Does Stokes Theorem say anything special about circulation in a field whose curl is zero? Give reasons
Question:
Does Stokes’ Theorem say anything special about circulation in a field whose curl is zero? Give reasons for your answer.
Transcribed Image Text:
THEOREM 6-Stokes' Theorem Let S be a piecewise smooth oriented surface having a piecewise smooth boundary curve C. Let F = Mi + Nj + Pk be a vector field whose components have continuous first partial derivatives on an open region containing S. Then the circulation of F around C in the direction counterclockwise with respect to the surface's unit normal vector n equals the integral of the curl vector field VX F over S: fF.dr = [[ S Counterclockwise circulation VXF ndo Curl integral (4)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (6 reviews)
Stokes Theorem relates the circulation of a vector field around a closed curve to the integral of ...View the full answer
Answered By
Isabel Seraspi
I have experience teaching math, science, and English to students of all ages. I have also worked as a tutor in a college setting, helping students with their homework and preparing them for exams.
I believe that tutoring is a great way to help students learn. It allows students to get one-on-one help with their studies, and it gives them the chance to ask questions and get immediate feedback. Tutoring can also be tailored to the individual needs of the student, which is why I believe it is so effective.
I have seen firsthand how tutoring can help students improve their grades and confidence. I have also seen how it can help students who are struggling with a particular subject. I believe that tutoring is a great way to help students learn and succeed in school.
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
-
Discuss the difference between absolute advantage and comparative advantage Which is more important in determining trade patterns Justify your answer
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
You are the audit partner at Preston & Associates and are responsible for the audits of the following three independent entities for the year ended 30 June 2020: 1. One of your clients, FFCs...
-
The following information is computed from Fast Food Chains annual report for 2006. 2006 2005 Current assets $ 2,731,020 $ 2,364,916 Property and equipment, net 10,960,286 8,516,833 Intangible...
-
Organizing and maintaining a database are more complicated than organizing and maintaining independent files because a database provides more data retrieval functions and performs more operations. A...
-
Edison Leasing leased high-tech electronic equipment to Manufacturers Southern on January 1, 2011. Edison purchased the equipment from International Machines at a cost of $112,080. Required: Prepare...
-
Under what circumstances would the use of a simple linear regression model be the most appropriate forecasting technique to use?
-
An important parameter in the design of gas absorbers is the ratio of the flow rate of the feed liquid to that of the feed gas. The lower the value of this ratio, the lower the cost of the solvent...
-
Halifax Manufacturing allows its customers to return merchandise for any reason up to 90 days after delivery and receive a credit to their accounts. All of Halifax's sales are for credit (no cash is...
-
The controller of Newstrom Software Inc. provides the following information as the basis for a statement of cash flows: Required: 1. Calculate the net cash provided (used) by operating activities. 2....
-
If F = Mi + Nj + Pk is a differentiable vector field, we define the notation F to mean For differentiable vector fields F 1 and F 2 , verify the following identities. M x + NO dy + po z
-
Use a parametrization to find the flux across the surface in the specified direction. Outward (normal away from the z-axis) through the cone z = x 2 + y 2 , 0 z 1 JsF.n do JJ S
-
Rica, a calendar year taxpayer, is an employee of the RST Partnership, which has a June 30 year-end. The partnership pays Rita a salary of $2,500 per month for the period January 1 through June 30,...
-
Around (1000) words: For legal reasons, you will not actually create business profiles and launch a campaign on different platforms. You will merely write the proposed plan and the expected results...
-
Marketing Management EXPLAIN THE FOLLOWING WITH EXAMPLES Developing Brand positioning Positioning Value positioning the competitive frame of reference category membership Examine competition from...
-
Lihue Lei Inc. is replacing one of its old machines and is conducting a lease or sell differential analysis. Lihue can lease out the old machine for $200,000. Costs of leasing the machine are...
-
Instructions I am Minister of trade in my Country. i supplied you all the following information during a trade fair which you all attended. That we have 16 manufacturers, producing a range of...
-
Spartan Corporation redeemed 25 percent of its shares for $3,000 on July 1 of this year, in a transaction that qualified as an exchange under 302(a). Spartan reported accumulated E&P at the beginning...
-
A $100,000 capital investment will produce annual profits of $20,000 for the first five years and $15,000 for the next five years. It will have no residual value. What is its IRR? Should it be...
-
Stephen Schor, an accountant in New York City, advised his client, Andre Romanelli, Inc., to open an account at J. P. Morgan Chase Bank, N.A., to obtain a favorable interest rate on a line of credit....
-
In Problems 4152, find the domain of each function. x + 1 g(x) = log5| X
-
Problems 3140. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus. Use a...
-
In Problems 4152, find the domain of each function. 1 g(x) = In(x - 5)
-
Mortgage registered at Land Titles Office (LTO) against Title to property. Purchaser/Owner (Debtor) has possession and Title to the property. Lender (Creditor) registers mortgage as an encumberance...
-
Directions: Please thoroughly Shepardize each of the following cites, and provide the following for each case listed below. Use Westlaw's KeyCite: 1) List any cases which invalidate the cited case....
-
Which entities are responsible for the development of cybersecurity policy? Defend your answer. It is an important skill to communicate concepts to non-technical decision-makers. What are some ways...
Study smarter with the SolutionInn App