Sample Test 2

Mathematics A2

April, 2009

1. (4 points) Give the rank of the matrix

.

2. (8 points) Given the matrix, find .

3. (4 points) Find the directional derivative of the function

at the point P(1;2) int the direction of the vector .

4. (4 points) Find all local extrema (location and type of extrema) for the function

.