Deck 13: Extension G: Vector Calculus

Question 1

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

A)
B)
C)
D)
E)

Answer 1

Question 2

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

Answer 2

Question 3

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

A)
B)
C)
D)
E)

Answer 3

Question 4

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

A)
B)
C)
D)
E)

Question 5

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

A) 2
B)
C) 4
D) 3
E) 1