Find the indicated derivative using implicit differentiation. HINT [See Example 1.]

x²y − y² = 8; 

dy

dx

 

 

Find the indicated derivative using implicit differentiation. HINT [See Example 1.]

xe^y − ye^x = 5; 

dy

dx

 

 

Find the exact location of all the relative and absolute extrema of the function. HINT [See Example 1.]

g(t) = 

1

4

t⁴ − 

2

3

t³ + 

1

2

t² with domain (−∞, +∞)

g has       at 

(t, y) = 

 

 

.

 

Find the exact location of all the relative and absolute extrema of the function. HINT [See Example 1.]

g(t) = e^t − t with domain [−1, 1]

g has       at 

(t, y) = 

 

 

.

g has       at 

(t, y) = 

 

 

.

g has       at 

(t, y) = 

 

 

.

1. Static Budget vs. Flexible Budget

   The production supervisor of the Machining Department for Nell Company agreed to the following monthly static budget for the upcoming year:

   Nell Company Machining Department Monthly Production Budget
   Wages	$311,000
   Utilities	16,000
   Depreciation	27,000
   Total	$354,000

   The actual amount spent and the actual units produced in the first three months of 2016 in the Machining Department were as follows:

   	Amount Spent		Units Produced
   January	$334,000		68,000
   February	319,000		62,000
   March	305,000		56,000

   The Machining Department supervisor has been very pleased with this performance, since actual expenditures have been less than the monthly budget. However, the plant manager believes that the budget should not remain fixed for every month but should “flex” or adjust to the volume of work that is produced in the Machining Department. Additional budget information for the Machining Department is as follows:

   Wages per hour	$21
   Utility cost per direct labor hour	$1.1
   Direct labor hours per unit	0.2
   Planned monthly unit production	74,000

   a.  Prepare a flexible budget for the actual units produced for January, February, and March in the Machining Department. Assume depreciation is a fixed cost. Enter all amounts as positive numbers. If required, use per unit amounts carried out to two decimal places.

