In cylindrical coordinates, vector A is given as;

A = Aρρ + Aφφ + A_zz .

Vector A is a time-dependent function.

Find the components of d²A / dt² .

A wave in string of linear density 0.13 g/m is given by the equation y(x,t)=0.018 sin (5.64x-6.03 t) in SI units. Calculate the tension in the string.

When would you use FPC? Please list an example.

Remember, if we have a large, but finite population and we are taking a small sample of it, we need to use the FPC.

For example: let's say 1,000 students took this class in the last 3 years in all ways, i.e. on-line, in a traditional classroom during a normal semester, and during the summer terms. Let's say that since Finance majors have a lot more math in many of their courses, I would expect them to have higher grades. Let's say that there were 100 Finance majors that took the course. Should I use the FPC? Yes. The sample is small relative to the population.

Can you think of an example?

There are relatively few neurons in the brain. How would you describe the other cells in the brain? Thinking back to the days you studied tissues, if you had to classify glia or neuroglia cells as tissue other than nerve tissue, how would you classify them? Justify your answer.

List several social statuses you occupy. Which ones are ascribed, and which are achieved? What roles are you expected to play as a consequence of the positions you occupy? Minimum length is 200 words.

in general how do we construct our perception?

50mL of solution in which the analytical concentration of benzoic acid is 0.124 M is titrated with 0.261 M NaOH; if V_e is the volume needed to reach the endpoint, what is the pH at 0 Ve, 1/4 Ve, 1/2 Ve, Ve, and 1.212 Ve?

Hey guys,

I have my assignment due for Coding on next Friday. There were 2 parts of assignment, part 1 was about User Interface (CUI), File I/O, Software Functionality and others without GUI. This includes OOP. Anyways 2nd part of our assignment includes GUI And other advanced features that we have to implement on our previous program. I'm happy to send you the exact details of whats required for assignment 2. Anyways, I've done the first part, and All I'm asking is that would you still take $7.90 NZD because all that's need to be added is GUI. I have about 5 classes I think. So what do you think? My topic is Who Wants To Be A Millionaire! Basic millionaire code!

The Walton Toy Company manufactures a line of dolls and a sewing kit. Demand for the company’s products is increasing, and management requests assistance from you in determining an economical sales and production mix for the coming year. The company has provided the following data: Product Demand Next year (units) Selling Price per Unit Direct Materials Direct Labor Debbie 72,000 $ 18.00 $ 4.90 $ 4.05 Trish 64,000 $ 6.50 $ 1.80 $ 1.89 Sarah 57,000 $ 30.00 $ 9.74 $ 6.75 Mike 40,000 $ 15.00 $ 4.20 $ 4.95 Sewing kit 347,000 $ 10.20 $ 5.40 $ 1.44 The following additional information is available: The company’s plant has a capacity of 155,110 direct labor-hours per year on a single-shift basis. The company’s present employees and equipment can produce all five products. The direct labor rate of $9 per hour is expected to remain unchanged during the coming year. Fixed manufacturing costs total $605,000 per year. Variable overhead costs are $5 per direct labor-hour. All of the company’s nonmanufacturing costs are fixed. The company’s finished goods inventory is negligible and can be ignored. Required: 1. How many direct labor hours are used to manufacture one unit of each of the company’s five products? 2. How much variable overhead cost is incurred to manufacture one unit of each of the company’s five products? 3. What is the contribution margin per direct labor-hour for each of the company’s five products? 4. Assuming that direct labor-hours is the company’s constraining resource, what is the highest total contribution margin that the company can earn if it makes optimal use of its constrained resource? 5. Assuming that the company has made optimal use of its 155,110 direct labor-hours, what is the highest direct labor rate per hour that Walton Toy Company would be willing to pay for additional capacity (that is, for added direct labor time)?

What is the projected spending of health care as a percentage of GDP by 2040? How would this impact our economy?

What are the two elements of market failure most important and applicable to the study of cultural economics and especially to how access to some sites are priced and monitored?

There are 220 million motored vehicles in the USA, of which about 85% operating on gasoline-fired Otto engines. Gasoline can be assumed 100% octane (C8H18) with a heating value of 48,000 kJ/kg, specific gravity of 0.83, and price of $2.50/gallon. A typical vehicle uses 15% excess air in combustion, and is driven an average of 32 miles per day per vehicle, with an average fuel economy of 18 miles per gallon of gasoline. The averaged unburned Hydrocarbons, CO, and NOx, emissions amount to 0.3%, 0.05%, 0.05% of the exhaust gases respectively.

(a) Balance the combustion equation of C3H18 with 15% excess air, and fine the air-fuel ratio by mass.

(b) Estimate the total combustion air needed, carbon emission, and greenhouse gas CO2 generated from all gasoline engines of USA in Mton/year, and total sale of gasoline in USA in billion$/year.

(c) Estimate total emission of Pollutants: unburned HCs, CO, and NOx from mobile gasoline engines in USA per year.

