MVC
Quiz #5
NAME:
Instructions: SHOW ALL WORK !!
No Calculator allowed.
1.
2.
Let F ( x, y )   3x 2  y  2 xy  iˆ   x  x 2  3 y 2  ˆj
a)
Calculate the curl of F .
b)
By integrating, find a scalar function f so that F  f . Don’t forget your
“constants” of integration!
Determine whether x(t )  (sin(2t ), cos(2t ),3t  1) is a flow line for the vector field
F( x, y, z)   2 y, 2 x,3 . Explain work carefully.
MVC
3. Find the flow line for the vector field F ( x, y, z )  (3x, y 3 , 2) with x(0)  (5, 2, 2) .
MVC