To make a phrase/words, solve the 18 application of derivatives below.  Then replace each numbered blank with the letter corresponding to the answer for that problem. Show all solutions on the answers given below.

"   __ __ __ __ __ __ __       __ __ __ __      __ __ __ __ __ __ __      __ __ __ __ __      __ __ __ __ __"       

"__ __ __ __ __ __ __      __ __      __      __ __ __ __ __ __ __      __ __ __ __ __      __ __ __ ."     

Derivative Application Problems:      

1.  Find the equation of the line normal to the curve  f(x) = x³ – 3x²  at the point (1, -2).          

2.  Find the equation of the line tangent to the curve  x² y – x = y³ – 8  at the point where x = 0.          

3.  Determine the point(s) of inflection of  f(x) = x³ – 5x² + 3x + 6.         

4.  Determine the relative minimum point(s) of  f(x) = x⁴ – 4x³.        

5.  A particle moves along a line according to the law s = 2t³ – 9t² + 12t – 4, where t≥0 .  Determine the total distance traveled between t = 0 and t = 4.             

6.  A particle moves along a line according to the law s = t⁴ – 4t³, where t≥0.    Determine the total distance traveled between t = 0 and t = 4.        

7.  If one leg, AB, of a right triangle increases at the rate of  2 inches per second, while the other   leg, AC,  decreases at 3 inches per second, determine how fast the hypotenuse is   changing (in feet per second) when AB = 6 feet and AC = 8 feet.     

8.  The diameter and height of a paper cup in the shape of a cone are both 4 inches, and water is leaking   out at the rate of ½ cubic inch per second.  Determine the rate (in inches per second) at which  the water level is dropping when the diameter of the surface is 2 inches.     

9.  For what value of y is the tangent to the curve  y² – xy + 9 = 0 vertical?        

10.  For what value of  k  is the line  y = 3x + k tangent to the curve  y = x³ ?        

11.  Determine the slopes of the two tangents that can be drawn from the point (3, 5) to the parabola    y = x² .              

12.  Determine the area of the largest rectangle that can be drawn with one side along the x-axis and  

two vertices on the curve  y = e^-x2

13.  A tangent drawn to the parabola  y = 4 – x²  at the point (1, 3)  forms a right triangle with the   coordinate axes.  What is the area of this triangle?         

14.  If the cylinder of largest possible volume is inscribed in a given sphere, determine the ratio of the   volume of the sphere to that of the cylinder.

15.  Determine the first quadrant point on the curve  y²x = 18 which is closest to the point  (2, 0).     

16.  Two cars are traveling along perpendicular roads, car A at 40 mph, car B at 60 mph.  At noon when   car A reaches the intersection, car B is 90 miles away, and moving toward it.  At 1PM, what is   the rate, in miles per hour, at which the distance between the cars is changing?

Pick one of the four and risk by telling us what you believe one rule is critical for founders. Why is it critical? Could you be a successful founder without it? Why or why not

1: There aren't any records interior your constructing, so get outside In our enjoy its miles very a difficult enjoy to herald practice. If you begin a business enterprise or a brand new mission you would really like to create. Actually, you're so satisfied that your new products or services are something your ability consumer needs, it's miles boom marketplace you're getting into and all of the marketplace studies reviews are verifying this. The best aspect this is lacking is your product. So the best aspect you want to do is create the product. And then… Nobody desires to shop for your product or as a minimum your income is a long way underneath your estimations. It is sort of well-known so what you want to do. Get out of the construction and communicate for your ability customers. Preferable earlier than you created any product or maybe a Minimum Viable Product. Do it your self as a founder, do now no longer delegate this client improvement for your personnel or to outside specialists. Employees and specialists will now no longer inform you of the difficult remarks your ability customers supply you.

2: Pair client improvement with Agile improvement In rule 1, you discovered to get out the construction. Do not begin any advent of a product earlier than you realize what to create. Less is more. But is you realize what to create, then do it agile. Not the best agile software program improvement (scrum) however contain the software program improvement into the agile client improvement. Make as many as feasible releases (as defined in contentious deploying with the aid of using Eric Ries) and check it with your (ability) customers.

