Calculate the Flow in the Field F Along the Path

Multiple Choice

Calculate the flow in the field F along the path C.
- $$\mathrm { F } = \nabla \left( x \mathrm { y } ^ { 2 } \mathrm { z } ^ { 3 } \right) ; \mathrm { C } \text { is the line segment from } ( 6,1,1 ) \text { to } ( 7,1 , - 1 )$$

A) 23
B) -13
C) 14
D) -8