Research a mathematician. (Areas covered in class: Mathematics and Finance, Linear and Quadratic Equation, exponential and Linear Systems, Number Theory and Graph Theory).

Describe their contribution(s) to mathematics.

How has their contribution(s) helped resolve real-world problems or been used in day-to-day scenarios?

Assignment Formatting

Microsoft Word document

2 pages maximum (250 – 500 words) of text and include a work cited page

12-point font (Times New Roman or Courier)

double-spaced

1-inch margins all around with page numbers

no cover sheet

provide references for work cited page

# Tag: Mathematics

## Finite Math project (Exploring loan options)

This lists your gross monthly income, monthly liabilities in which you have more than 10 months of remaining payments, and your total savings.

You will be exploring two loan options for the property you select:

Please find the attached pdf for full details.

You can choose any state in USA

## Hashing (mapping and collision)

show how would you map the employees IDs to the file address, (you don’t need to map all 100 employees ad to the file) show a few examples.

Show an example of collision and show how you can resolve collisions.

** if we have exactly 100 employees what would happen??

## inclined plane

2kg is on rough plane inclined at an angle of 20 degrees to the horizontal. The coefficient if statics friction between the brick and the plane is 0.50. A force Facts on the brick at an angle of 30° to the inclined plane. Calculate the value F if the brick is on the point of moving 20 degrees

## Challenge Project 1/2

)

Given the function f(x) = a(x-h)2 k,

Change the values of a, h, and k one at a time.

Step 1: Change the a to 2. What effect does changing the value of a have on the graph when compared to f(x) = x2? Describe in your own words.

Step 2: Change the a to 1/2. What effect does changing the value of a have on the graph when compared to f(x) = x2? Describe in your own words.

Step 3: Change the h to 4. What effect does changing the value of h have on the graph when compared to f(x) = x2? Describe in your own words.

Step 4: Change the h to -4. What effect does changing the value of h have on the graph when compared to f(x) = x2? Describe in your own words.

Step 5: Change the k to 5. What effect does changing the value of k have on the graph when compared to f(x) = x2? Describe in your own words.

Step 6: Change the k to -5. What effect does changing the value of k have on the graph when compared to f(x) = x2? Describe in your own words.

Step 7: Change the a to -2. What effect does changing the value to -a have on the graph when compared to f(x) = x2? Describe in your own words.

Step 8: Go to desmos.com. Create a function that incorporates the transformations from steps 1, 3, and 5. Copy and paste/export the graph from desmos.com to your project file to answer #8. Describe the transformations from the parent function y = x2.

Step 9: Go to desmos.com. Create a function that incorporates the transformations from steps 1, 4, 6, and 7. Copy and paste/export the graph from desmos.com to your project file to answer #9. Describe the transformations from the parent function y = x2.

Step 10: Create a NONQUADRATIC function with at least 3 transformations. Use desmos.com to create a graph of the new function with its parent function on the same grid; and export the graph. State the parent function. Describe the transformations from the parent function.

Challenge Project Part 2: TRIG GRAPHS AND TRANSFORMATIONS

Use the following link to practice with trig graphs and transformations:

https://www.nctm.org/Classroom-Resources/Illuminat…

Change the values of A, B, C and D one at a time.

Using the sin graph provided in the link:

Step 1: Change the A to 2. What effect does changing the value of A have on the graph?Describe in your own words.

Step 2: Change the A to 1/2. What effect does changing the value of A have on the graph? Describe in your own words.

Step 3: Change the B to 2. What effect does changing the value of B have on the graph? Describe in your own words.

Step 4: Change the B to 1/2. What effect does changing the value of B have on the graph? Describe in your own words.

Step 5: Change the C to 90 degrees. What effect does changing the value of C have on the graph? Describe in your own words.

Step 6: Change the C to 180 degrees. What effect does changing the value of C have on the graph? Describe in your own words.

Step 7: Change the D to 2. What effect does changing the value of D have on the graph? Describe in your own words.

Step 8: Change the D to 1/2. What effect does changing the value of D have on the graph? Describe in your own words.

Step 9: Go to desmos.com. Create a new Cosine (cos) trig function that incorporates at least 2 new transformations. Copy and paste/export the graph from desmos.com to this file to answer #9. Describe the transformations from the parent function y = cos x.

Step 10: Graph and export the following parent trig functions to this file.

