Recall from Section 14.3 that a function g is called harmonic on D if it satisfies Laplaces
Question:
Recall from Section 14.3 that a function g is called harmonic on D if it satisfies Laplace’s equation, that is, ∇2g = 0 on D. Use Green’s first identity (with the same hypotheses as in Exercise 33) to show that if g is harmonic on D, then ∮CDngds = 0. Here Dng is the normal derivative of t defined in Exercise 33.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (12 reviews)
Let fx y 1 Then Vf 0 and Greens firs...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
-
If f R[a, b] and c R, we define g on [a + c, b + c] by g(y) := f(y - c). Prove that g R[a + c, b + c] and that b+ca+c g = ba f . The function g is called the c-translate of f.
-
A function of two variables that satisfies Laplace's Equation, Is said be harmonic. Show that the functions defined in Problems 1 and 2 are harmonic functions. 1. ((x, y) = x3 y - xy3 2. ((x, y) =...
-
A pendulum consists of a mass, called a bob, that is affixed to the end of a string of length L (see Figure 6.24). When the bob is moved from its rest position and released, it swings back and forth....
-
Capital Inc. has prepared the operating budget for the first quarter of 2015. They forecast sales of $50,000 in January, $60,000 in February, and $70,000 in March. Variable and fixed expenses are as...
-
Steam enters a heat exchanger at 5 MPa, and 500C and leaves at 250C. Cooling water enters the heat exchanger at 500 kPa, and 25C and leaves at 80C. Determine the ratio of the mass flow rate of steam...
-
The coach in Exercise 2 found a 95% confidence interval for the slope of his regression line. Recall that he is trying to understand how the number of goals scored is related to shots taken....
-
Some college professors make bound lecture notes available to their classes in an effort to improve teachinp effectiveness. Marketing Educational Review (Fall 1994) published a study of business...
-
Texon Co. manufactures and sells three products: product 1, product 2, and product 3. Their unit sales prices are product 1, $40; product 2, $30; and product 3, $14. The per unit variable costs to...
-
Suppose ACMEs stock price is now $23.65. In the next three months, it will rise to $75.68. If the three-month risk-free interest rate is 3.27%, the current value of a three-month put option with an...
-
Assume an accounting professor at the University of Texas devotes 60% of her time to teaching, 30% of her time to research and writing, and 10% of her time to service activities such as committee...
-
Use Greens first identity (Exercise 33) to prove Greens second identity: where D and C satisfy the hypotheses of Greens Theorem and the appropriate partial derivatives of f and g exist and are...
-
Use Greens first identity to show that if f is harmonic on D, and if f (x, y) = 0 on the boundary curve C, then (Assume the same hypotheses as inExercise 33.) |Vf l dA = 0. D
-
The Mattoon Corporation has 1,000 shares of $100, 8 percent cumulative preferred stock outstanding and 20,000 shares of $1 par value common stock outstanding. In the company's first three years of...
-
The following information about the payroll for the week ended December 30 was obtained from the records of Saine Co.: Salaries: Sales salaries Deductions: $180,000 Income tax withheld $65,296...
-
You have just been hired as the chief executive officer (CEO) in a medium-sized organization. The organization is not suffering financially, but neither is it doing as well as it could do. This is...
-
The following is the selling price and cost information about three joint products: X Y Z Anticipated production 1 2 , 0 0 0 lbs . 8 , 0 0 0 lbs . 7 , 0 0 0 lbs . Selling price / lb . at split - off...
-
calculate the maximum bending compressive stress of the following section under NEGATIVE bending moment of 216KN.m. 216mm 416mm 316mm 115mm
-
Need assistance with the following forms: 1040 Schedule 1 Schedule 2 Schedule C Schedule SE Form 4562 Form 8995 Appendix B, CP B-3 Christian Everland (SS number 412-34-5670) is single and resides at...
-
For the following exercises, find exact solutions on the interval [0,2). Look for opportunities to use trigonometric identities. 8cos 2 = 3 2cos
-
Which property determines whether a control is available to the user during run time? a. Available b. Enabled c. Unavailable d. Disabled
-
Suppose the following functions are solutions of some differential equation. Graph these as functions of time and as phase-plane trajectories for 0 t 2. Mark the position at t = 0, t = 1, and t =...
-
The model in Section 5.5, Exercise 34. For the above problem, add direction arrows to the phase-plane.
-
The model in Section 5.5, Exercise 35. For the above problem, add direction arrows to the phase-plane.
-
Which of the following statements is true? Financial measures tend to be lag indicators that report on the results of past actions. LA profit center is responsible for generating revenue, but it is...
-
Andretti Company has a single product called a Dak. The company normally produces and sells 8 0 , 0 0 0 Daks each year at a selling price of $ 5 6 per unit. The company s unit costs at this level of...
-
What are the major characteristics of plant assets? Choose one category of PP&E (land, land improvements, buildings or equipment) and describe the costs that may be capitalized with this asset.
Study smarter with the SolutionInn App