Deck 13: Extension I: Vector Calculus

Question 1

Use a computer algebra system to compute the flux of F across S.S is the surface of the cube cut from the first octant by the planes

A) 4
B) 1
C) 3
D)
E) 0.67

Answer 1

Question 2

Assuming that S satisfies the conditions of the Divergence Theorem and the scalar functions and components of the vector fields have continuous second order partial derivatives,find , where a is the constant vector.

A) 7
B) 3
C) 6
D) 5
E) 8

Answer 2

3

Question 3

Use the Divergence Theorem to calculate the surface integral ; that is,calculate the flux of across S is the surface of the box bounded by the coordinate planes and the planes

A)
B)
C)
D)
E)

Answer 3