Self Assessment Quiz

1. Find the directional derivative of the function   at the point (2,3) along the direction .

2. In the above problem, what is the directional directive along the direction  which is perpendicular to the direction ?

3. Sketch the g vector field in the region .

4. Find a normal to the surface  at the point (2,1,1)

5. Evaluate grad r where r is the distance from origin.

6. Find the tangent plane and a normal line to the surface  at the point (1,1,2)