Rule three: Failure is an indispensable a part of the search Creating new services or products inside a brand new business enterprise way many failures. You are satisfied to understand what your consumer desires however the consumer does now no longer need to shop for. It is failure however it isn't always so horrific because it seems like. It became a test that failed. It is gaining knowledge. The mission is to hold the gaining knowledge of the cycle as brief as feasible, use as much less as feasible assets and hold the time as brief as feasible. Less is more.

4: Make non-stop iterations and pivots It is already referred to in rule three and earlier than. Iterate, create experiments, analyze, create new experiments all inside restricted time and assets. Pivot all of the time until you reached the product marketplace healthy. If you attain product marketplace healthy then use all of your coins and assets to scale the enterprise.

Joe operates a business that locates and purchases specialized assets for clients, among other activities. Joe uses the accrual method of accounting but he doesn’t keep any significant inventories of the specialized assets that he sells. Joe reported the following financial information for his business activities during year 0. Determine the effect of each of the following transactions on the taxable business income. Required: Joe has signed a contract to sell gadgets to the city. The contract provides that sales of gadgets are dependent upon a test sample of gadgets operating successfully. In December, Joe delivers $12,950 worth of gadgets to the city that will be tested in March. Joe purchased the gadgets especially for this contract and paid $9,250. Joe paid $255 for entertaining a visiting out-of-town client. The client didn’t discuss business with Joe during this visit, but Joe wants to maintain good relations to encourage additional business next year. On November 1, Joe paid $550 for premiums providing for $55,000 of “key man” insurance on the life of Joe’s accountant over the next 12 months. At the end of year 0, Joe’s business reports $11,250 of accounts receivable. Based upon past experience, Joe believes that at least $2,450 of his new receivables will be uncollectible. In December of year 0, Joe rented equipment to complete a large job. Joe paid $5,250 in December because the rental agency required a minimum rental of three months ($1,750 per month). Joe completed the job before year-end, but he returned the equipment at the end of the lease. Joe hired a new sales representative as an employee and sent her to Dallas for a week to contact prospective out-of-state clients. Joe ended up reimbursing his employee $450 for airfare, $500 for lodging, and $400 for meals (Joe provided adequate documentation to substantiate the business purpose for the meals). Joe requires the employee to account for all expenditures in order to be reimbursed. Joe uses his BMW (a personal auto) to travel to and from his residence to his factory. However, he switches to a business vehicle if he needs to travel after he reaches the factory. Last month, the business vehicle broke down and he was forced to use the BMW both to travel to and from the factory and to visit work sites. He drove 195 miles visiting work sites and 76 miles driving to and from the factory from his home. Joe uses the standard mileage rate to determine his auto-related business expenses. Joe paid a visit to his parents in Dallas over the Christmas holidays. While he was in the city, Joe spent $125 to attend a half-day business symposium. Joe paid $350 for airfare, $110 for meals during the symposium, and $65 on cab fare to the symposium.

Gallatin Carpet Cleaning is a small, family-owned business operating out of Bozeman, Montana. For its services, the company has always charged a flat fee per hundred square feet of carpet cleaned. The current fee is $28 per hundred square feet. However, there is some question about whether the company is actually making any money on jobs for some customers—particularly those located on remote ranches that require considerable travel time. The owner’s daughter, home for the summer from college, has suggested investigating this question using activity-based costing. After some discussion, a simple system consisting of four activity cost pools seemed to be adequate. The activity cost pools and their activity measures appear below:

The total cost of operating the company for the year is $430,000, which includes the following costs:

Resource consumption is distributed across the activities as follows:

Distribution of Resource Consumption Across Activities

Job support consists of receiving calls from potential customers at the home office, scheduling jobs, billing, resolving issues, and so on.

Required:

1. Prepare the first-stage allocation of costs to the activity cost pools.

2. Compute the activity rates for the activity cost pools. (Round your answers to 2 decimal places.)

3. The company recently completed a 5 hundred square foot carpet-cleaning job at the Flying N ranch—a 75-mile round-trip journey from the company’s offices in Bozeman. Compute the cost of this job using the activity-based costing system. (Round your intermediate calculations and final answer to 2 decimal places.)