Sin x

Cos x

Tan x

Sec x

Csc x

Cot x

## 6-1 Homework Math Proof/Problem Solving

omplete the following problems from the attached document. Please note that a PDF version is provided to ensure that your word processing software has the appropriate math symbols and does not make inappropriate substitutions.

Be sure to show your work, including detail with explanations. You can use these templates to help write your proofs and notation in your homework using Equation Editor.

## 5-1 Homework Math Proof/Problem Solving

Complete the following problems from the attached document. Please note that a PDF version is provided to ensure that your word processing software has the appropriate math symbols and does not make inappropriate substitutions.

Be sure to show your work, including detail with explanations. You can use these templates to help write your proofs and notation in your homework using Equation Editor.

## 4-2 Homework – Math Proof/Problem solving

Complete the following problems from the attached document. Please note that a PDF version is provided to ensure that your word processing software has the appropriate math symbols and does not make inappropriate substitutions.

Be sure to show your work, including detail with explanations. You can use these templates to help write your proofs and notation in your homework using Equation Editor.

## Loan Question Problem

You can afford a $1250 per month mortgage payment. You’ve found a 30 year loan at 7% interest.a) How big of a loan can you afford?$b) How much total money will you pay the loan company?$c) How much of that money is interest?$

## Mathematics Question

For this activity you will work in groups to complete a sample THIRA.

For this discussion activity, you will complete a sample THIRA using the four-step process. Use the THIRA worksheets download[Docx, File size 12.2 KB] provided to record your findings. Refer to your text, Chapter 9 and the Comprehensive Preparedness Guide 201: Threat and Hazard Identification and Risk Assessment (THIRA) Process Guide for examples

STEP 1: Identify Threats and Hazards

In your group, create a list of jurisdictional threats and hazards. Each group will be assigned a local jurisdiction, and should choose three threats and three hazards, one from each category (natural, technological, and human-caused).

STEP 2: Contextualize Threats and Hazards

Each group will then chose one incident from the list of three threats and hazards of significant concern identified in activity one and create a context description. This should include the conditions (at a minimum time and location) most relevant to the community. Use table 9.5 Threat and Hazard Description factors (found in chapter 9 of your text) to develop your context descriptions.

STEP 3: Establish Capability Targets

3.1 Estimate Impacts of a Threat of Hazard: Using the context descriptions developed in Step 2, choose five (5) core capabilities, one from each of the five mission areas (prevent, protect, mitigation, response, and recovery) that would pertain to managing the threat or hazard (see Table 9.1 in your text). Next, estimate impacts of the threat or hazard on the chosen capabilities.

3.2 Develop Desired Outcomes and Capability Target Statements: Using all of the information created in the previous activities, each team will develop one desired outcome for each of the five core capabilities identified in the Estimate Impacts of a Threat of Hazard activity (above). Use the estimated impacts and the desired outcomes to develop one capability target statement for each of the core capabilities.

STEP 4: Apply the Results

Apply The Results: Using the capability target statements from each of the core capabilities previously identified in Step 3, identify the necessary resources needed to request, deploy, and use to manage your incident. Your team will need to use the FEMA Resource Typing Library Tool (Links to an external site.). Calculate the resource requirements by considering the capability targets, operational capacities of resources, and time available. Present your final THIRA results to the class.

Post your findings using the THIRA Worksheet EditEdit download[Docx, File size 12.2 KB] to the discussion board.

PART B

Prepare a Threat and Hazard Identification and Risk Assessment (THIRA) calculation and summary paper for two of the threats not used by your group in the discussion forum (natural, technological, and human caused). This is an individual assignment. You are to explain each step of the process for your threat/hazard in the same format you used for the discussion activity:

Identify threats and hazards of concern

Give the threats and hazards context

Establish capability targets

Apply the results.

Refer to your text, Chapter 9 and the Comprehensive Preparedness Guide 201: Threat and Hazard Identification and Risk Assessment (THIRA) Process Guide for examples. You may use the same worksheets download[Docx, File size 12.2 KB] provided for the group discussion activity for the calculation section.

Once you have completed the THIRA calculation for each threat/hazard, you will write must include a 1-2 page summary for each that includes a brief proposal of strategies or activities that might be taken to reduce the risks to that particular area. The finished calculation and summary paper should be 4-5 pages in length.