Calculus IV Quiz 3 Fall 1998 10/30/98

 
1. Give parametric equations x(t), y(t), z(t), and bounds for t that produce a path from (3,0,-2) to (1,7,3).
 
 
 
2. Give parametric equations x(t), y(t), and bounds for t that produce an arc of a circle of radius 5 (centered at the origin) beginning at (5,0) and proceeding counterclockwise to the point (-5,0).
 
 
 
3. Plot the vector field F(x,y) = xi - j for the points (0,0), (2,0), (0,2), and (-1,-2).