Use Greens Theorem to find the counterclockwise circulation and outward flux for the field F and curve
Question:
Use Green’s Theorem to find the counterclockwise circulation and outward flux for the field F and curve C.F = (x + y)i - (x2 + y2)j
C: The triangle bounded by y = 0, x = 1, and y = x
Transcribed Image Text:
THEOREM 5-Green's Theorem (Flux-Divergence or Normal Form) Let C be a piecewise smooth, simple closed curve enclosing a region R in the plane. Let F = Mi + Nj be a vector field with M and N having continuous first partial derivatives in an open region containing R. Then the outward flux of F across C equals the double integral of div F over the region R enclosed by C. = fr-nds-May- Outward flux - N dx = JI ( T ax R = aM ƏN dy Divergence integral dx dy (4)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 83% (6 reviews)
answer We begin by computing the curl of F curl F Qx Pyk 2xk Now we can use Greens Theorem C F dr D ...View the full answer
Answered By
Nikka Ella Clavecillas Udaundo
I have a degree in psychology from Moi University, and I have experience working as a tutor for students in both psychology and other subjects. I am passionate about helping students learn and reach their potential, and I firmly believe that everyone has the ability to succeed if they receive the right support and guidance. I am patient and adaptable, and I will work with each individual student to tailor my teaching methods to their needs and learning style. I am confident in my ability to help students improve their grades and reach their academic goals, and I am excited to work with a new group of students.
0.00
0 Reviews
10+ Question Solved
Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
Question Posted:
Students also viewed these Mathematics questions
-
Evaluate the surface integral. ls x ds, S is the surface y = x? + 4z, 0
-
Find the limit, if it exists, or show that the limit does not exist. x + y? lim (x. y)(0,0) x2 + y + 1 - 1
-
Evaluate the integrals in Problem. x* - x + 1 dx x - 1
-
Norman Freight purchased a building for $1,100,000 and depreciated it on a straight-line basis over a 30-year period. The estimated residual value was $140,000. After using the building for 15 years,...
-
You have been provided with the following alphabetical list of accounts for Thaxted Ltd. for 2017. Use the information to prepare an income statement for the year ended December 31, 2017, and balance...
-
Marco Company shows the following costs for three jobs worked on in April. Job 306 Job 307 Job 308 Balances on March 31 Direct materials used (in March) Direct labor used (in March) Overhead applied...
-
How much weight is added to a rotor by using two full -inchdiameter welding rods to attach a final weight?
-
A portion of the costs incurred by business organizations is designated as direct labor cost. As used in practice, the term direct labor cost has a wide variety of meanings. Unless the meaning...
-
1) What is React/ReactJS? 2)Advantages of React/ReactJS ? 3)What is JSX ? 4)What is React Fragment ? 5) What is React Components? 6)Difference between function component vs class component? 7)Write a...
-
According to the American Time Use Survey, Americans watched television each weekday for an average of 151 minutes in 2011 (Time, July 11, 2011). Suppose that this result is true for the 2011...
-
Use Greens Theorem to find the counterclockwise circulation and outward flux for the field F and curve C. F = (xy + y 2 )i + (x - y)j THEOREM 5-Green's Theorem (Flux-Divergence or Normal Form) Let C...
-
Find a parametrization of the surface. The portion of the sphere x 2 + y 2 + z 2 = 3 between the planes z = 3/2 and z = -3/2
-
Given the definitions of direct and indirect competitors, provide an example of each for a product of your choosing.
-
What is the role played by currency pass-through in exports pricing for managing operating/economic exposure?
-
Identify the key parameters that determine the value of a currency option.
-
Why does the net value of a cross-currency swap fluctuate continuously?
-
Why are cross-currency swaps compared to series of long-dated forward contracts?
-
How can contractual and financial hedging be harnessed to reduce operating exposure to currency risk? What are the limitations of this approach?
-
In this problem we will use Monte Carlo to simulate the behavior of the martingale St/Pt, with Pt as numeraire. Let x0 = S0/P0(0, T). Simulate the process xt+h= (1+ hZt+h)xt Let h be approximately 1...
-
Fill in each blank so that the resulting statement is true. A solution to a system of linear equations in two variables is an ordered pair that__________ .
-
In Problems 15 and 16, solve each absolute value inequality. Express your answer using set-builder notation or interval notation. Graph the solution set. |x + 31 4 <2
-
In Problems 15 and 16, solve each absolute value inequality. Express your answer using set-builder notation or interval notation. Graph the solution set. 12x + 314 3
-
In Problems 712, find the zeros of each quadratic function. What are the x-intercepts of the graph of the function? f (x) = 2x 2 + x + 1
-
what is Culture and it's related things?
-
Program for Calculate Compound Interest when principal, rate and number of periods are given.
-
Program for find distance between two Coordinate points of (x1,y1), (x2,y2)?
Study smarter with the SolutionInn App