. How the combination of the particular Global music and Jazz presented by the artist/group works – what elements of each style of music are heard?
   2. How the music impacts you as a listener – what moves you:
      1. pick some specific moments in the performance that you can identify, describe and comment on the way the music moves you.
   3. How well written and readable the paper is.
      1. This is an IMPORTANT part of the Draft-Final paper process, to create a Final Paper that is well written and interesting to the reader.

Note: Reference materials (discography and citation lists) are not part of the word count

Basic format:

Opening Paragraph (Thesis)

– describes the content of the paper and the points to be made.

Inside Paragraphs

– discuss each topic presented in the Opening Paragraph (Thesis)

Conclusion

Discography

– a selective listing of the Artist/Group’s important recordings that relate to the paper. Look up “discography” so you know what it is!

Research References

– citations need to be in MLA or APA format

Please complete a two-page article summary from the following article, “A Data-Driven Approach to Addressing Racial Disparities in Health Care Outcomes.”

The summary should only be two pages in length, single-spaced, following APA formatting. The article will address the following questions:

1. How could the information enclosed in the article allow you, as the Health Operations Manager, improve the delivery system for your hospital while overcoming racial barriers? (Use the PDSA approach in explaining your answer)
2. Use the Six Dimensions of Health Care Quality to explain how you would make changes in your health care system to overcome racial disparities in improving outcomes?

Part 2: Draft Strategic Plan

Prepare a high-level, draft strategic plan for your selected organization.

The focus of this assessment is on applying the insights you have gained from your TOWS matrix and the environmental analysis you completed in Assessment 1 to the strategic plan. The information from the four quadrants of your matrix will serve as foundational criteria for developing your draft plan.

You must be able to look at your TOWS matrix results and then formulate four overarching strategies with at least one operational goal to support each strategy. Whether your strategies are to enhance the strengths you have identified or to improve weaknesses, your draft strategic plan must align with your organization’s mission, vision, and values.

As you prepare your plan, it may be helpful to review common strategies and goals many health care organizations develop and monitor.

Include, with each of your strategies, the core assumptions regarding environmental opportunities and threats, organizational strengths and weaknesses, and organizational behavioral dynamics that are foundational to the strategy. For example, consider:

• Service/product life cycle.
• Product development.
• Organizational culture.
• Available funding to execute strategies.

Strategic Plan Requirements

The requirements, outlined below, correspond to the grading criteria in the TOWS Matrix Analysis and Strategic Plan Scoring Guide, so be sure to address each point. Read the performance-level descriptions for each criterion to see how your work will be assessed.

• Incorporate methodologies from the knowledge-economy management approach in a strategic plan appropriate for your organization.
• Integrate recent strategy management research findings into your strategic plan.
• Synthesize operational and financial components into your strategic planning process.
• Include your determination of the organizational structure (functional, divisional, or matrix) that best facilitates your strategies.
• Create a clear, concise, well-organized, and professional TOWS matrix analysis and strategic plan draft.
• Apply proper APA formatting and style guidelines to citations and references.

Document Formats

Prepare your TOWS matrix analysis and draft strategic plan using a familiar and appropriate document format used by health care organizations, such as a memo, business report, or white paper.

Page Length Requirements

• Your draft strategic plan should be 1–2 pages in length.

Supporting Evidence

Health care is an evidence-based field. Consequently, readers of these documents will want to know the sources of your information, so be sure to include applicable, APA-formatted source citations and references.