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Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F = 2yzi...
Help Entering Answers 1 point) Verify that Stokes' Theorem is true for the vector field F that li...
Help Entering Answers 1 point) Verify that Stokes' Theorem is true for the vector field F that lies above the plane z1, oriented upwards. 2yzi 3yj +xk and the surface S the part of the paraboloid z 5-x2-y To verify Stokes' Theorem we will compute the expression on each side. First computecurl F dS curl F0,3+2y,-2 Edy dx curl F dS- where x2 = curl F ds- Now compute F.dr The boundary curve C of the surface S can be...
Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F = 3yd-...
Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F = 3yd-2ǐ + 2xk and the surface S the part of the paraboloid z = 20-x2-y2 that lies above the plane z = 4, oriented upwards. To verify Stokes' Theorem we will compute the expression on each side. First computel curl F dS curl F- curl F. dS- EEdy di where curl F dS- Now compute F dr The boundary curve C of the...
Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F...
Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F = yzi - yj + xk and the surface S the part of the paraboloid z= 4 a2 ythat lies above the plane z = 3, oriented upwards. curl FdS To verify Stokes' Theorem we will compute the expression on each side. First compute S curl F = Σ <0,y-1,-z> curl F.dS Σ dy dπ (y-1)-2y)+z where 3 -sqrt(9-x^2) Σ 3 sqrt(9-x^2) curl F...
Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F -yi+ z...
Verify that Stokes' Theorem is true for the vector field
Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F -yi+ zj + xkand the surface S the hemisphere x2 + y2 + z2-25, y > 0oriented in the direction of the positive y- axis To verify Stokes' Theorem we will compute the expression on each side. First compute curl F dS curl F The surface S can be parametrized by S(s, t) -...
Verify Stokes, Theorem for the surface S that is the paraboloid given by z = 6-x2-y2 that lies ab...
Verify Stokes, Theorem for the surface S that is the paraboloid given by z = 6-x2-y2 that lies above the plane z 2 (oriented upward) and the vector field F(x, y, z)2yzi+yj+3xk.
Verify Stokes, Theorem for the surface S that is the paraboloid given by z = 6-x2-y2 that lies above the plane z 2 (oriented upward) and the vector field F(x, y, z)2yzi+yj+3xk.
5.3 Surface integral of vector fields 5.4 Stokes' Theorem C simple closed, positively oriented w....
please answer the following question so a beginner can
understand.
5.3 Surface integral of vector fields 5.4 Stokes' Theorem C simple closed, positively oriented w.r.t. S 5 5.5 Divergence Theorem S is outward oriented boundary of E, Example 8. Let D be the portion of z = 1-x2-y2 inside x2 + y2-1, oriented up. F-yi+zj-xk, compute JaF -ds.
5.3 Surface integral of vector fields 5.4 Stokes' Theorem C simple closed, positively oriented w.r.t. S 5 5.5 Divergence Theorem S is...
ie Use Stokes' Theorem to evaluate curl F. ds. F(x, y, z) = x2 sin(z)i +...
ie Use Stokes' Theorem to evaluate curl F. ds. F(x, y, z) = x2 sin(z)i + y2 + xyk, S is the part of the paraboloid z = upward. - x2 - y2 that lies above the xy-plane, oriented
Cal 3 questions. Please Help!! I will rate! 2. (4 points) Verify Stokes Theorem for F...
Cal
3 questions. Please Help!! I will rate!
2. (4 points) Verify Stokes Theorem for F =(-y.z,-2 ) and the surface S the cone 2 = r2 +with 0SS4 oriented downward (a) (3 points) fS curl F. dS 2.7 <Sinl), ,-2-cse),-le,0 dt (b) (3 points) fc F. dr
2. (4 points) Verify Stokes Theorem for F =(-y.z,-2 ) and the surface S the cone 2 = r2 +with 0SS4 oriented downward (a) (3 points) fS curl F. dS 2.7
1 Help Entering Answers 1 point) Use Stokes' Theorem to evaluateF.dr where F(x,y,z) 6yzi 3xzj +3e...
1 Help Entering Answers 1 point) Use Stokes' Theorem to evaluateF.dr where F(x,y,z) 6yzi 3xzj +3e k and C is the circy4,z 5 oriented counterclockwise as viewed from above Since the circle is oriented counterclockwise as viewed from above the surface we attach to the circle is oriented upwards The easiest surface to attach to this curve is the disk x2 + y2 < 4, z-5. Using this surface in Stokes' Theorem evaluate the following. F-dr = where sqrt(4-xA2) sqrt(4-x^2)...
Help Entering Answers (1 point) Use Stokes' Theorem to evaluate ll curl F. dS where F(x,...