. A photocopier company claims that the average time it takes its technicians to service its brand of photocopiers onsite is two hours. To test this claim, 30 service times are recorded. The sample mean of the service times was 2.4 hours and the sample standard deviation was 0.5 hours. For µ denoting the mean service time, the hypotheses to be tested are: H0 : µ = 2 versus H1 : µ ̸= 2.

(a) Using the fact that t29,0.975 = 2.045, calculate a 95% confidence interval for the mean service time assuming that service time is normally distributed.

(b) Does your interval provide evidence that the company’s claim is false? That is, do you reject H0? Explain.

(c) Write a simple statement that summarises your findings.

2. A quality control inspector is interested in comparing two concreting companies with respect to overall quality of their work. One measure of quality is whether or not the concrete that has been poured is at least 15 centimeters (cm) thick. The inspector has recorded details for jobs from both companies and is now interested in whether the companies differ with respect to this measure of quality. Let p1 denote the true proportion of times that Company 1 will fail to pour concrete at least 15 cm thick and similarly let p2 denote the proportion for Company 2. The data collected for Company 1 shows that out of 120 jobs measured, 14 of these were less than 15 cm thick. For Company 2, 21 jobs out of 85 resulted in concrete less than 15 cm thick.

(a) Carry out a hypothesis test comparing the two proportions by using the R function prop.test. From the R output find and report the following: i. The estimates to p1 and p2. ii. The approximate 95% confidence interval for p1 − p2. iii. The p-value for the test comparing p1 and p2.

(b) Using the p-value you reported above, can you reject that the proportions are equal at the α = 0.05 significance level? Explain.

(c) Does your confidence interval suggest that one company performs better than the other with respect to this measure of quality? If so, which company performs better and why? If not then clearly explain why this is the case.

(d) Provide a simple statement that summarises the findings you have reported above.

3. Suppose that the scientists are concerned with the growth of the orange trees in their area. Load the data called ‘Orange’ (the Excel copy is saved in datasets folder in LMS) in R. Throughout we will assume that the data is stored in R as the data frame Orange. This dataset consists of three variables; Soil (soil enzymes level) , age (days since 31/12/1968) and the circumference (diameter of the trunk of the tree).

(a) To visualize any linear relationship between the dependent (response) variable Circumference and independent (predictor) variables Soil and Age, create two separate (one for each predictor) scatter plots with a smooth line, utilizing the ‘scatter.smooth’ command.

(b) In order to check for outliers, produce three BoxPlots of the variables Age, Soil and Circumference, by dividing the graph area into three columns, using the command ‘mfrow’. 1 (c) Execute the following command to obtain least squares estimates and associated output in R. lm.model <- lm(Circumference ~ Age + Soil, data = Orange) summary(lm.model) Provide a copy of your results displayed by summary(lm.model).

(d) Create plots of the residual versus fits and the Q-Q plot of the standardised residuals. Do you think the residuals versus fits plot or the Q-Q plot of the residuals suggest that there are any linear regression model violations that we need to be concerned with? Justify your answer with reference to both of the plots. NOTE: Regardless of your answer to (d), for the remainder of this question please assume that there are no linear regression model violations. (e) Does the R output suggest that the regression model fits the data well? Explain. (f) What are the estimates of the coefficients for the Age and Soil explanatory variables? Interpret these estimated coefficients. (g) Let β1 denote the true coefficient for the Age explanatory variable and consider the hypotheses H0 : β1 = 0 versus H1 : β1 ̸= 0. Do you reject the null hypothesis at the α = 0.05 significance level? Explain. (h) Repeat (g), but this time for the coefficient for the Soil explanatory variable. You may denote this coefficient as β2. (i) Using the fact that t32,0.975 = 2.037, construct 95% confidence interval for β1. (j) For a soil enzymes level of 2 and age of 500, what is the estimated circumference measurement from your model? (k) For a soil enzymes level of 2 and age of 500 that you considered above, provide a 95% confidence interval and 95% prediction interval for the circumference of the tree. Provide a justification as to why these intervals are different (i.e. what are these intervals used for?).

Given that vector ?⃗ is 5.00 m at 37⁰ North of East, find vector ?⃗⃗ such that their sum is directed East and has a magnitude of 3.00 m. Give the result with respect to compass like how ?⃗ is specified, and with the angle less than or equal to 45⁰

The average molecular weight of a nucleotide (base + deoxyribose + 1 phosphate group) in DNA is 308g/mol of 308 Daltons (Da). This number is the average molecular weight of
A = 312.2 g/mol
G = 328.2 g/mol
C = 288.2 g/mol T = 303.2 g/mol
55

R-plasmid was used for the transformation experiment

a.What is the size of this plasmid (in kilo base pairs; kbp)? How many bases is this?
b. What is the molecular weight of one plasmid molecule?
c. You used 25μl of 1ng/μl plasmid DNA per transformation. How many grams of plasmid DNA
did you use? How many moles of plasmid DNA is that? How many molecules of plasmid DNA
is that?
d. Assuming each transformed cell pick up one plasmid molecules during the transformation
process, what percentage of DNA molecules successfully entered and replicated inside the
competent cells?