Verify that Stokes Theorem is true for the given vector field F and surface S. F(x, y,
Question:
Verify that Stokes’ Theorem is true for the given vector field F and surface S.
F(x, y, z) = y i + z j + x k, S is the hemisphere x2 + y2 + z2 = 1, y > 0, oriented in the direction of the positive y-axis
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 62% (8 reviews)
The boundary curve C is the circle x 1 y 0 oriented in t...View the full answer
Answered By
Munir Ahmed Jakhro
I am professional Tutor of of Business Courses, I did my four years Bachelor Degree from one of the Top Business schools of World "Institute of Business Administration" in year 2013. Since then I have been working as Tutor of Accounting, Finance tutor on different online platforms like this website. I am have experience of 6 years teaching business courses to students online and offline my professional job at national savings also helped me in accounting understanding .
4.90+
8+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Verify that Stokes Theorem is true for the vector field F(x, y, z) = x 2 i + y 2 j + z 2 k, where S is the part of the paraboloid z = 1 - x 2 - y 2 that lies above the xy-plane and S has upward...
-
Verify that Greens Theorem is true for the line integral C xy 2 dx - x 2 y dy, where C consists of the parabola y = x 2 from (-1, 1) to (1, 1) and the line segment from (1, 1) to (-1, 1).
-
The figure shows a vector field F and two curves C 1 and C 2 . Are the line integrals of F over C 1 and C 2 positive, negative, or zero? Explain. C2}
-
The fieldwork for the 30 June 20X0 audit of Tracy Brewing Company Ltd was finished on 19 August 20X0 and the completed financial statements, accompanied by the signed audit reports, were mailed on 6...
-
The enzymatic introduction of a functional group into a biologically important molecule is not only specific with regard to the location at which the reaction occurs in the molecule (see Chapter 4,...
-
If f(x) is an increasing g(x) and is a decreasing function, show that E[f(X)g(X) E[f(X)]E[(g(X)].
-
The following scenarios describe situations faced by hypothetical companies that currently have a centralized organization structure. As you review each of the scenarios, provide your opinion as to...
-
Fernandez Corporation purchased a truck at the beginning of 2010 for $50,000. The truck is estimated to have a salvage value of $2,000 and a useful life of 160,000 miles. It was driven 23,000 miles...
-
Consider the HMM where the underlying Markov chain is given by the state transition diagram below. The observations are such that the true state is observed 50% of the time and each other state is...
-
The phase diagram of sulfur is shown here. (a) How many triple points are there? (b) Monoclinic and rhombic are two allotropes of sulfur. Which is more stable under atmospheric conditions? (c)...
-
Verify that Stokes Theorem is true for the given vector field F and surface S. F(x, y, z) = -2yz i + y j + 3x k, S is the part of the paraboloid z = 5 - x 2 - y 2 that lies above the plane z = 1,...
-
Let C be a simple closed smooth curve that lies in the plane x + y + z = 1. Show that the line integral C z dx - 2x dy + 3ydz depends only on the area of the region enclosed by C and not on the...
-
What are the benefits of financial deepening?
-
Pager Corporation began 2021 with retained earnings of $220 million. Revenues during the year were $500 million, and expenses totaled $370 million. Pager declared dividends of $58 million. What was...
-
d 37 out of Time left 0:09:00 Who introduced the Relational Model, and what is its primary organizational structure? O a. Dr. E.F. Codd; Tabular structure O b. Bill Gates; Tree-like structure OC....
-
Question 11 Not yet answered Work in Process (Beginning) Started into Production Total The blending department in Golden Wheat Company. The company uses FIFO costing and have the following in...
-
Two silica particles, one 1 0 micron and the other 5 0 micron diameter, detach from a ceiling panel at the same time and fall toward the floor in still air. ( a ) What are the terminal velocities...
-
When electrons move through a metal conductor: 1. they move in straight line through the conductor. 2. they move in zigzag patterns because of repeated collisions with the vibrating metal atoms. 3....
-
There is considerable disagreement as to whether government regulation has largely positive or negative influences on economic growth. Compare and contrast the ways in which government involvement in...
-
Define the term utility software and give two examples.
-
Prove the formula for (d/dx) (cos-1x) by the same method as for (d/dx) (sin-1x).
-
Two curves are orthogonal if their tangent lines are perpendicular at each point of intersection. Show that the given families of curves are orthogonal trajectories of each other; that is, every...
-
Show that the ellipse x2/a2 + y2/b2 = 1 and the hyperbola x2 / A2 - y2/B2 = 1 are orthogonal trajectories if A2 < a2 and a2 - b2 = A2 + B2 (so the ellipse and hyperbola have the same foci).
-
Sheridan Express is a coffee bean roaster who specializes in dark roasting beans grown in California. During the month, Sheridan added the following costs: Conversion Costs (CC), $5450; and Direct...
-
Bernard Auto has shareholders equity of $121,400. The firm owes a total of $132,000 of which 40% is payable within the next year. The firm has net fixed assets of $151,620. what is the amount of the...
-
Jessica spent $700 on an online training course to learn how to invest in municipal bonds which generate tax-exempt income. She used $50,000 to purchase the bonds and received interest of $4,000 in...
Study smarter with the SolutionInn App