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.
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: 85% (7 reviews)
To find the counterclockwise circulation and outward flux of the vector field F x1y2i tan1yj around the curve C given by x2 y2 1 we can use Greens The...View the full answer
Answered By
Anik Kumar Bosu
I am expert in Maths, Physics, Chemistry and Biology. I also teach student from 3 years. Students becomes satisfied by my teaching. So, do not worry.
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
-
Use Greens Theorem to find the counterclockwise circulation and outward flux for the field F and curve C. C: The boundary of the region defined by the polar coordinate inequalities 1 r 2, 0 ....
-
Use Greens Theorem to find the counterclockwise circulation and outward flux for the field F and curve C. F = (x + e x sin y)i + (x + e x cos y)j C: The right-hand loop of the lemniscate r 2 = cos 2...
-
Use Greens Theorem to find the counterclockwise circulation and outward flux for the field F and curve C. THEOREM 5-Green's Theorem (Flux-Divergence or Normal Form) Let C be a piecewise smooth,...
-
The common stock of Fido Corporation was trading at $45 per share on October 15, 2010. A year later, on October 15, 2011, it was trading at $80 per share. On this date, Fidos board of directors...
-
Examine Note 20 to Shoppers' financial statements entitled Long-Term Debt and respond to the following questions: a. How much long-term debt did Shoppers have on December 31, 2011? How much of the...
-
Evaluate C F (r) dr for given F and C by the method that seems most suitable. Remember that if F is a force, the integral gives the work done in the displacement along C. Show details. F = [y cos...
-
How to amend a pleading once it is filed with the court?
-
Suppose that the government of Brazil took possession of the cacao farms of a chocolate factory owned by a U. S. firm. What rights would the U. S. factory have? What limits exist on those rights?
-
A) You buy a T-Bill on the 01/03/2010. It matures on 01/09/2010 and has a face value of R1000 with a discount rate of 6.5%. What is the price that you paid? B) You have a Canadian 270 day money...
-
A triage system has been proposed for the ER described in Exercise 3.4. Under the proposed triage plan, entering patients will be registered as before. They will then be quickly examined by a nurse...
-
Find the line integrals of F from (0, 0, 0) to (1, 1, 1) over each of the following paths in the accompanying figure. a. The straight-line path C 1 : r(t) = ti + tj + tk, 0 t 1 b. The curved path C...
-
What is a differential form? What does it mean for such a form to be exact? How do you test for exactness? Give examples.
-
The P-value for a hypothesis test is 0.06. For each of the following significance levels, decide whether the null hypothesis should be rejected. a. = 0.05 b. = 0.10 c. = 0.06
-
Brieflydescribe the three main concepts on which statistical thinking is based. 2.Brieflydescribe what is meant by random variation in statistical process control. 3. Briefly describe what is meant...
-
In a Las Vegas casino, an employee discovered a flaw in the accounting system. The accounts payable clerk discovered that he was able to change the names of vendors in the computer system to his...
-
On January 13, at the end of the second weekly pay period of the year, a company's payroll register showed that its 32 employees had earned $23,570 of sales salaries and $7,830 of office salaries....
-
Identify an example of the application of statistical process control in a business context for the manufacturing industry. Describe how statistical process control was used to improve process....
-
A company recently reported $9.7 million of net income. Its EBIT was $15.5 million, and its federal tax rate was 24% (ignore any possible state corporate taxes). What was its EBT? What was its Tax...
-
Use integration by parts, together with the techniques of this section, to evaluate the integral. ln(x2 - x + 2) dx
-
Use a calculator to evaluate the expression. Round your result to the nearest thousandth. V (32 + #)
-
In Problems 7 22 , solve each inequality. x 2 + 3x 10 > 0
-
In Problems 712, find the zeros of each quadratic function. What are the x-intercepts of the graph of the function? f (x) = x 2 + x 72
-
In Problems 7 22 , solve each inequality. x 2 3x 10 < 0
-
Describe an approach to decision-making when the environment is changing rapidly and when it is important to build consensus and develop needed resources before committing the entire corporation to a...
-
Edge Design Corp. purchased new equipment on June 1, 20X1, for $428,000 with an assumed residual value of $55,000. The equipment's useful life is estimated to be 8 years or 60,000 hours of use. The...
-
On July 1, Greddy Manufacturing loses a lawsuit defending one of its patents paying $230,000 in legal fees. Assume that after the July 1 entry is recorded the patents account has a carrying value of...
Study smarter with the SolutionInn App