Show that any vector field of the form F = ((x), g(y), h(z)) has a potential function.
Question:
Show that any vector field of the form F = (ƒ(x), g(y), h(z)) has a potential function. Assume that ƒ, g, and h are continuous.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 0% (1 review)
Let Fx Gy and Hz be antiderivatives of fx gy ...View the full answer
Answered By
JAPHETH KOGEI
Hi there. I'm here to assist you to score the highest marks on your assignments and homework. My areas of specialisation are:
Auditing, Financial Accounting, Macroeconomics, Monetary-economics, Business-administration, Advanced-accounting, Corporate Finance, Professional-accounting-ethics, Corporate governance, Financial-risk-analysis, Financial-budgeting, Corporate-social-responsibility, Statistics, Business management, logic, Critical thinking,
So, I look forward to helping you solve your academic problem.
I enjoy teaching and tutoring university and high school students. During my free time, I also read books on motivation, leadership, comedy, emotional intelligence, critical thinking, nature, human nature, innovation, persuasion, performance, negotiations, goals, power, time management, wealth, debates, sales, and finance. Additionally, I am a panellist on an FM radio program on Sunday mornings where we discuss current affairs.
I travel three times a year either to the USA, Europe and around Africa.
As a university student in the USA, I enjoyed interacting with people from different cultures and ethnic groups. Together with friends, we travelled widely in the USA and in Europe (UK, France, Denmark, Germany, Turkey, etc).
So, I look forward to tutoring you. I believe that it will be exciting to meet them.
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Show that any vector field of the form F(x, y, z) = f (x) i + g(y) j + h(z) k where f , g, h are differentiable functions, is irrotational.
-
Show that any vector field of the form F(x, y, z) = f (y, z) i + g(x, z) j + h(x, y) k is incompressible.
-
A central force is one of the form F = f(||r||)r, where f has a continuous derivative (expect possibly at ||r|| = 0). Show that the work done by such a force in moving an object around a closed path...
-
1-Kristen prefaces her speech by talking about her inability to save or invest money. For that reason, she does her speech on an online money management course and focuses on the skills she learned...
-
A 56-kg woman stands at C on the vintage step stool shown. Half the womans weight is carried by the legs shown. Determine the components of the force exerted at E on leg BE assuming that the bottom...
-
Time Value Deterioration. An options value declines over time, but it does not do so evenly. Explain what that means for option valuation.
-
Talias Tutus bought a new sewing machine for $40,000 that will be depreciated using the MACRS depreciation schedule for a 5-year recovery period. a. Find the depreciation charge each year. b. If the...
-
Highline Financial Services provides three categories of service to its clients. Managing partner Freddie Mack is getting ready to prepare financial and personnel hiring (or layoff) plans for the...
-
2. Given the limit order book below from TraderEx, if I were to submit a market order to sell 99 units, at what pricels) would my market order execute? X I g a? 5 3 Y X g X X 3. Compare and contrast...
-
What is the line integral of the constant function (x, y, z) = 10 over a curve C of length 5?
-
In this exercise, we show that the vector field F in Figure 15 is not conservative. Explain the following statements: (a) If a potential function for F exists, then the level curves of must be...
-
Peter lives for three periods. He is currently considering three alternative education-work options. He can start working immediately, earning $100,000 in period 1, $110,000 in period 2 (as his work...
-
March Inc. produces and sells one product.The budgeted (standard) cost for one unit follows: Budgeted Cost per unit of output Direct materials 5 kg @ $1.50 per kg Direct Labour 4 hrs @ $15.00 per...
-
On December 31, 2009, the stock of Alpha Associates was trading at $37.90. The following information is provided. Calculate Alpha's trailing and forward P/E ratio. Calculate the: a. trailing P/E...
-
Prompt: You have just been promoted to a middle-level manager at a Fortune 500 company. This promotion was a surprise; your boss decided to leave the company, and you were promoted to lead its most...
-
duff owes relatives $13,000 for college loans. find the required quarterly payment into a sinking fund if duff pays off the loan in 3 years and the interest rate is 8% per year compounded quarterly
-
Traditional costing systems are more suited to organisations which produce a Answer widelimited variety of products and Answer directindirect costs are a relatively small percentage of total costs....
-
The engineering costs and the number of machine setups for each month during the first half of the year at Decklever Company follow. Using the high/ low cost estimation method, determine the cost...
-
1. Following are information about Alhadaf Co. Cost incurred Inventory Purchases Sales Adverting expense Salary Expense Depreciation Beginning Inventory Ending Inventory Amount 118,000 350.000 90,000...
-
Solve the following problems. y'(t) = (2t 2 + 4)/t, y(1) = 2
-
Solve the following problems. dy/dx = 3 cos 2x + 2 sin 3x, y(/2) = 8
-
Find the general solution of the following equations. y'(t) = 3y - 4
-
Contingent Liabilities at Johnson & Johnson Values: Estimated Lawsuit Settlement: $5,000,000 Legal Costs Incurred: $1,000,000 Probability of Settlement: 70% Requirements: Apply the conservatism...
-
The balance sheet of XYZ Ltd. on December 31, 2023, is provided below: Item Amount ($) Accounts Payable 1,630,000 Notes Payable 1,610,000 Accrued Expenses 1,490,000 Total Current Liabilities ?...
-
Determine the cost of goods sold if a company's beginning inventory was $40,000, purchases during the period amounted to $150,000, and the ending inventory was valued at $50,000. Discuss the...
Study smarter with the SolutionInn App