Part 1 - Application An airplane is flying on a bearing of 170 at 495 mph. Find the component form of the velocity of the airplane. Be sure to show and explain your work.

Part 2 - Find the error(s) and solve the problem correctly. Be sure to show and explain your work. An airplane is flying on a compass heading (bearing) of 170 at 460 mph. A wind is blowing with the bearing 200 at 80 mph. a. Find the component form of the velocity of the airplane. b. Find the actual ground speed and direction of the airplane Answer: a. v = 460 = < -453.01, 79.88 > b. Find the wind vector w = 80 = <-75.18, -27.36> Velocity vector = v + w = < -528.19, 52.52> Actual speed | |v + w| | ( 528. 19) 530.79 mph

2 + (52. 52) 2 Actual direction: = 180 + tan )= 95.68

1 ( 528.19 52.52

Part 3 - Discussion Question What determines when you can use the Law of Sines or the Law of Cosines? Sketch an example of your explanation.

Part 4 - Reflection This question required: 1. What new information have you learned from this module? What surprised you about what you learned? What knowledge from your past courses did you use in this module?

Choose 2 of the following questions: 2. Over the course of this module, what concept did you find the most challenging? What did you do to clarify the concepts in this module to further your learning?How did I move through roadblocks or challenges? 3. Describe a specific LSS resource in addition to the course content that you used in this module and how it helped you learn the concepts. 4. Why do students need to understand vectors? What job do you think would use vectors other than a pilot?

Your response must be at least three paragraphs (1 per question you choose).

Application The table below shows the February balance of a simple interest savings account each year from 2015 to 2021 Year 2015 2016 2017 2018 2019 2020 2021 Balance

$12,000 14018 16036 18054 20072 22090 24108

Do the balances form an arithmetic or geometric sequence? What is the d or the r? Conduct a formula for the balance in the account n years after February 2015. Find the sum of the February balances from 2015 to 2032, inclusive.

Find the error(s) and solve the problem correctly. Determine whether the sequence converges or diverges. How do you know if it converges or diverges? If it converges, give the limit. 5n1 { n+1 } Answer: Diverges because of the degree of the numerator and denominator.

Discussion Question Describe the difference between a recursive rule and an explicit rule when working with sequences.

Reflection This question required: 1. What new information have you learned from this module? What surprised you about what you learned? What knowledge from your past courses did you use in this module?

Choose 2 of the following questions: 2. Does your work in this chapter truly reflect your effort? If so, how? If not, how could you improve? 3. Describe a specific LSS resource in addition to the course content that you used in this module and how it helped you learn the concepts. 4. Conduct a short story describing your performance and understanding throughout this module. 5. The course resources and your teacher says that note taking is really helpful in mathematics. As you went through this module would you agree or disagree with that? What additional advice would you give to a student that is beginning the course today?"

Your response must be at least three paragraphs (1 per question you choose).