Help Entering Answers (1 point) Use Stokes' Theorem to evaluate ll curl F. dS where F(x, y, z) = xyzi + 3xyj + 2x2yzk and S consists of the top and the four sides (but not the bottom) of the cube with vertices (+2, +2, +2), oriented outward. Since the box is oriented outwards the boundary curve must be transversed when viewed from the top. A parametrization for the boundary curve C seen below from above can be given by:...
Help Entering Answers 1 point) Verify that Stokes' Theorem is true for the vector field F that lies above the plane z1, oriented upwards. 2yzi 3yj +xk and the surface S the part of the paraboloid z 5-x2-y To verify Stokes' Theorem we will compute the expression on each side. First computecurl F dS curl F0,3+2y,-2 Edy dx curl F dS- where x2 = curl F ds- Now compute F.dr The boundary curve C of the surface S can be...
Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F = 3yd-2ǐ + 2xk and the surface S the part of the paraboloid z = 20-x2-y2 that lies above the plane z = 4, oriented upwards. To verify Stokes' Theorem we will compute the expression on each side. First computel curl F dS curl F- curl F. dS- EEdy di where curl F dS- Now compute F dr The boundary curve C of the...
Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F = yzi - yj + xk and the surface S the part of the paraboloid z= 4 a2 ythat lies above the plane z = 3, oriented upwards. curl FdS To verify Stokes' Theorem we will compute the expression on each side. First compute S curl F = Σ <0,y-1,-z> curl F.dS Σ dy dπ (y-1)-2y)+z where 3 -sqrt(9-x^2) Σ 3 sqrt(9-x^2) curl F...
Verify that Stokes' Theorem is true for the vector field
Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F -yi+ zj + xkand the surface S the hemisphere x2 + y2 + z2-25, y > 0oriented in the direction of the positive y- axis To verify Stokes' Theorem we will compute the expression on each side. First compute curl F dS curl F The surface S can be parametrized by S(s, t) -...
Verify Stokes, Theorem for the surface S that is the paraboloid given by z = 6-x2-y2 that lies above the plane z 2 (oriented upward) and the vector field F(x, y, z)2yzi+yj+3xk.
Verify Stokes, Theorem for the surface S that is the paraboloid given by z = 6-x2-y2 that lies above the plane z 2 (oriented upward) and the vector field F(x, y, z)2yzi+yj+3xk.
please answer the following question so a beginner can
understand.
5.3 Surface integral of vector fields 5.4 Stokes' Theorem C simple closed, positively oriented w.r.t. S 5 5.5 Divergence Theorem S is outward oriented boundary of E, Example 8. Let D be the portion of z = 1-x2-y2 inside x2 + y2-1, oriented up. F-yi+zj-xk, compute JaF -ds.
5.3 Surface integral of vector fields 5.4 Stokes' Theorem C simple closed, positively oriented w.r.t. S 5 5.5 Divergence Theorem S is...
ie Use Stokes' Theorem to evaluate curl F. ds. F(x, y, z) = x2 sin(z)i + y2 + xyk, S is the part of the paraboloid z = upward. - x2 - y2 that lies above the xy-plane, oriented
Cal
3 questions. Please Help!! I will rate!
2. (4 points) Verify Stokes Theorem for F =(-y.z,-2 ) and the surface S the cone 2 = r2 +with 0SS4 oriented downward (a) (3 points) fS curl F. dS 2.7 <Sinl), ,-2-cse),-le,0 dt (b) (3 points) fc F. dr
2. (4 points) Verify Stokes Theorem for F =(-y.z,-2 ) and the surface S the cone 2 = r2 +with 0SS4 oriented downward (a) (3 points) fS curl F. dS 2.7
1 Help Entering Answers 1 point) Use Stokes' Theorem to evaluateF.dr where F(x,y,z) 6yzi 3xzj +3e k and C is the circy4,z 5 oriented counterclockwise as viewed from above Since the circle is oriented counterclockwise as viewed from above the surface we attach to the circle is oriented upwards The easiest surface to attach to this curve is the disk x2 + y2 < 4, z-5. Using this surface in Stokes' Theorem evaluate the following. F-dr = where sqrt(4-xA2) sqrt(4-x^2)...
Help Entering Answers (1 point) Use Stokes' Theorem to evaluate ll curl F. dS where F(x, y, z) = xyzi + 3xyj + 2x2yzk and S consists of the top and the four sides (but not the bottom) of the cube with vertices (+2, +2, +2), oriented outward. Since the box is oriented outwards the boundary curve must be transversed when viewed from the top. A parametrization for the boundary curve C seen below from above can be given by:...
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