Find the function f (x,y) whose differential is df = (x + y) 1 dx + (x
Question:
Find the function f (x,y) whose differential is
df = (x + y)−1dx + (x + y)−1dy
and which has the value f(1,1) = 0. Do this by performing a line integral on a rectangular path from (1,1) to (x1,y1) where x1 > 0 and y1 > 0.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 52% (17 reviews)
Since the differential is exact We choose the path from ...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
-
The function f: X Y has an inverse function f -1: Y X if and only if f is one-to-one and onto.
-
(a) Evaluate the function f(x) = x2 - (2*/1000) for x = 1, 0.8, 0.6, 0.4, 0.2, 0.1, and 0.05, and guess the value of (b) Evaluate f(x) for x = 0.04, 0.02, 0.01, 0.005, 0.003, and 0.001. Guess again....
-
The general form of an exponential equation, y = abx, is convenient when you know the y-intercept. Start with f(0) = 30 and f(1) = 27. This painting, Inspiration Point (2000), by contemporary...
-
What is the advantage of using computing to simulate an automobile crash test as opposed to actually staging a crash?
-
The Wei Nan Company manufactures and sells personal organizers. The following are the operating data for the company for 2011 and 2012: There was no beginning inventory on January 1, 2011. The...
-
Use the human body system to illustrate the concepts of system decomposition and subsystem interdependency. Draw a hierarchical chart similar to the one in Figure and discuss theinterdependencies....
-
Find a case in California that discusses the hearsay exception. What did the court rule?
-
Quad Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of $2.9 million. The fixed asset will be depreciated straight-line to zero over its...
-
Q. # 7 Source: Stewart Ed. 8 A tank contains 5000 litres (L) of pure water. Brine that contains 30g of salt per liter of water is pumped into the tank at a rate of 25 L/min. The salt concentration...
-
Several years ago, Ann Dennis, Jill Edwards, Lee Lacy, and Sarah Ingram formed a partnership to* operate the Deli Sisters Cafe. Rerouting of bus lines caused declines in patronage to the extent that...
-
Find the function whose differential is df = cos (x) cos (y)dx sin (x) sin (y)dy and whose value at x = 0, y = 0 is 0.
-
A two-phase system contains both liquid and gaseouswater, so its equilibrium pressure is determined by the temperature. Calculate the cyclic integral of dw rev for the following process: The volume...
-
In the double-reduction gear train shown, shaft a is driven by a motor attached by a flexible coupling attached to the overhang. The motor provides a torque of 2500 lbf in at a speed of 1200 rpm....
-
What are the real or imaginary solutions of each polynomial equation? x4 - 40x2 +144 = 0
-
A cannonball with an initial height of 1.00 meter above the ground is fired from a cannon at an angle of 53 above the horizontal. The cannonball travels a horizontal distance of 90 meters to a 70...
-
A position is an opinion on an issue that can be supported with evidence and reasoning. For example, a position on coal might be "The United States should decrease its reliance on coal power." 2....
-
Give examples of the strengths and weaknesses inherent in using standardsfor planning, controlling, and decision making.How do standards relate to overall cost management?
-
Syntactic operations: English relative clauses For each of the following sentences: Bracket the relative clause Insert a caret (^) in the gap where the relative pronoun originated. Underscore the...
-
In problem, list the intercepts and test for symmetry with respect to the x-axis, the y-axis, and the origin. 2x = 3y 2
-
Solve for the equilibria of the following discrete-time dynamical systems Pr pt+1 = Pr+2.0(I-Pr)
-
What proportion of days would the woman be classified as hypertensive based on the preceding data? Another issue the doctor wants to study is what the hypertensive status of the patient usually is. A...
-
Develop a 95% CI for p based on your answer to Problem 6.99? A person would be classified as hypertensive overall if his or her probability of being hypertensive on an individual day (p) is 20% based...
-
Would the person be classified as hypertensive overall based on your answer to Problem 6.100? Why or why not? Explain your answer. A person would be classified as hypertensive overall if his or her...
-
A 0.8 liter of boiled water at 100C is poured into an adiabatic mug in an air-conditioned hotel room of 25C. An educational Stirling engine is placed onto the mug, whereby it receives the heat from...
-
During the month of February, Riverbed Corp\'s employees earned wages of $ 8 6 0 0 0 . Withholdings related to these wages were $ 6 5 7 9 for FICA, $ 1 5 6 2 0 for federal income tax, and $ 4 1 8 0...
-
Power Drive Corporation designs and produces a line of golf equipment and golf apparel. Power Drive has 1 0 0 , 0 0 0 shares of common stock outstanding as of the beginning of 2 0 2 4 . Power Drive...
Study smarter with the SolutionInn App