   Nell Company-Machining Department
   Flexible Production Budget
   For the Three Months Ending March 31, 2016
   	January	February	March
   Units of production	NaN more Check My Work uses remaining. Previous Next https://assignmentsavvy.com/wp-content/uploads/2025/05/Untitled-200-x-100-px-400-x-100-px-2.png 0 0 Peter https://assignmentsavvy.com/wp-content/uploads/2025/05/Untitled-200-x-100-px-400-x-100-px-2.png Peter2023-10-13 21:29:312023-10-13 21:29:31Math Help MAT 510 Week 7 Homework Assignment 6 October 13, 2023/in cat2 /by Peter The data in the table below is from a study conducted by an insurance company to determine the effect of changing the process by which insurance claims are approved. The goal was to improve policyholder satisfaction by speeding up the process and eliminating some non-value-added approval steps in the process. The response measured was the average time required to approve and mail all claims initiated in a week. The new procedure was tested for 12 weeks, and the results were compared to the process performance for the 12 weeks prior to instituting the change.               Table: Insurance Claim Approval Times (days)    Old Process     New Process     Week Elapsed Time     Week Elapsed Time 1 31.7   13 24 2 27   14 25.8 3 33.8   15 31 4 30   16 23.5 5 32.5   17 28.5 6 33.5   18 25.6 7 38.2   19 28.7 8 37.5   20 27.4 9 29   21 28.5 10 31.3   22 25.2 11 38.6   23 24.5 12 39.3   24 23.5   Use the date in table above and answer the following questions in the space provided below: What was the average effect of the process change? Did the process average increase or decrease and by how much? Analyze the data using the regression model y = b0 + b1x, where y = time to approve and mail a claim (weekly average), x = 0 for the old process, and x = 1 for the new process. How does this model measure the effect of the process change? How much did the process performance change on the average? (Hint: Compare the values of b1 and the average of new process performance minus the average of the performance of the old process.) https://assignmentsavvy.com/wp-content/uploads/2025/05/Untitled-200-x-100-px-400-x-100-px-2.png 0 0 Peter https://assignmentsavvy.com/wp-content/uploads/2025/05/Untitled-200-x-100-px-400-x-100-px-2.png Peter2023-10-13 21:14:462023-10-13 21:14:46MAT 510 Week 7 Homework Assignment 6 QUESTION 1 1. The type of loan for which consumers do not pay the full amount at the time of purchase, but pay a portion of the amount owed in regular payments, is called consumer _________. contingent uncertain credit rule 10 points QUESTION 2 October 13, 2023/in cat2 /by Peter QUESTION 1 1.The type of loan for which consumers do not pay the full amount at the time of purchase, but pay a portion of the amount owed in regular payments, is called consumer _________. contingent uncertain credit rule 10 points    QUESTION 2 1.Loans with regular payments are called _________________ loans. future present installment value 10 points    QUESTION 3 1._________ installment loans are loans in which the amount borrowed plus interest is repaid in a specified number of equal payments. Open-end Auto Charge Closed-end 10 points    QUESTION 4 1.______________ loans are loans in which there is no fixed number of payments. Close-ended Terminal Nonterminal Open-ended 10 points    QUESTION 5 1.The _______ price is the price you pay if you pay the full amount at the time of sale. cash credit financed installment 10 points    QUESTION 6 1.The _______ payment is a partial payment of the cash price paid at the time of sale. cash down installment credit 10 points    QUESTION 7 1.The _________________ is the total amount you pay in regular payments to pay off the balance of the loan. down payment selling price amount financed terminal price 10 points    QUESTION 8 1.The installment _______ is the amount you pay each period, including interest, to pay off the loan. loan interest payment tax 10 points    QUESTION 9 1.The ________ price is the total paid, including interest, to pay off an installment loan. tax financed nominal installment 10 points    QUESTION 10 1.The interest associated with an installment loan is part of the charges referred to as _______charges or carrying charges. gifted finance latent taxable 10 points    Click Save and Submit to save and submit. Click Save All Answers to save all answers.   https://assignmentsavvy.com/wp-content/uploads/2025/05/Untitled-200-x-100-px-400-x-100-px-2.png 0 0 Peter https://assignmentsavvy.com/wp-content/uploads/2025/05/Untitled-200-x-100-px-400-x-100-px-2.png Peter2023-10-13 21:09:392023-10-13 21:09:39QUESTION 1 1. The type of loan for which consumers do not pay the full amount at the time of purchase, but pay a portion of the amount owed in regular payments, is called consumer _________. contingent uncertain credit rule 10 points QUESTION 2 MAT 510 FINAL EXAM October 13, 2023/in cat2 /by Peter Question 1 4 out of 4 points       Understanding variation is important because variation:             Question 2 4 out of 4 points       The Statistical Thinking Strategy illustrated in Figure 2.14 provides a graphic of the overall approach to driving improvement through statistical thinking. Which of the following is a key principle illustrated in this specific graph?             