Calculus IV (Easier) Practice Quiz 3 Fall 1998 10/29/98

1. Give parametric equations x(t), y(t), and bounds for t that produce a path from (3,0) to (5,7).
 

 

2. Give parametric equations x(t), y(t), and bounds for t that produce a unit circle (centered at the origin) beginning at (1,0).
 
 
 

3. Plot the vector field F(x,y) = i + j for the points (0,0), (2,0), (0,2), and (-3,-2).

 

 

 

Calculus IV (Harder) Practice Quiz 3 Fall 1998 10/29/98

 
1. Give parametric equations x(t), y(t), z(t), and bounds for t that produce a path from (-2,7, 1)) to (a,b,c).

 
 

2. Give parametric equations x(t), y(t), and bounds for t that produce an arc of a circle (centered at the origin) of radius a beginning at (0,a) and continuing counterclockwise through n quadrants.
 

 

3. Plot the vector field F(x,y) = yi - xj for one point on each of the positive and negative x and y axes, and for one point in each of the four quadrants.