4. The revenue from the Flying N ranch was $140 (5 hundred square feet at $28 per hundred square feet). Prepare a report showing the margin from this job. (Round your intermediate calculations and final answers to 2 decimal places.)

I need summary of this article

Biking Motives

The previous studies focus on how choices by weak and strong identifiers differ, without exploring the potential role of situational variability in determining the motivations of high identifiers. However, as highlighted in the theory section, strong identifiers may consume for non-identity reasons, in which case they may display less resistance to automation. Study 5 examines this possibility using a bike purchase scenario that manipulates the motive for buying the bike.

Method

Two hundred U.S. residents on MTurk (99 women, Mage ¼ 33.0 years, SD ¼ 11.69) were randomly assigned to either an identity motive or a non-identity motive condition in a between-participants design. All participants first read: “Imagine you are a keen bike rider. Although your skills are far from professional, you are very serious about biking. You are proud of yourself as a bike rider. You spend most of your free time biking and you enjoy biking. You often visit a bicycle forum to exchange information on different types of bicycles with other members on the forum.” Participants in the identity motive condition then read: “Lately you are considering buying a new bicycle for weekend excursions. These excursions feature a few different courses of approximately 10 miles. During these activities, you can enjoy the cycling activities and enhance your skills as a cyclist. You want to minimize your cycling time that is not part of the excursion (e.g., getting to the start).” In the non-identity motive condition, participants instead read: “Lately you are considering buying a new bicycle for commuting to work. The distance between your office and your apartment is approximately 10 miles. You live in a city with congested traffic and riding a bicycle would save you a lot of time to get to the office. You want to minimize the time of the ride to facilitate your commute.” Then participants read the same bike purchase scenario as in Study 2 and indicated whether they would like to have the free automated feature on their bike. We predict that participants in the identity motive condition are less likely to choose the free automated feature than those in the non-identity motive condition.

Results and Discussion

Participants choose the free automated feature more in the nonidentity motive condition than in the identity motive condition (80% vs. 57%; w2 (1) ¼ 12.94, p < .001). These results are consistent with our prediction that strong identifiers are less likely to prefer automation when the primary motive of consumption relates to their identity. Moreover, the intrinsic enjoyment of a task is should not change much across situations, so these findings join Studies 2 and 4 in suggesting that greater task enjoyment among high identifiers is not necessary for the key predicted effect to occur.

USE THIS INFORMATION AND IMPLEMENT IT ONA FORM 104 TAX YEAR 2017 FORM

THOMAS AND VANESSA KILEY ARE MARRIED. THEY ALWAYS FILE A JOINT TAX RETURN. THEY HAVE ONE SON, RYAN, AGE 14. RYAN IS A DEPENDENT AND SO IS TOM'S ELDERLY MOTHER, ANN KILEY. TOM IS AN ACCOUNTANT AND VANESSA IS SELFEMPLOYED. SHE PROVIDES DATA PROCESSING SERVICES FOR PHYSICIAN CLIENTS. TOM IS 39, VANESSA IS 41, AND ANN IS 66.

THEIR ADDRESS IS 982 WILLIS AVENUE PAWTUCKET, RI 02860.

THOMAS      035-22-6363         RYAN        358-66-1970

VANESSA       037-40-1040          ANN          040-23-7450

INCOME:

THOMAS' SALARY:

TAXABLE WAGES                                                            81,000

FEDERAL INCOME TAX WITHHELD                               6,800

STATE INCOME TAX WITHHELD                                     2,800

VANESSA RECEIVED LIFE INSURANCE PROCEEDS FROM HER DECEASED BROTHER.       50,000

CAPITAL GAIN DISTRIBUTIONS FROM VANGUARD FUNDS.                                          7,600

INTEREST INCOME FROM WEBSTER BANK.                                                                     850

INTEREST INCOME FROM MUNICIPAL BONDS.                                                2,100

DIVIDEND INCOME E*TRADE FUNDS. THE PORTION OF QUALIFIED DIVIDENDS IS                  1,800

$1,200.

