Separation of Variables:

Let v(t) be the velocity, in knots per hour, of a vessel at time t, t = 0. After the second engine is turned on, its velocity satisfies the differential equation ??/??=3?+22, with initial condition v (0) = 2.
First use separation of variables to find an expression for v in terms of t. Secondly, f the vessel cruising speed is 25 knots per hour, how long will the vessel take to reach this speed?

A copper, Cu(s), electrode is immersed in a solution that is 1.00 M in ammonia, NH3, and 1.00 M in tetraamminecopper(II), [Cu(NH3)4]^{2+}. If a standard hydrogen electrode is used as the cathode, the cell potential, Ecell, is found to be 0.075 V at 298 K.
Half reaction of Cu = .337 V
Half reaction of H = .000 V

Based on the cell potential, what is the concentration of Cu^{2+} in this solution?

[Cu2+]____ with units


PLEASE HELP ME!!

Using the following reduction potentials:

I₂(s) + 2e^- <---> 2I^-(aq) E⁰ = 0.535 V

I₂ (aq) +2e^- <---> 2I^-(aq) E⁰ = 0.620 V

I₃^-(aq) + 2e^- <---> 3I^-(aq) E⁰ = 0.535 V

a) Calculate the equilibrium constant for I₂(aq) + I^-(aq) <---> I₃^-(aq)

b) Calculate the equilibrium constant for I₂(s) + I^-(aq) <---> I₃^-(aq)

c) Calculate the solubility (g/L) of I₂(s) in water.

A voltaic cell utilizes the following reaction and operates at 298 K. 3 Ce4+(aq) + Cr(s) 3 Ce3+(aq) + Cr3+(aq)

(a) What is the emf of this cell under standard conditions? V

(b) What is the emf of this cell when [Ce4+] = 2.0 M, [Ce3+] = 0.014 M, and [Cr3+] = 0.011 M? V

(c) What is the emf of the cell when [Ce4+] = 0.56 M, [Ce3+] = 0.82 M, and [Cr3+] = 1.3 M? V

Students enter the bathroom according to a Poisson process at a rate of 7.5 arrivals per minute.

1. What is the probability that exactly 46 students enter between 3:00 and 3:05?

2. Given that 6 students enter the bathroom between 4:00 and 4:01, what is the probability that exactly 36 students enter between 4:00 and 4:07?

3. Each student entering the bathroom has a .15 probability of wearing a hoodie, independent of other students. What is the probability that exactly 10 students wearing a hoodie enter the bathroom between 4: and 4:07?

Introduction- reasons for proposal and writer's qualifications

Background- IDs problem and goals/purposes of project

Proposal- plan for solving the problem

Staffing- credentials/expertise of project leaders

Budget- list of project costs

Authorization request- request for approval or authorization of proposal

Letter or memo of transmittal

Abstract and/or executive summary

Title page

Table of contents

List of figures

Appendix

Introduction

Body

Conclusions

Recommendations

Title page

Letter or memo of transmittal

Table of contents

List of figures

Executive summar

Body of Report

Introduction

Background

Problem or purpose

Significance and scope

Sources and methods

Organization

Discussion of findings

Summary, conclusions, recommendations

Supplementary Parts of a Formal Report

Footnotes or endnotes

Works Cited, References, or Bibliography

Appendix

Read the following scenario describing a research project, and then write a short criticism of this project. You should clearly identify at least four aspects of the project which you believe are incorrect or poor. These may relate to the research question, the experimental design, the analysis and reporting, and/or any ethical or academic misconduct issues. For each criticism which you identify, clearly describe the problem and state how it should have been addressed to improve the quality of the research.

A company providing on-line teaching software claims that students who are on-line
students achieve better results on learning programming languages than on campus students. The company has developed a hypothesis based on this claim. The company chose one university to conduct research to test this hypothesis. It applied for research ethics clearance and at the same time included both on-line and on campus students to participate in this experiment.
At the end of semester, all students undertook the same test on programming languages. The company used final scores of all students to test its hypothesis. The company has published a report in which it concludes “the average score of 67 for on-line students is higher than the average score of 65.5 for on campus students, and so we can conclude that on-line students achieve better results in learning programming languages than on campus students. Therefore, this teaching method should be used for all students in future.”

Read the following scenario describing a research project, and then write a short criticism of this project. You should clearly identify at least four aspects of the project which you believe are incorrect or poor. These may relate to the research question, the experimental design, the analysis and reporting, and/or any ethical or academic misconduct issues. For each criticism which you identify, clearly describe the problem and state how it should have been addressed to improve the quality of the research.

A company providing on-line teaching software claims that students who are on-line
students achieve better results on learning programming languages than on campus students. The company has developed a hypothesis based on this claim. The company chose one university to conduct research to test this hypothesis. It applied for research ethics clearance and at the same time included both on-line and on campus students to participate in this experiment.

At the end of semester, all students undertook the same paper on programming languages. The company used final scores of all students to test its hypothesis. The company has published a report in which it concludes “the average score of 67 for on-line students is higher than the average score of 65.5 for on campus students, and so we can conclude that on-line students achieve better results in learning programming languages than on campus students. Therefore, this teaching method should be used for all students in future.”

Which of the following scenarios would it be appropriate to use a normal approximation for the sampling distribution of the sample proportion?

Select one:

A researcher wishes to find the probability that more than 60% of a sample of undergraduate students from UNC will be female. She samples the first 42 students that walk into the gym on Monday morning. The population proportion of undergraduate females at UNC is known to be 60.1%.

A researcher wishes to find the probability that less than 5% of a sample of undergraduate students from Appalachian State University will be between the ages of 25 and 34. He randomly samples 50 undergraduate students from the student database. The proportion of undergraduates between the ages of 25 and 34 is 5.3%.

A grad student at NC state wants to know how likely it is that a group of students would be made up of more than 27% graduate students. She will randomly select 38 students and ask them if they are a graduate student or an undergraduate student. The population proportion of grad students at NC state is 26.6%.

A full-time student at Fayetteville State University wants to know how likely it is that a group of students would be made up of less than 70% full-time students. She will ask 30 people that she sees parking in the parking deck if they are full-time or part-time. The population of full-time students at Fayetteville State is known to be 72%.

Read the following scenario describing a research project, and then write a short criticism of this project. You should clearly identify at least four aspects of the project which you believe are incorrect or poor. These may relate to the research question, the experimental design, the analysis and reporting, and/or any ethical or academic misconduct issues. For each criticism which you identify, clearly describe the problem and state how it should have been addressed to improve the quality of the research.

A company providing on-line teaching software claims that students who are on-line students achieve better results on learning programming languages than on campus students. The company has developed a hypothesis based on this claim. The company chose one university to conduct research to test this hypothesis. It applied for research ethics clearance and at the same time included both on-line and on campus students to participate in this experiment.

At the end of semester, all students undertook the same assignment on programming languages. The company used final scores of all students to test its hypothesis. The company has published a report in which it concludes “the average score of 67 for online students is higher than the average score of 65.5 for on campus students, and so we can conclude that on-line students achieve better results in learning programming languages than on campus students. Therefore, this teaching method should be used for all students in future.”