9. Let F = (0,-z, 1). Let S = {(x, y, z) | x² + y² + z² = 1, z ≥ }}. FdS using the Verify that F = curl A, where A = (0, x, xz) and evaluate 11.2. theorem of Stokes.

Q: 3. let F= Kxyz, xy, xfuz> where $ consists of the top 5, and the four Dides (mot the bottom) of the…

A: Given- Let F→ = xyz, xy, x2yz.  To find- Use Stokes's Theorem to evaluate ∬Scurl F→·dS where S…

Q: A particle moves along line segments from the origin to the points (2, 0, 0), (2, 3, 1), (0, 3, 1),…

A: Given that a particle moves along line segments from the origin to the points (2, 0, 0), (2, 3, 1),…

Q: 4. For the cylinder with patch X(u, v) = (R cos u, R sin u, v), (a) Find the normal vector U. (b)…

A: Given Data: Let us consider the given data, Xu,v=Rcosu,Rsinu,v. A non-zero vector that is…

Q: Find the electric flux PE across the part of the cylinder x² + y² = 9,0 ≤ z ≤ 2, in the direction of…

A: Given information:The electric field is given as .The surface is a part of the cylinder defined by…

Q: Use Stokes' Theorem to find the circulation of F = 4yi + 4zj+ 3xk around the triangle obtained by…

A: We have to find ∫CF→·dr→ using Stokes'sTheorem

Q: Let F = (y², x, z²)and S be the part of the paraboloid z = x² + y² with z < 1 and outward facing…

A:

Q: Use Stokes' Theorem to find the circulation of F = 4yi +7zj +3ck around the triangle C' obtained by…

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Q: F• dr where C is oriented counterclockwise as viewed from above. Jc Use Stokes' Theorem to evaluate…

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Q: State and illustrate Stokes' Theorem using the surface of the cone z= √√²+y³ and below the plan z =…

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Q: 5. Let S be the union of the three faces of the tetrahedron lying in the coordinate planes with…

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Q: Which of the following is the tangent plane to z = 2x² + y² at the point (1, 1, 3)? z = 4x + 2y z =…

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Q: Let F = < 4x + y², 5y + z, 9z + x So F. dī, Use Stokes' Theorem to evaluate C where C is the…

A:

Q: Let z = ƒ(x, y), x = g(s, t), and y = h(s, t). Explain how to find ∂z/∂t.

A: Solution:- The given question is  Let z = ƒ(x, y), x = g(s, t), and y = h(s, t). Explain how to find…

Q: ∠S and ∠Y congruent or supplementary

A: Given,           To find ∠S and ∠Y congruent or supplementary.

Q: Use Stokes' Theorem to find the circulation of F= 2yi +423 +3ack around the triangle obtained by…

A:

Q: Use Stokes' Theorem to find the circulation of F = 2yi + 3zj + 7xk around the triangle obtained by…

A: Here we have to solve the given problem using stokes' theorem.