Use Stokes Theorem to evaluate S curl F ds. F(x, y, z)= e xy cos
Question:
Use Stokes Theorem to evaluate ∫∫S curl F · ds.
F(x, y, z)= exy cos zi + x2zj + xyk, S is the hemisphere x = √1 – y2 – z2, oriented in the direction of the positive x-axis
Data from Stokes Theorem
Let S be an oriented piecewise-smooth surface that is bounded by a simple, closed, piecewise-smooth boundary curve C with positive orientation. Let F be a vector field whose components have continuous partial derivatives on an open region in R3 that contains S. Then
Transcribed Image Text:
S₁ F • dr = ff S curl F. dS
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (1 review)
Let S be a smooth surface bounded by a boundary curve C wit...View the full answer
Answered By
Utsab mitra
I have the expertise to deliver these subjects to college and higher-level students. The services would involve only solving assignments, homework help, and others.
I have experience in delivering these subjects for the last 6 years on a freelancing basis in different companies around the globe. I am CMA certified and CGMA UK. I have professional experience of 18 years in the industry involved in the manufacturing company and IT implementation experience of over 12 years.
I have delivered this help to students effortlessly, which is essential to give the students a good grade in their studies.
3.50+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Use Stokes Theorem to evaluate S curl F ds.k F(x, y, z) = 2y cos zi + e x sin zj + xe y k, S is the hemisphere x 2 + y 2 + z 2 = 9, z 0, oriented upward Data from Stokes Theorem Let S be an...
-
Use Stokes Theorem to evaluate S curl F ds. F(x, y, z) = x 2 y 3 zi + sin(xyz)j + xyz k, S is the part of the cone y 2 = x 2 + z 2 that lies between the planes y = 0 and y = 3, oriented in the...
-
Use Stokes Theorem to evaluate S curl F ds. F(x, y, z) = x 2 z 2 i + y 2 z 2 j + xyz k, S is the part of the paraboloid z = x 2 + y 2 that lies inside the cylinder x 2 + y 2 = 4, oriented upward...
-
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 50 milligrams. You want to test this claim. During your tests, you find that a random sample of...
-
Sara Lee Corporation, a food Products Company headquartered in Chicago, Illinois, recently reported the following cash flow statement. Required Use the information from the statement of cash flows...
-
Robert Ramos (age 36) is a single taxpayer, living at 8765 Bay Dr., Monterey, CA 93940. His Social Security number is 976-23-5132. Roberts earnings and income tax withholding as the manager of a...
-
ERP and blockchain Blockchain provides an opportunity for companies to interact with other companies in a secure. transparent way. Using sources from the Internet, determine how a company would...
-
The Salinas Corporation has gathered the following data on its copy machine costs for the first eight months of the year. Required a. Prepare a scattergraph of the cost information and then choose a...
-
______________statistics consists of organizing and summarizing information collected, while _______________ statistics uses methods that generalize results obtained from a sample to the population...
-
Evaluate the line integral, where C is the given curve. c xe y dx, C is the arc of the curve x = e y from (1, 0) to (e, 1)
-
Find (a) The curl (b) The divergence of the vector field. F(x, y, z)= e xy sin z j + y tan 1 (x/z) k
-
Briefly describe what a meeting leader and participant should do before, during, and after a meeting.
-
Pingo Manufacturing Ltd imports electronic components and assembles them in a factory to make consumer gadgets which appeal to a younger market. They have traded successfully for many years because...
-
A group of 78 people enrolled in a weight-loss program that involved adhering to a special diet and to a daily exercise program. After six months, their mean weight loss was 25 pounds, with a sample...
-
When determining the number of degrees of freedom by hand with sample sizes n1 and n2, we choose the smaller of ___________________ and __________________ . In Exercises 5 and 6, fill in each blank...
-
Level 99.5%: x1 = 82.9, x2 = 64.1, s1 = 9.8, s2 = 6.2, n1 = 19, n2 = 10 In Exercises 914, construct the confidence interval for the difference 1 2 for the given level and values of x1 x2, s1, s2,...
-
Level 95%: x1 = 47.7, x2 = 42.6, s1 = 33.9, s2 = 17.6, n1 = 13, n2 = 19 In Exercises 914, construct the confidence interval for the difference 1 2 for the given level and values of x1 x2, s1, s2,...
-
One of the issues facing organizations is increasing diversity throughout an organization. One of the ways to evaluate an organizations success at increasing diversity is to compare the percentage of...
-
On average there are four traffic accidents in a city during one hour of rush-hour traffic. Use the Poisson distribution to calculate the probability that in one such hour there arc (a) No accidents...
-
Find the coordinates of the first inflection point of the Fresnel function S(x) that is to the right of the origin.
-
In problems, evaluate each integral. (a) (b) « cot2 (2θ) d θ (c) dt esos x sin x dix
-
Express the partial fraction decomposition of each rational function without computing the exact coefficients. For example (a) (3-4x2)/(2x+1)3 (b) (7x-41)/(x-1)2 (2-x)3 (c) (3x+1)/(x2 + x +10)2 (d)...
-
Code Sec. 409(p) prescribes that a "non-allocation year" generally means an ESOP plan year during which on any date disqualified persons own _________________ of the stock in the S corporation. a. 25...
-
You are bearish on D&K App. and decide to sell short 100 shares at the current market price of $22.80 per share, how high can the stock price of D&K App go before you get a margin call if the...
-
The requires investment companies to register with the Securities and Exchange Commission (SEC) and to fulfill certain disclosure requirements. a. Investment Company Act of 1940 b. Sarbanes-Oxley Act...
Study smarter with the SolutionInn App