GROSS RECEIPTS FROM VANESSA’S DATA PROCESSING BUSINESS. SHE USES THE CASH BASIS. THE BUSINESS BEGAN 1/1/2011.                                                                                                          19,500

VANESSA RECEIVES ALIMONY FROM HER EX-HUSBAND.                                                 6,000

DEDUCTIONS:

THESE ARE VANESSA’S DATA PROCESSING BUSINESS EXPNSES                                     800

PENALTIES PAID TO THE STATE BUSINESS REGULATION DEPARTMENT                      1,200

BUSINESS INSURANCE                                           1,100

OFFICE SUPPLIES                                                          750

TELEPHONE EQUIPMENT RENTAL                                                    1,500

INTERNET                                                                                              900

BUSINESS LICENSE                                                                                600

INTEREST EXPENSE PAID ON THE BUSINESS CREDIT CARD               440

VANESSA USES HER CAR FOR BUSINESS PURPOSES. HER TOTAL MILES FOR THE YEAR IS 8,500 AND THE BUSINESS MILES IS 1,495. SHE USES THE STANDARD MILEAGE METHOD.

VANESSA USES ONE ROOM OF HER HOME AS A HOME OFFICE TO PERFORM THE DATA ENTRY. THE TOTAL SQUARE FOOTAGE OF THE HOME IS 2,400. THE BUSINESS AREA IS 200 SQUARE FEET. SHE USES THE SIMPLIFIED METHOD.

THOMAS PAID STUDENT LOAN INTEREST.

ITEMIZED DEDUCTIONS:

REAL ESTATE TAXES                                                                 3,700

AUTOMIBILE TAXES                                                                300

HOME MORTGAGE INTEREST ON $425,000 MORTGAGE                  10,500

CASH CHARITABLE CONTRIBUTIONS                                                       5,200

THOMAS’ UNREIMBURSED EMPLOYEE EXPENSES                                    1,200

TAX PREPERATION FEES                                                                        300

OUT-OF-POCKET MEDICAL EXPENSES PAID                                            2,400

STATE INCOME TAX BALANCE DUE FOR 2016 PAID IN 2017                      600

VANESSA CONTRIBUTED TO A ROTH IRA.                                               4,000

VANESSA MADE FOUR QUARTERLY ESTIMATED TAX PAYMENTS OF $250.                            1,000

FOREIGN TAXES PAID ON THE E*TRADE MUTUAL FUNDS. THE KILEYS ALWAYS TAKE THEM AS A TAX CREDIT.                                                                                     200

OTHER INFORMATION:

THE FAMILY WAS COVERED BY HEALTH INSURANCE ALL YEAR. THOMAS’ EMPLOYER PAYS THE HEALTH INSURANCE PREMIUMS FOR THE FAMILY. ANN IS COVERED BY MEDICARE INSURANCE.

THE KILEYS WANT THEIR TAX REFUND, IF ANY, TO BE DEPOSITED DIRECTLY INTO THEIR CHEICKING ACCOUNT. THE ROUTING NUMBER IS 011500120 AND THE ACCOUNT NUMBER IS 000654550.

Happy Valley is the only available camping area in Rural County. It is owned by the county, which allows free access to campers. Almost all visitors to Happy Valley come from the six towns in the county. Rural County is considering leasing Happy Valley for logging, which would require that it be closed to campers. Before approving the lease, the county executive would like to know the magnitude of annual benefits that campers would forgo if Happy Valley were to be closed to the public.

An analyst for the county has collected data for a travel cost study to estimate the benefits of Happy Valley camping. On five randomly selected days, he recorded the license plates of vehicles parked overnight in the Happy Valley lot. With cooperation from the state motor vehicle department, he was able to find the town of residence of the owner of each vehicle. He also observed a sample of vehicles from which he estimated that each vehicle carried 3.2 persons (1.6 adults), on average.

In order to translate the distance traveled into an estimate of the cost campers faced in using Happy Valley, the analyst made the following assumptions. First, the average operating cost of vehicles is $0.36 per mile. Second, the average speed on county highways is 50 miles per hour. Third, the opportunity cost to adults of travel time is 40 percent of their wage rate; it is zero for children. Fourth, adult campers have the average county wage rate of $9.25 per hour. The analyst has asked you to help him use this information to estimate the annual benefits accruing to Happy Valley campers. Specifically, assist with the following tasks.

