Describe:

-The reasons why the turbulent kinetic energy dissipation rate terms require particular modeling close to the wall.

-The required boundary conditions for the turbulent kinetic energy equation

-The detailed required boundary conditions for the pressure equation.

Selected balance sheet account balances are: VIZQUEL COMPANY

December 31

2002 2001

Cash $ 200,000 $ 300,000

Accounts Payable 60,000 80,000

Accounts Receivable 180,000 140,000

Salaries Payable 12,000 6,000

Land 120,000 140,000

Merchandise Inventory 100,000 160,000

Prepaid Rent 50,000 45,000

Unearned Consulting Revenue 70,000 50,000

Income statement items for the year are:

Sales $800,000

Consulting Fees $200,000

Cost of Goods Sold 400,000

Salary Expense 90,000

Depreciation Expense 40,000

Rent Expense 100,000

1. Cash collections from customers during 2002 amounted to:

2. Cash received from consulting services during 2002 was:

3. Total cash collected amounted to:

4. Cash payments to suppliers for merchandise inventory during 2002 amounted to:

5. Cash payments for salary during 2002 amounted to:

6. Cash payments for rent during 2002 amounted to:

7. Cash payments for depreciation during 2002 amounted to:

8. Total cash paid for operating activities amounted to:

9. Cash from operating activities during 2002 is:

10. Net income for Vizquel Company for 2002 is:

A research group conducted a survey about church attendance. The survey respondents were asked about their church attendance and asked to indicate their age. The results are as follows:

Answer the following four questions. Use 5% level of significance throughout.

1.We use the sample data above to determine whether church attendance is independent of age. Calculate the value of your test statistic. (4 decimal places) (5)

2. What is the critical value of test statistic? (1)

3. What is your conclusion? Interpret in terms of the null and alternative hypothesis. (2)

4. Using the multiple comparison procedure, find out if there is a significant difference between age groups 20-29 and 30-39?

1.Describe the differences, if any, between laminar and turbulent boundary layers.

2.Describe the different sub-layers required to model turbulent boundary layers.

3.Discuss the reason(s) for a similar pattern between wall shear stress and heat transfer coefficient profiles.

4.Describe the reason(s) why both turbulent momentum and thermal boundary layers approaching each other.

5.Describe the reason(s) why the unsteady governing equation terms must be kept when dealing with turbulence

Solve Laplace's equation inside a rectangle 0 ≤ x ≤ L, 0 ≤ y ≤ H, with the following boundary conditions [Hint: Separate variables. If there are two homogeneous boundary conditions in y, let u(x,y) = h(x)∅(y), and if there are two homogeneous boundary conditions in x, let u(x,y) = ∅(x)h(y).]:

∂u/∂x(0,y) = 0

∂u/∂x(L,y) = 0

u(x,0) = 0

u(x,H) = f(x)

Since the computer hard drive was invented in 1956, a con- stantly increasing data storage capacity has been available at an ever-decreasing cost. Use the historical data of hard drive capacities and prices shown in Figure 3-29 (or download the Excel file named CH03Ex01). Modify the spreadsheet so that it includes a new column containing formulas that calculate a common measure of disk size (GB) and a second new column that computes the cost per GB for each year. (Recall 1 gigabyte = 1,024 megabytes; 1 terabyte = 1,024 gigabytes.) Now, create one line graph to show the cost per gigabyte from the period 1995 to 2016. Create a second line graph to show changes in the size of hard disks across the same period. (Tip: Use the “Hide” function to cover the columns you don’t need for each graph.) Write a brief summary of the trends you found. What factors have contributed to these trends? What are the implications of these trends? 1980 26 MB $5,000 1981 63 MB $2,895 1983 20 MB $3,495 1984 20 MB $2,399 1987 40 MB $1,799 1989 20 MB $899 1995 1.7 GB $1,499 1996 3.2 GB $469 1997 7.0 GB $670 1998 8.4 GB $382 1999 19.2 GB $512 2000 27.3 GB $375 2001 40 GB $238 2002 100 GB $230 2003 120 GB $168 2004 250 GB $250 2006 390 GB $106 2008 1 TB $200 2010 1.5 TB $220

(a) Use Excel, MegaStat, or MINITAB to fit three trends (linear, quadratic, exponential) to the time series. (A negative value should be indicated by a minus sign. Do not round the intermediate calculations. Round your final answers to 2 decimal places.)

(b) Use each of the three fitted trend equations to make numerical forecasts for the next 3 years. (Round the intermediate calculations to 2 decimal places and round your final answers to 1 decimal place.)

I am having issue predicting the future trendlines.I got 11407.7, 12433.4, and 13551.4 and these were incorrect. Can you please help me learn what I am doing wrong.

1. Use the data below to find the linear regression equation that best represents the given data and predict the revenue in 2013 (Copy data to Excel)

2. Then create Two new columns that represent the predication y =mx+b for each year and percent of growth for each year = (Revenue/Predication)*100

3. Use Excel to graph the linear model (x-axis years, y-axis revenue) and the linear equation of best fit.

1. Fill out the missing entry for prediction and percent of growth
2. Find the value of the linear correlation coefficient r.
3. Find the equation of the regression line, letting Number of years be the independent (x) variable.
4. Find the coefficient of determination.
5. Find the standard error of estimate s_e.

A) What is the cyclical deficit, and when is it appropriate to have such a deficit? Why?

B) How do automatic stabilizers, on both the expenditure and revenue sides of the budget, respond during a recession?

C) Use the table below to answer the following questions. The federal deficit fell from $1,300 billion in 2011 to $680 billion in 2013. How much of this change was due to the growing economy? How much of this change was the result of fiscal restraint ?