Use Stokes' theorem to evaluatex =(V x F). ds where F(x, y, z) = -5yzi + 5xzj +7(x² + y²)zk and S is the part of the paraboloidx²+ y² that lies inside the cylinder x² + y² = 1, oriented upward.

Given :-and S is the part of the paraboloid that lies inside the cylinder oriented upward.Evaluate…

Use Stokes' theorem to evaluate te (▼ × F) - dS where F(x, y, z) = −5yzi + 5xzj + 7(x² + y²)zk and S is the part of the paraboloid z= x²+ y² that lies inside the cylinder a² + y² = 1, oriented upward.

Use Stokes' theorem to evaluate te (▼ × F) - dS where F(x, y, z) = −5yzi + 5xzj + 7(x² + y²)zk and S is the part of the paraboloid z= x²+ y² that lies inside the cylinder a² + y² = 1, oriented upward.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 33E

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Question

Use Stokes' theorem to evaluate
x =
(V x F). ds where F(x, y, z) = -5yzi + 5xzj +7(x² + y²)zk and S is the part of the paraboloid
x²+ y² that lies inside the cylinder x² + y² = 1, oriented upward.

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