Concept explainers
Stokes’ Theorem for evaluating line
13. F = 〈x2 – z2, y, 2xz〉; C is the boundary of the plane z = 4 – x – y in the first octant.
Learn your wayIncludes step-by-step video
Chapter 14 Solutions
Calculus: Early Transcendentals (2nd Edition)
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus (10th Edition)
Calculus and Its Applications (11th Edition)
Glencoe Math Accelerated, Student Edition
- Stokes' Theorem (1.50) Given F = x²yi – yj. Find (a) V x F (b) Ss F- da over a rectangle bounded by the lines x = 0, x = b, y = 0, and y = c. (c) fc ▼ x F. dr around the rectangle of part (b).arrow_forwardUse Stokes' Theorem to evaluate Use Stokes' Theorem to evaluate ∫C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = yzi + 3xzj + exyk, C is the circle x2 + y2 = 4, z = 6.arrow_forward5. Use Stokes' Theorem (and only Stokes' Theorem) to evaluate F dr, where F(r, y, z) be clear, if you want to evaluate this and use Stokes' Theorem then you must be calculating the surface integral of the curl of F of a certain surface S.) (3y,-2x, 3y) and C is the curve given by a +y? = 9, z = 2. (So to %3Darrow_forward
- Set-up the integral being asked in the problem. No need to evaluate. Show all solutions.arrow_forward(5) , Use Stokes' Theorem to find the line integral / (x + 2y*)ï+ (y + z²)j+(z+ 2r*)k) • dï - 2r*)E) · dr where C is the boundary of the triangle T with vertices (1,0, 0), (0, 1, 0), (0, 0, 1) and oriented counter-clockwise when viewed from above.arrow_forwardPlease help show all stepsarrow_forward
- Verify Stokes' theorem for the function D = (ax over the first and second quadrant of a circular region bounded by a radius of 2 in the z = 0 plane. Verify Stokes' theorem over a hemispherical surface at r = 3 andarrow_forwardWhat is a unit normal to the surface x?y + 2xz = 4 at the point (2, –2, 3) O+3+歌arrow_forwardi+z i and w = transform w<1 into the lower half Show that both the transforms w = i- z plane Im( z) <0.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning