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 = (y2 - x2)i + (x2 + y2)j
C: The triangle bounded by y = 0, x = 3, 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: 66% (3 reviews)
To find the counterclockwise circulation and outward flux for the vector field F y2 x2i x2 y2j around the triangle bounded by y 0 x 3 and y x we can a...View the full answer
Answered By
Mary Boke
I have teached the student upto class 12th as well as my fellow mates.I have a good command in engineering,maths and science.I scored 90+ marks in 10th and 12th in maths.
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
-
Determine whether f is continuous at c. x + 3 f(x) c = 3
-
Use Greens Theorem to find the counterclockwise circulation and outward flux for the field F and curve C. F = (x + y)i - (x 2 + y 2 )j C: The triangle bounded by y = 0, x = 1, and y = x THEOREM...
-
Use Greens Theorem to find the counterclockwise circulation and outward flux for the field F and curve C. F = (x 2 + 4y)i + (x + y 2 )j C: The square bounded by x = 0, x = 1, y = 0, y = 1 THEOREM...
-
A marketing researcher wants to estimate the mean amount spent per year ($) on a web site by membership member shoppers. Suppose a random sample of 150 membership member shoppers who recently made a...
-
Hikaru Sulu owns and operates a small carpet cleaning business. During May, he had the following activity: i. Mr. Sulu charged customers $10,800 for cleaning carpets during May. He collected $8,500...
-
Harvin Companys budgeted prices for direct materials, direct manufacturing labor, and direct marketing (distribution) labor per attach case are $ 37, $ 9, and $ 13, respectively. The president is...
-
What performance measure would you consider most important for McDonald's? For Chevrolet?
-
Since its inception, Eco Plastics Company has been revolutionizing plastic and trying to do its part to save the environment. Ecos founder, Marion Cosby, developed a biodegradable plastic that her...
-
(5) A small maintenance project consists of the following jobs whose precedence relationships are given below: Job 1-2 1-3 2-3 2-5 3-4 Immediate Predecessor 15 15 3 5 8 8 Activity 3-6 4-5 4-6 5-6 6-7...
-
The Project is for implementing an ERP Project for South African Airlines and it is to be executed in Johannesburg. The Project involves following parameters: The Budget is US$ 1,00,000,00 The Time...
-
Let n be the outer unit normal (normal away from the origin) of the parabolic shell and let Find the value of S: 4x + y + z = 4, y = 0,
-
Integrate the given function over the given surface. F(x, y, z) = z - x, over the cone z = x 2 + y 2 , 0 z 1
-
A semicircular arched back heading 14 ft (4.3 m) wide and 17 ft (5.2 m) high is driven due north. Two joints are present; both strike due north. Set 1 dips 60 east; Set 2 dips 60 west. No other data...
-
Suppose that a union and a firm bargain over wages and the firm unilaterally determines the level of employment. a. Illustrate the combination of wages and employment that will maximize the union's...
-
Mollie earns $ 6 1 4 each week working her full time job. Her employer has a 1 5 . 4 % tax deduction on all monies earned each week. Calculate the tax deduction Mollie paid for that week. Round the...
-
Hope Electronics Shop had net sales of $280,000 last year, with a cost of goods sold of $173,600 and total other expenses of $76,200. Fixed expenses were $67,100. Hope expects that these costs...
-
Would the amount paid for postage be classified as an asset, a liability, capital, revenue, or an expense?
-
If a storm has a wind speed of 135 km/h and 1 km/h = 0.621 mph =0.540 knots, what is the wind speed in mph and knots? Show yourwork.
-
List and describe four common structural inhibitors of teamwork in organizations.
-
Diamond Walker sells homemade knit scarves for $25 each at local craft shows. Her contribution margin ratio is 60%. Currently, the craft show entrance fees cost Diamond $1,500 per year. The craft...
-
In Problems 1744, find the real solutions, if any, of each equation. x 3 2
-
In Problems 1744, find the real solutions, if any, of each equation. x 2 1
-
The price p (in dollars) and the quantity x sold of a certain product satisfy the demand equation x = 5p + 100. (a) Find a model that expresses the revenue R as a function of p. (b) What is the...
-
3. Draw both the keyword tree and suffix tree to store the following keywords: AAAAT, AAAATT, AAGGG, ACCCC, and TTTTT. [3 points]
-
2. Draw both the keyword tree and suffix tree of the text "TGCAGAT". By threading the pattern "G" through the suffix tree show that "G" exists twice in the text at positions 2, and 5. [3 points]
-
6. In class, we generated digits of using a Taylor series for tan (z). There are better ways! Here are three other series that could be used: Madhava's representation: Newton's: Ramanujan's: T 1 = 22...
Study smarter with the SolutionInn App