Question 3 4 out of 4 points       Improving the quality of process measurements is:             Question 4 4 out of 4 points       The Hidden Factory is:             Question 5 4 out of 4 points       Which type of variation was critical to resolving the realized revenue case study?             Question 6 4 out of 4 points       A process is said to be capable if:             Question 7 4 out of 4 points       The histogram below showing ages of credit card holders displays what type of distribution?               Question 8 4 out of 4 points       In evaluating data on our process outputs, four characteristics we might investigate are: central tendency, variation, shape of distribution, and stability. Which of the following tools would be most helpful to determine stability of the process?             Question 9 4 out of 4 points       Non-random and unpredictable patterns on a control chart indicate:             Question 10 4 out of 4 points       A main purpose of a control chart is to:             Question 11 4 out of 4 points       Models based on subject matter fundamentals (theory) are generally better than statistical models for:             Question 12 4 out of 4 points       A statistic that is used to indicate too much correlation between the predictors in a regression analysis is called the:             Question 13 4 out of 4 points       George Box tells us “all models are wrong but some are useful”. By this comment he means:             Question 14 4 out of 4 points       Tips for building useful models include:             Question 15 4 out of 4 points       The best way to evaluate the validity of a statistical model is:             Question 16 4 out of 4 points       Given the plot below, what might you suspect about factors A and B?               Question 17 4 out of 4 points       The following table shows data on the effect of Machine Pressure on product hardness.   What statistical test should be used to test the effect of pressure on average hardness?   100MPa 200MPa 6.2 11.1 7.3 10.3 8.2 13 8.3 14.3 7.5 11.2 6.5 14.7 9.6 10 9 9.4             Question 18 4 out of 4 points       What should one consider when analyzing the results of an experiment?             Question 19 4 out of 4 points       In every experiment there is experimental error.  Which of the following statements is true?             Question 20 4 out of 4 points       A 32 experiment means that we are experimenting with:             Question 21 4 out of 4 points       We are conducting a poll for the mayoral election of a medium sized city, and found with one week before the election that the Democrat candidate is leading with 52% planning to vote for her, 46% planning to vote for the Republican, with 2% not sure. The 95% confidence interval for proportion planning to vote for the Democrat is +/- 3%. Based on this information, and making reasonable assumptions, which of the following statements is correct?             Question 22 4 out of 4 points       For which of the following scenarios am I most likely to utilize a Chi-squared test?             Question 23 4 out of 4 points       After running an ANOVA comparing the average years of experience between five different job classifications, we obtained a p value of .02. Which of the following would be a reasonable conclusion concerning the population in this case?             Question 24 4 out of 4 points       Which of the following could be considered a prediction interval?             Question 25 4 out of 4 points       What would happen (other things equal) to a confidence interval if you calculated a 99 percent confidence interval rather than a 95 percent confidence interval?               https://assignmentsavvy.com/wp-content/uploads/2025/05/Untitled-200-x-100-px-400-x-100-px-2.png 0 0 Peter https://assignmentsavvy.com/wp-content/uploads/2025/05/Untitled-200-x-100-px-400-x-100-px-2.png Peter2023-10-13 20:59:382023-10-13 20:59:38MAT 510 FINAL EXAM Regression Problems 17. A doctor wished to determine whether a relation exists between the height of a female and her weight. She obtained the heights and weights of 10 females aged 18 to 24. Let height be the independent variable x, measured in inches, a October 13, 2023/in cat2 /by Peter Regression Problems 17. A doctor wished to determine whether a relation exists between the height of a female and her weight. She obtained the heights and weights of 10 females aged 18 to 24. Let height be the independent variable x, measured in inches, and weight be the dependent variable y, measured in pounds. x 60 61 62 62 64 65 65 67 68 68 y 100 105 110 112 115 120 124 130 132 137 a. Use a graphing utility to draw a scatter plot. Record the plot as accurately as possible on your paper. 2 Fall 2003 – O’Brien b. Use the regression capabilities of your graphing utility to find the equation of the line that best fits the data. Include the correlation coefficient with your equation. Round to three decimal places. c. Use your equation to predict the weight of a woman whose height is 66 inches. Show all of your work.     https://assignmentsavvy.com/wp-content/uploads/2025/05/Untitled-200-x-100-px-400-x-100-px-2.png 0 0 Peter https://assignmentsavvy.com/wp-content/uploads/2025/05/Untitled-200-x-100-px-400-x-100-px-2.png Peter2023-10-13 20:42:002023-10-13 20:42:00Regression Problems 17. A doctor wished to determine whether a relation exists between the height of a female and her weight. She obtained the heights and weights of 10 females aged 18 to 24. Let height be the independent variable x, measured in inches, a Math help