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(1 point) Use Stokes' Theorem to find the circulation of F = 7yi + 3zj +...
webwork 19sp392 s 13.8/6 13.8: Problem 6 Previous Problem List Next (1 point) Use Stokes' Theorem to find the circulation of F 5yi + 5zj+ 3ak around the triangle obtained by tracing out the pa...
webwork 19sp392 s 13.8/6 13.8: Problem 6 Previous Problem List Next (1 point) Use Stokes' Theorem to find the circulation of F 5yi + 5zj+ 3ak around the triangle obtained by tracing out the path (3, 0, 0) to (3, 0, 2), to (3, 6, 2) back to (3, 0,0) Circulation = Submit Answers Preview My Answers You have attempted this problem 1 time Your overall recorded score is 0% You have unlimited attempts remaining Email instructor
webwork 19sp392 s...
Use Stokes' Theorem to calculate the circulation of the field F around the curve C in...
Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction. 11) F-3yi + yj + zk: C: the counterclockwise path around the boundary of the = 1
Use Stokes' theorem to find the circulation of the vector field F around any smooth, simple closed curve C, where: (Sy 7sin() 5) Use Stokes' theorem to find the circulation of the vector...
Use Stokes' theorem to find the circulation of the vector field F around any smooth, simple closed curve C, where: (Sy 7sin() 5)
Use Stokes' theorem to find the circulation of the vector field F around any smooth, simple closed curve C, where: (Sy 7sin() 5)
Please explain (1 pt) Use Stokes' Theorem to find the circulation of F = (xy, yz, xz) around the boundary of the sur...
Please explain
(1 pt) Use Stokes' Theorem to find the circulation of F = (xy, yz, xz) around the boundary of the surface S given by z 0 x 4 and -2 < y < 2, oriented upward. Sketch both S and its boundary C 16 - x2 for Fdr = Circulation =
(1 pt) Use Stokes' Theorem to find the circulation of F = (xy, yz, xz) around the boundary of the surface S given by z 0 x...
14. (10 pts) Use Stokes' Theorem to compute F dr where F , y,) 32,5x, -2yand the curve C is given by the triangle with vertices (0,2,0), (3,0,0), and (0,0, 1) with positive orientation 14...
14. (10 pts) Use Stokes' Theorem to compute F dr where F , y,) 32,5x, -2yand the curve C is given by the triangle with vertices (0,2,0), (3,0,0), and (0,0, 1) with positive orientation
14. (10 pts) Use Stokes' Theorem to compute F dr where F , y,) 32,5x, -2yand the curve C is given by the triangle with vertices (0,2,0), (3,0,0), and (0,0, 1) with positive orientation
4. (18 points) Verify Stokes' Theorem in finding the counterclockwise circulation of the vector f...
4. (18 points) Verify Stokes' Theorem in finding the counterclockwise circulation of the vector field, F - (r-i + (42)j + (r) k around the curve, C, where C is the triangular path determined by the points (6,0,0),(0,-4,0),and (0,0,10) . (i.e. calculate the circulation % F.iF directly, and then by using Stokes' Theorem and doing a surface integral.) Which way was easier? (Hint: You will need to find the equation of the plane that goes through these three points.)
4....
Use Stokes' Theorem to calculate the circulation of the field F around the curve C in...
Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction 27) F 3xi2xj + 7zk; C: the cap cut from the upper hemisphere x2 + y2 + z2 = 16 (z z 0) by the cylinder x2+ y2 =4 27)
Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction 27) F 3xi2xj + 7zk; C: the cap cut from the upper...
Use Stokes' Theorem to make the following circulation calculations.
Suppose \(\vec{F}=(5 x-3 y) \vec{i}+(x+4 y) \vec{j}\). Use Stokes' Theorem to make the following circulation calculations.(a) Find the circulation of \(\vec{F}\) around the circle \(C\) of radius 10 centered at the origin in the xy-plane, oriented clockwise as viewed from the positive z-axis. Circulation \(=\int_{C} \vec{F} \cdot d \vec{r}=\)(b) Find the circulation of \(\vec{F}\) around the circle \(C\) of radius 10 centered at the origin in the yz-plane, oriented clockwise as viewed from the positive \(x\)-axis. Circulation \(=\int_{C} \vec{F} \cdot...
