For problems 1 4 determine the gradient of the given function.
1.
2.
3.
4.
For problems 5 8 determine for the given function in the indicated direction.
5. in the direction of
6. in the direction of
7. in the direction of
8. in the direction of
9. Determine for direction of .
10. Determine for direction of .
For problems 11 13 find the maximum rate of change of the function at the indicated point and the direction in which this maximum rate of change occurs.
11. at
12. at
13. at
14. Given , , , and determine the value of .
15. Given , , , and determine the value of .