Exam 13: Extension G: Vector Calculus

Use Stoke's theorem to evaluate C is the curve of intersection of the plane z = x + 9 and the cylinder

Use Stokes' Theorem to evaluate where and is the triangle with vertices is oriented counterclockwise as viewed from above.

Use Stokes' Theorem to evaluate is the part of the paraboloid that lies inside the cylinder oriented upword.

Use Stokes' Theorem to evaluate where is the circle is oriented counterclockwise as viewed from above.

Use Stokes' Theorem to evaluate where is the curve of intersection of the plane and the cylinder is oriented counterclockwise as viewed from above.