I have having trouble with data table 4 and i would like someone to double check my work on the other tables.

NaHCO3(s) + HC2H3O2(aq) → C2H3O2Na(aq) +H2CO3(aq) H2CO3(aq)→ H2O(l) +CO2(g)

Note: 5 mL of 5% vinegar contains 0.25 mL of HC₂H₃O₂ with a density of 1.0 g/mL which equals 0.25 g HC₂H₃O₂.

Data Table 4

                          Limiting Reactant            Theoretical yield of CO₂(moles)    Theoretical yield of CO₂(g)

Reaction 1        NaHCO₂

Reaction 2        NaHCO₂

Reaction 3       HC₂H₃O₂

Reaction 4        HC₂H₃O₂

_{Data Table 2}

                          Volume of 5%            Mass of HC₂H₃O₂                                            Moles of HC₂H₃O₂

                          Vinegar (mL)

Reaction 1        5.0                                        0.10                                                      0.004

Reaction 2        5.0                                        0.20                                                      0.004

Reaction 3       5.0                                        0.35                                                     0.004

Reaction 4        5.0                                        0.50                                                     0.004

Data Table 1

  Mass of NaHCO₃(g)                        Moles of NaHCO₃

Reaction 1     0.10                                                      0.001

Reaction 2     0.20                                                      0.002

Reaction 3    0.35                                                     0.004

Reaction 4    0.50                                                     0.005

The construction department is planning to bid on a large project for the development of a new airport in Chicago area. The following table shows major activities, times, and sequence required:

1. *Draw the network diagram, using appropriate technology and the nomenclature that is used in the solved Exercise for this Chapter.
2. Determine the expected time (T_e) and the variance for each activity.
3. *Determine and show the early start, early finish, late start and late finish for each activity (use the nomenclature used in the solved Exercise).
4. Determine the critical path and the expected project completion time.
5. What is the probability that the project can be completed in:
   1. 25 months
   2. 30 months
6. There is a 85% chance that the project can be completed in X months or less. What is X?

*For problems A and C, the textbook focused on the Critical Path Method (AON Network/PERT Chart).

Solve the initial value problem.

(x^2 * D^2 +xD - 4i) * y = x^3, y(1) = -4/5, y'(1) = 93/5

Solve the following recurrences by assuming T(n) is constant for sufficiently small values of n and find time complexity

?(?) = ?(? − 1) + ? (?/2) + ?

?(?) = 4? (?/3) + ???(?)

?(?)=?(?−2)+ 1/ lg(?)

1. Assume you have the following jobs to execute with one processor:

The jobs are assumed to arrive at the same time. Using priority scheduling followed by FCFS, do the following:

1. Create a Gantt chart illustrating the execution of these processes.
2. What is the turnaround time for process p₁?
3. What is the average wait time for the processes?

The Conch Café, located in Gulf Shores, Alabama, features casual lunches with a great view of the Gulf of Mexico. To accommodate the increase in business during the summer vacation season, Fuzzy Conch, the owner, hires a large number of servers as seasonal help. When he interviews a prospective server, he would like to provide data on the amount a server can earn in tips. He believes that the amount of the bill and the number of diners are both related to the amount of the tip. He gathered the following sample information.

1. a-1. Develop a multiple regression equation with the amount of tips as the dependent variable and the amount of the bill and the number of diners as independent variables and complete the table. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

1. a-2. Write out the regression equation. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

1. a-3. How much does another diner add to the amount of the tips? (Round your answer to 2 decimal places.)

1. b-1. Complete the ANOVA table. (Leave no cells blank - be certain to enter "0" wherever required. Round "SS, MS" to 3 decimal places and "F" to 2 decimal places.)

1. b-2. What is your decision regarding the null-hypothesis?

1. c-1. Conduct an individual test on each of the variables. What is the decision rule at the 0.05 level of significance? (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

1. c-2. Which variable should be deleted?

4. Use the equation developed in part (c) to determine the coefficient of determination. (Round your answer to 2 decimal places.)

Which of the following combinations of quantum numbers do not represent permissible solutions of the Schrödinger equation for the electron in the hydrogen atom (i.e., which combination of quantum numbers is not allowed)?

Given f(x) = (x⁴ - 2)(x⁵ - 10x + 1)³

Find the definite integral of f(x) on the closed interval [0, 1].

1) 0.05

2) 204.75

3) 4095

4) None