Project 4 evaluation 34 precalculus: analytic geometry & algebra

   

Name _________________________________  I.D. Number   _______________________ 

Project 4 

Evaluation 34 

Precalculus: Analytic Geometry & Algebra (MTHH 043 059) 

Be sure to include ALL pages of this project (including the directions and the assignment) when you send the project to your teacher for grading. Don’t forget to put your name and I.D. number at the top of this page! 

This project will count for 10% of your overall grade for this course. Be sure to read all the instructions and assemble all the necessary materials before you begin. You will need to print this document and complete it on paper. Feel free to attach extra pages if you need them. 

To earn full credit, you must justify your solutions by showing your work. 

When you have completed this project you may submit it electronically through the online course management system by scanning the pages into either .pdf (Portable Document Format), or .doc (Microsoft Word document) format. If you scan your project as images, embed them in a Word document in .gif image format. Using .gif images that are smaller than 8 x 10 inches, or 600 x 800 pixels, will help ensure that the project is small enough to upload. Remember that a file that is larger than 5,000 K will NOT go through the online system. Make sure your pages are legible before you upload them. 

Be sure to show all your work for full credit. 

1. Find the roots of the function, and write the solution in factored form: 

f x  x4   3x – 4, if x 2  –2i is one root. 

Find a formula for the nth term of the sequence. Show your work. 

2.  

3. 2, 5, 10, 17, 26, . . .  

4.  

Find the sums of the given geometric series. Show your work. 

5.  

  3 k 1

6. 2 4  k 1  

7. Use geometric series to find the rational number represented by the repeating decimal: .036 . 

Use the Binomial Theorem to expand each expression. Show your work. 

8. 2x14 

9. (x  y)5  

Use mathematical induction to prove the following statements. Show your work. 

10. 3    6   9 . . . 3n   3n(n1) 

2

11. 4  4 4 . . . 4 2 3  n 44n 1 

3

Let z1 = 3 – 4i  and z2 = – 1 – i . Perform the indicated operations and write the solutions in the form a + bi. Show your work. 

12. z – z1  2 

z1 

13. 

z2

14. z2 

15. z1 (conjugate) 

16. Find a polynomial function with real coefficients that has – 2 and 3i  as its roots. Express your answer is standard form. Show your work. 

17. Let z1 = – 2i , z2 = 5 – 2i , z3 = – 3 + 5i . Locate z1, z2, and z3 on the same complex plane. 

 

4

18. Find the value of the sum. Show your work. 2k 

k 1

19. Write f x  x 25x 3 in factored form, and find the roots of f (x). Show your work. 

20. Find a polynomial function with real coefficients that has 3 and – 2i as its roots. Express your answer is standard form. Show your work. 

21. Express the finite sum in summation notation and show your work: – 2 + 4 – 8 + 16 – 32 + 

64  

Must show your work. If 10 people apply for 3 jobs, in how many ways can people be chosen for the jobs: 

22. If the jobs are all the same. 

23. If the jobs are all the different. 

Find the limit of each expression. Show your work. 

2  3n

24. nlim n2  6n 

n

25. nlim   52  

Declaration 

I know that plagiarism is wrong. Plagiarism is to use another’s work and pretend that it is one’s own. I declare that this is my own work. 

Signature _________________________________ Student I.D. number ________________ 

This project can be submitted electronically. Check the Project page under “My Work” in the UNHS online course management system. 

  

blank page 

Place your order
(550 words)

Approximate price: $22

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
$26
The price is based on these factors:
Academic level
Number of pages
Urgency
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more