Concept explainers
Stokes’ Theorem for line
58.
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Chapter 17 Solutions
EP CALCULUS:EARLY TRANS.-MYLABMATH 18 W
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (3rd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus and Its Applications (11th Edition)
Precalculus
Calculus & Its Applications (14th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
- F dr by parameterizing C. Let F= (x,y) and C be the triangle with vertices (0, +5) and (2,0) oriented counterclockwise. Evaluate Use a parametric description of C and set up the integral. 1. E• dr=arrow_forward(b) Evaluate the line integral Jo dzalong the simple closed contour C shown in the diagram. -2 -1 2j o 1 2arrow_forwardUse Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise. $c (5x + sinh y)dy − (3y² + arctan x²) dx, where C is the boundary of the square with vertices (1, 3), (4, 3), (4, 6), and (1, 6). $c (Type an exact answer.) - (3y² + arctan x² (5x + sinh y)dy – nx²) dx dx = (arrow_forward
- Use Stoke’s Theorem to calculate the line integral ∮C(z−y)dx +(x−z)dy +(y−x)dz. The curve C is the triangle with the vertices A(2,0,0), B(0,2,0), D(0,0,2) (Figure 3).arrow_forwardFind a parametrization of the surface z = 3x² + 8xy and use it to find the tangent plane at x = 1, y = 0, z = 3. (Use symbolic notation and fractions where needed.) z =arrow_forwardUse Green's Theorem to evaluate the line integral. Orient the curve counterclockwise. e5x + 2y dx + e-4y dy, where C is the triangle with vertices (0, 0), (1, 0), (1, 1).arrow_forward
- Evaluate the surface integral. (x + y + z) dS, S is the parallelogram with parametric equations x = u + v, y = u - v, z = 1 + 2u + v, 0 sus4, 0svs 2. Need Help? Watch Itarrow_forwardUse Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise. dy, where Cis the triangle with vertices (0, 0), (6, 0), and (0, 12) 3+ y ху 3 In(3 + y) dx ху 3 In(3 + y) dx – 3+ y dy = iarrow_forwardCalculate the curl(F) and then apply Stokes' Theorem to compute the flux of curl(F) through the surface of part of the cone √x² + y2 that lies between the two planes z = 1 and z = 8 with an upward-pointing unit normal, vector using a line integral. F = (yz, -xz, z³) (Use symbolic notation and fractions where needed.) curl(F) = flux of curl(F) = [arrow_forward
- Uv Use the change of variable x = and y in order to v+ 4 v + 4 compute the integral 4.x + y dA. D is the quadrilateral formed by the lines with equations 4.x+y = 5, 4x+y = 6, y = x and and y = 2x.arrow_forwardUse Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise. $c a15x+ 5x+ In 5y)dy - (8y² + arctan x2) dx, where C is the boundary of the square with vertices (0, 5), (2, 5), (2, 7), and (0,7), C $c (5x + In 5y)dy – (8y? + arctanx?) dx = | | C (Type an exact answer.)arrow_forwardUsing Stokes’ Theorem to evaluate a line integral Evaluate the lineintegral ∮C F ⋅ dr, where F = z i - z j + (x2 - y2) k and C consists of the three line segments that bound the plane z = 8 - 4x - 2y in the first octant, oriented as shown.arrow_forward
- 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
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)