1. Calculate the time spent travelling from each town for the round-trip (Hint: Time = Distance/Speed). Note that the data posted on distance is for only one way.
2. Calculate the opportunity cost of time spent travelling for adults per vehicle from each town for the roundtrip.
3. Calculate the operating vehicle cost from each town for the round-trip.
4. Calculate the total cost of travelling per vehicle from each town (Hint: add the values you got from (b) and (c))
5. Calculate the total cost of travelling per vehicle per person (Hint: divide the values you derived from (d) by

3.2 for each town).

6. For the six observations, regress visit rate on Total Cost of travelling per person (TC) derived from (e) and a constant.

As part of a study designed to compare hybrid and similarly equipped conventional vehicles, Consumer Reports tested a variety of classes of hybrid and all-gas model cars and sport utility vehicles (SUVs) were tested. The following data show the miles-per-gallon rating Consumer Reports obtained for two hybrid small cars, two hybrid midsize cars, two hybrid small SUVs, and two hybrid midsize SUVs; also shown are the miles per gallon obtained for eight similarly equipped conventional models.

At the  level of significance, test for significant effects due to class, type, and interaction.

Assume that Factor A is Class of vehicle tested and Factor B is Type.

The p-value for Factor A is - Select your answer from the following: less than .01, between .01 and .025, between .025 and .05, between .05 and .10, or greater than .10

What is your conclusion with respect to Factor A?

- Select your answer from the following - Factor A is not significant OR Factor A is significant

The pvalue for Factor B is - Select your answer from the following - less than .01, between .01 and .025, between .025 and .05, between .05 and .10, OR greater than .10

What is your conclusion with respect to Factor B?

- Select your answer from the following - Factor B is not significant OR Factor B is significant

The p-value for the interaction of factors A and B is - Select your answer - less than .01, between .01 and .025, between .025 and .05, between .05 and .10 OR greater than .10

What is your conclusion with respect to the interaction of Factors A and B?

- Select your answer - The interaction of factors A and B is not significant OR The interaction of factors A and B is significant

You may need to use the appropriate technology to answer this question.

As part of a study designed to compare hybrid and similarly equipped conventional vehicles, a group tested a variety of classes of hybrid and all-gas model cars and sport utility vehicles (SUVs). Suppose the following data show the miles-per-gallon rating obtained for two hybrid small cars, two hybrid midsize cars, two hybrid small SUVs, and two hybrid midsize SUVs; also shown are the miles per gallon obtained for eight similarly equipped conventional models.

At the α = 0.05 level of significance, test for significant effects due to class, type, and interaction.

Find the value of the test statistic for class. (Round your answer to two decimal places.)

Find the p-value for class. (Round your answer to three decimal places.)

p-value =

State your conclusion about class.

Because the p-value ≤ α = 0.05, class is not significant.

Because the p-value > α = 0.05, class is significant.    

Because the p-value > α = 0.05, class is not significant.

Because the p-value ≤ α = 0.05, class is significant.

Find the value of the test statistic for type. (Round your answer to two decimal places.)

Find the p-value for type. (Round your answer to three decimal places.)

p-value =

State your conclusion about type.

Because the p-value ≤ α = 0.05, type is not significant.

Because the p-value ≤ α = 0.05, type is significant.    

Because the p-value > α = 0.05, type is not significant.

Because the p-value > α = 0.05, type is significant.

Find the value of the test statistic for interaction between class and type. (Round your answer to two decimal places.)

Find the p-value for interaction between class and type. (Round your answer to three decimal places.)

p-value =

State your conclusion about interaction between class and type.

Because the p-value ≤ α = 0.05, interaction between class and type is significant.

Because the p-value > α = 0.05, interaction between class and type is not significant.

Because the p-value ≤ α = 0.05, interaction between class and type is not significant.

Because the p-value > α = 0.05, interaction between class and type is significant.