October 13, 2023/in cat2 /by Peter Assignment 2: Use and Misuse of Percentages One of the concepts you encountered in the readings this module was how to recognize the use and misuse of information presented in the form of percentages. In this discussion assignment, you will conduct an Internet search to find several examples of the use of percentages. These can be examples of percentages used in advertising claims, reported results from a study, or information shared by a government agency. In a minimum of 200 words, post to the Discussion Area your response to the following: Find an example of two of the following types of usage of percentages. Use of percentages as a fraction. Remember that this type will use the word of to imply multiplication. Explain whether this was an effective way to represent this information within the context of the example you found. Use of percentages to describe change. In the example you find, determine whether the reported percentage demonstrated absolute or relative change. Show your work. Explain whether this was an effective way to represent this information within the context of the example you found. Use of percentages for comparison. In the example you find, determine whether the reported percentage demonstrated absolute or relative change. Show your work. Explain whether this was an effective way to represent this information within the context of the example you found. Now, find an example of two of the following misuses of percentages. Use of a shifting reference value. In this situation, the base values are changing as differing values of percentages are applied as increases, decreases, or both. Percentage increases, decreases, or both do not have a cumulative effect. Be sure to demonstrate why your example fits this category. Use of percentage to represent less than nothing. Look for an example where you are seeing a reduction of some percentage greater than 100. Be sure to demonstrate why your example fits this category. Situation where the average percentage is reported. In general, you can not average percentages. The result isn’t representative of what actually has occurred in the situation in question. Be sure to demonstrate why your example fits this category.   Examine each example that the student provided. Did these examples sufficiently demonstrate the ways that percentages are used and misused? Explain. What have you learned regarding the necessity of carefully examining the percentages reported in advertising, news media, government reports, etc.?   https://assignmentsavvy.com/wp-content/uploads/2025/05/Untitled-200-x-100-px-400-x-100-px-2.png 0 0 Peter https://assignmentsavvy.com/wp-content/uploads/2025/05/Untitled-200-x-100-px-400-x-100-px-2.png Peter2023-10-13 20:32:182023-10-13 20:32:18Math help QNT/351 WEEK 2 Descriptive Statistics – Real Estate Data Part 1 October 13, 2023/in cat2 /by Peter earch the Internet for a realty site. Select a hometown of someone on your team in the search section on the website you have chosen. When all of the listings populate, make sure that the sort criteria reads “New Listings.” This ensures that you are searching a random cross-section of listings rather than favoring one price range. Review the new listings that populate. Create an Excel® spreadsheet with 4 columns of the first 100 single family homes listed, not including condominiums or townhouses. Include each of the following categories in the spreadsheet: Property address, listing price, square footage, and number of bedrooms. Prepare a frequency distribution for listing prices, including relative frequencies.  Create your frequency distribution as identified in Chapters 2, 3, and 4.  Generate a histogram from your frequency distribution, again making sure you are consistent with the rules discussed in Chapter 2.  Summarize your findings from your frequency distribution and your histogram. Create either a pie chart or a bar graph of the number of bedrooms in your 100 homes.  Evaluate your visual aid. Calculate measures of central tendency for both listing prices and square footages. Those measures are mean, median, and mode.  Determine the quartiles for both listing prices and square footages. Calculate measures of dispersion for both listing prices and square footages. Those measures are range, variance, and standard deviation.  Apply Chebyshev’s Theorem and the Empirical Rule to both sets of data.  Compare your findings with your actual data.  Conclude whether Chebyshev’s or Empirical Rule is more accurate with each of listing prices and square footages. Format your assignment consistent with APA guidelines. Click the Assignment Files tab to submit your assignment. https://assignmentsavvy.com/wp-content/uploads/2025/05/Untitled-200-x-100-px-400-x-100-px-2.png 0 0 Peter https://assignmentsavvy.com/wp-content/uploads/2025/05/Untitled-200-x-100-px-400-x-100-px-2.png Peter2023-10-13 20:23:272023-10-13 20:23:27QNT/351 WEEK 2 Descriptive Statistics – Real Estate Data Part 1 Disclaimer Disclaimer We do not encourage or condone any form of academic dishonesty or plagiarism. All clients are advised to use the delivered content responsibly and in accordance with their educational institution’s policies. By using our services, you agree to our Terms and Conditions. Quick links How we Work Our Services Contact Us About Us We Accept CONTACT US   Email:support@assignmentsavvy.com  TEL:+1 (646) 212-2161   Scroll to top