The following information was recorded on August 12, 2011 at 10 p.m.:

• Wind Speed at 75m = 10.8 m/s
• Wind Direction at 75 m = 120 ^o
• Sigma Theta at 75 m = 9.2 ^o
• Atmospheric Temperature = 21.2 ^oC
• Stack Exit Temperature = 200 ^oC
• Stack Height = 75 m
• Stack Diameter = 0.2 m
• Stack Exit Velocity = 10.2 m/s
• Source Strength = 100 g/s
• Air Contaminant = VOC

Plot C _u/Q versus downwind distance under night-time conditions and compare your results with calculations using day-time conditions. Use sigmas from Problem 4. Choose the one of the following statement using your results:

Suppose we modified the Pollard rho method, so the iteration would be f(x) = x^2 mod n instead of f(x) = x^2 + 2 mod n. How well would it perform, and why? (You are encouraged to try some moderately large examples using a computer.)

Consider a 20-year mortgage for $282845 at an annual interest rate of 4.1%. After 6 years, the mortgage is refinanced to an annual interest rate of 2.5%. What are the monthly payments after refinancing?

the function F:(-1,1)toR dfined by F(x)=x/(1-x^2) is homeomorphism in a topology..

please explain the answer for me

Name the analysis that would be conducted to respond to the research questions listed below. Second, explain how you know that is the correct analysis. ( you have to choose if the information that is shown here that fits this requirement: Qualitative research method, quantitative research)

What are possible differences in frequencies between males and females who were in the top 50% versus bottom 50% of their graduating class in high school?

Analysis:

How you know:

What are possible differences between GPA of graduate students at a large public research university and the mean GPA (μ=3.25) advertised on this university’s website?

Analysis:

How you know:

Solve the following problems.

a) What is the order of the differential equation ? ′ = ? 2 − 3? − 10? Is it linear ?

b) Determine whether the differential equation ? ′ = ? 2 − 3? − 10 possesses constant solutions. If yes find these constant solutions.

c) Find the value(s) of ? so that the function ? = ? ?? is a solution of ? ′′ − 3? ′ − 10? = 0.

Do you think that ? = ?1? −2? + ?2? 5? , where ?1 and ?2 are constants, is a solution for the differential equation ? ′′ − 3? ′ − 10? = 0? Justify your answer.

Function   f (x) = a x + b     for IxI < 2

= 0 for x others

   Determinate Fourier series from n= 0 until n= 2

discuss EXPTIME, its canonical problems, and its relations to other classes. This one is a little more free-form, so you'll have to figure out what to write about. Or you can focus on 2 classes with a subset/superset relation, describe them and their canonical problems, and prove the subset/superset relation.

Let f(x, y) be a function such that f(0, 0) = 1, f(0, 1) = 2, f(1, 0) = 3, f(1, 1) = 5, f(2, 0) = 5, f(2, 1) = 10. Determine the Lagrange interpolation F(x, y) that interpolates the above data. Use Lagrangian bi-variate interpolation to solve this and also show the working steps.

Find the volume of the region that lies between the unit sphere and the sphere of radius 1 centered at (0,0,1) (ans is (5pi)/12 but I cant quite get it)

1.The monthly revenue of a mobile mechanic business is given by R = 1,200p - 9p2​, where p is the hourly charge (in dollars) for the services the business provides. At what charge will the revenue be $14,400 if the price charged must be greater than​ $50? Provide your answer to the nearest dollar.

2. A company produces water bottles where the variable cost per bottle is $3.50 and fixed cost is $20,000 per year. Next year, the company wants the total cost to be $48,000. How many bottles should be made next year?

3. A company manufactures water filters that cost $15 for labour and material, plus $50,000 in fixed costs. If they sell the water filter for $20, how many filters must be sold to break even?

Use the simplex method to answer the following problem. Include all tableaus.

Delvecchio's pizza shop makes three specialty pizzas, the Mighty Meaty, the Very Veggie, and Super Cheesy. The Mighty Meaty is topped with 5 different meat toppings and 2 different cheeses. The Very Veggie has 6 different vegetable toppings and 4 different cheeses. The Super Cheesy has 6 different cheeses. The cost of t he meat toppings for each Mighty Meaty is $3, and the cost of the vegetable toppings is $2 fo r each Very Veggie. No more than $60 per day can be spent on these toppings. The cheese use d for the Mighty Meaty is $2 per pizza, the cheese for the Very Veggie is $4 per pizza, and the cheese for the Super Cheesy is $6 per pizza. No more than $480 per day can be spent on cheese. N o more than 80 pizzas can be made per day due to manpower and bake time. How many pizzas of each type should Delvecchio's pizza shop make in order to maximize revenue if the Might y Meaty sells for $15, the Very Veggie sells for $12, and the Super Cheesy sells for $12?

Cohort Study Design

Suppose that you have been hired by the UF student health services department to design a cohort study to assess the following hypothesis among UF students: Irregular sleep patterns increase the risk of headaches.

Be sure that your design addresses the following elements:

1. Refine the study hypothesis so that it is as specific as possible and contains all elements of a “good” hypothesis.
2. How will you identify and define the cases?
   • Are there any exclusion criteria that you would apply?
3. How will you sample from the underlying population for your “controls”?
   • Who will you select as controls?
   • How will you select them?

4. How will you define the exposure of interest?
   • How will you collect the information on exposure?
5. What other information do you want to know about participants that may be related to the exposure of interest and/or the outcome (potential confounders)? Of these, what will you be able to collect and what will you be unable to collect?
6. Which measures of disease frequency and association will you calculate?
7. What are the strengths and limitations of your study?
   • Which limitations could be removed by using a different study design?
8. What other information would you like to know to design this study?
9. there is no such data, this is just hypothetical study case that what we can do in this case? also there is another question on chegg but not answer in detail like HOW and WHAT