3 Problem 3 Use Stokes' Theorem to find the circulation of F(x, y, z) = 6yi...
3 Problem 3 Use Stokes' Theorem to find the circulation of F(x, y, z) = 6yi + 4xj + z?k counter- clockwise around the ellipse 4.x2 + 25y2 = 1. Hint: I am allowing you to take for granted that the area inside this ellipse is to so put that to use in turning this problem into a double integral of the k-component of the curl over the region inside the ellipse.
(2 pts) Calculate the circulation, rF dr, in two ways, directly and using Stokes' Theorem. The vector field F (...
(2 pts) Calculate the circulation, rF dr, in two ways, directly and using Stokes' Theorem. The vector field F (8x-8y+62)(i + j) and C is the triangle with vertices (0,0,0), (8, 0, 0), (8,2,0), traversed in that order. Calculating directly, we break C into three paths. For each, give a parameterization r (t) that traverses the path from start to end for 0sts 1 On Ci from (0,0, 0) to (8,0,0), r(t) = <8t,0,0> On C2 from (8, 0, 0)...
webwork 19sp392 s 13.8/6 13.8: Problem 6 Previous Problem List Next (1 point) Use Stokes' Theorem to find the circulation of F 5yi + 5zj+ 3ak around the triangle obtained by tracing out the path (3, 0, 0) to (3, 0, 2), to (3, 6, 2) back to (3, 0,0) Circulation = Submit Answers Preview My Answers You have attempted this problem 1 time Your overall recorded score is 0% You have unlimited attempts remaining Email instructor
webwork 19sp392 s...
Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction. 11) F-3yi + yj + zk: C: the counterclockwise path around the boundary of the = 1
Use Stokes' theorem to find the circulation of the vector field F around any smooth, simple closed curve C, where: (Sy 7sin() 5)
Use Stokes' theorem to find the circulation of the vector field F around any smooth, simple closed curve C, where: (Sy 7sin() 5)
Please explain
(1 pt) Use Stokes' Theorem to find the circulation of F = (xy, yz, xz) around the boundary of the surface S given by z 0 x 4 and -2 < y < 2, oriented upward. Sketch both S and its boundary C 16 - x2 for Fdr = Circulation =
(1 pt) Use Stokes' Theorem to find the circulation of F = (xy, yz, xz) around the boundary of the surface S given by z 0 x...
14. (10 pts) Use Stokes' Theorem to compute F dr where F , y,) 32,5x, -2yand the curve C is given by the triangle with vertices (0,2,0), (3,0,0), and (0,0, 1) with positive orientation
14. (10 pts) Use Stokes' Theorem to compute F dr where F , y,) 32,5x, -2yand the curve C is given by the triangle with vertices (0,2,0), (3,0,0), and (0,0, 1) with positive orientation
4. (18 points) Verify Stokes' Theorem in finding the counterclockwise circulation of the vector field, F - (r-i + (42)j + (r) k around the curve, C, where C is the triangular path determined by the points (6,0,0),(0,-4,0),and (0,0,10) . (i.e. calculate the circulation % F.iF directly, and then by using Stokes' Theorem and doing a surface integral.) Which way was easier? (Hint: You will need to find the equation of the plane that goes through these three points.)
4....
Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction 27) F 3xi2xj + 7zk; C: the cap cut from the upper hemisphere x2 + y2 + z2 = 16 (z z 0) by the cylinder x2+ y2 =4 27)
Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction 27) F 3xi2xj + 7zk; C: the cap cut from the upper...
3 Problem 3 Use Stokes' Theorem to find the circulation of F(x, y, z) = 6yi + 4xj + z?k counter- clockwise around the ellipse 4.x2 + 25y2 = 1. Hint: I am allowing you to take for granted that the area inside this ellipse is to so put that to use in turning this problem into a double integral of the k-component of the curl over the region inside the ellipse.
(2 pts) Calculate the circulation, rF dr, in two ways, directly and using Stokes' Theorem. The vector field F (8x-8y+62)(i + j) and C is the triangle with vertices (0,0,0), (8, 0, 0), (8,2,0), traversed in that order. Calculating directly, we break C into three paths. For each, give a parameterization r (t) that traverses the path from start to end for 0sts 1 On Ci from (0,0, 0) to (8,0,0), r(t) = <8t,0,0> On C2 from (8, 0, 0)...
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