Calculus IV (Easier) Practice Quiz 4 Fall 1998 11/4/98

 

1. Compute for a path beginning at (3,0) and ending at (0,-3).
 

2. Compute for a path C given by r = <2+3t, 1-5t> for t between 0 and 1.
 

3. Compute where C is the rectangle having vertices (0,0), (2,0), (2,3), and (0,3) by applying Green's Theorem.
 



 

Calculus IV (Harder) Practice Quiz 4 Fall 1998 11/4/98

1. Compute for a sinusoidal path C beginning at (3,0) and ending at (0,-3), and performing 17 complete oscilations on this interval.
 

2. Compute for a path C which is an arc of a circle (centered at the origin) of radius 3 passing counterclockwise through the first and second quadrants.

 
3. Compute where C is the quadrilateral having vertices (0,0), (2,0), (2,5) and (0,3) by applying Green's Theorem.