Verify that the line integral and the surface integral of Stokes Theorem are equal for the following
Question:
Verify that the line integral and the surface integral of Stokes’ Theorem are equal for the following vector fields, surfaces S, and closed curves C. Assume that C has counterclockwise orientation and S has a consistent orientation.
Transcribed Image Text:
F = (y, -x, 10); S is the upper half of the sphere x² + y² + z² = 1 and C is the circle x² + y² = 1 in the xy-plane.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (3 reviews)
To verify the equality of the line integral and the surface integral using Stokes Theorem we need to evaluate both integrals and compare their results Given The vector field F y x 10 The surface S whi...View the full answer
Answered By
Diana Muriuki
As an online math tutor, I have several years of hands-on experience working with students of all ages and skill levels. I hold a Bachelor's degree in Mathematics and a Master's degree in Education. Additionally, I have completed multiple training courses in online teaching and tutoring methods.
Throughout my career, I have worked with students in both individual and group settings, including classroom teaching, after-school tutoring, and online instruction. I am proficient in teaching a wide range of math topics, from basic arithmetic to advanced calculus and statistics.
One of my greatest strengths as a tutor is my ability to adapt my teaching style to meet the unique needs and learning styles of each individual student. I understand that every student is different, and I strive to create a comfortable and supportive learning environment that encourages growth and development.
In addition to my formal education and tutoring experience, I am also a lifelong learner with a passion for mathematics. I am constantly seeking out new resources and methods to improve my own knowledge and skills, and I believe this passion and enthusiasm helps to inspire my students as well.
Overall, my hands-on experience and proficiency as a math tutor are grounded in a combination of formal education, practical experience, and a genuine love of mathematics. I am confident in my ability to help students achieve their goals and succeed in math, and I look forward to the opportunity to work with new students and continue to grow as an educator.
0.00
0 Reviews
10+ Question Solved
Related Book For
Calculus For Scientists And Engineers Early Transcendentals
ISBN: 9780321849212
1st Edition
Authors: William L Briggs, Bernard Gillett, Bill L Briggs, Lyle Cochran
Question Posted:
Students also viewed these Mathematics questions
-
Verify that the line integral and the surface integral of Stokes Theorem are equal for the following vector fields, surfaces S, and closed curves C. Assume that C has counterclockwise orientation and...
-
Verify that the line integral and the surface integral of Stokes Theorem are equal for the following vector fields, surfaces S, and closed curves C. Assume that C has counterclockwise orientation and...
-
Verify that the line integral and the surface integral of Stokes Theorem are equal for the following vector fields, surfaces S, and closed curves C. Assume that C has counterclockwise orientation and...
-
You are considering an investment that will be valued at $1,000 one year from now. Your next best alternative investment opportunity would yield an annual rate of return of 8%, In other words, if you...
-
How is the leverage ratio for an FI defined under Basel III?
-
Find the missing values for the following three firms. Show your computations. Firm 1 $1,000 1,100 500 Firm 2 Firm 3 Assets, beginning of period Assets, end of period Owners' equity, beginning of...
-
What is the significance of industry comparables in valuation?
-
1. How many minutes, on average, does it take for a first edition patron to get the requested book from time of entry into the library? (State all assumptions and show the calculations.) 2. How many...
-
What are the roots of the equation x^(2)-2x+2=0 in simplest a+bi form?
-
Give a parametric description for a cone with radius a and height h, including the intervals for the parameters.
-
Interpret the volume integral in the Divergence Theorem.
-
Use a change of variables to evaluate the following integrals. . 4 dx 9x2 + 6 + 1
-
Starting Right Corporation After watching a movie about a young woman who quit a successful corporate career to start a baby food company, Julia Day decided to do the same. In the movie, the baby...
-
Cost is a concept that we all learn about early in life. Have you had experiences in which misunderstandings about the nature of costs or their amounts have caused problems or do you have any...
-
Jones Pty Ltd has a GST turnover of less than $10,000,000. Assume a monthly return is lodged and tax invoices are issued at the time of sales and purchases. In July 2022, sales including GST were...
-
The cost accountant for a medium-sized business has been asked to propose a new system of responsibility accounting. Ownership is looking for a balanced scorecard to use in performance evaluation. As...
-
Suppose there are two goods. p >> 0. There are 2 consumers. Assume that each consumer i {1,2} has the following utility function: u(1,2) = In + In 2+ 3 (lnxj1 + Inx,2), for ji, where B, (-1,0]...
-
Rewrite these sentences to eliminate buzzwords and figures of speech. A. Also, through SCMC and by also gaining a membership in ISM, certification opportunities will be at your fingertips. B. The...
-
Decades after the event, Johnson & Johnson (J&J), the 130-year-old American multinational, is still praised for swiftly The company indicated that its response was based on the expectations set forth...
-
A golfer playing a new course encounters a hole that requires a drive of 145 yards to successfully clear a pond. She knows that her drives are normally distributed with a mean of 155 yards and a...
-
The daily withdrawals from an ATM located at a service station is normally distributed with a mean of $50,000 and a standard deviation of $8,000. The operator of the ATM puts $64,000 in cash at the...
-
In a survey of consumer finances, it was determined that the average household debt is $250,000. If household debt is normally distributed with a standard deviation of $30,000 determine the quintiles.
-
Words from languages that we are unfamiliar with can be difficult to pronounce correctly. Phonetic pronunciation guides can help make them more accessible to us. In this problem we'll complete one...
-
In java please Format of houses.csv: street,city,zip,state,beds,baths,sq__ft,type,sale_date,price,latitude,longitude 3526 HIGH ST,SACRAMENTO,95838,CA,2,1,836,Residential,Wed May 21 00:00:00 EDT...
-
Define a new function to be "h(x, a, b) = b sin(ax)", where a, b, and x are the inputs in your function. b) To confirm that you have defined your function correctly, plot your function leaving x as...
Study smarter with the SolutionInn App