# Homework Help: How steep is this hill

1. Jul 23, 2010

### oddiseas

1. The problem statement, all variables and given/known data

The height of a certain hill is given by h(x,y)=10(3xy-4x^2-2y^2-11x+17y+9)

(a) How steep is the slope in the x and in the y direction (in meters per kilometer) at the point 1 km North and 1 km
East of Dandenong?
(b) In what direction is the slope the steepest at that point and how steep is the slope in that
direction?

2. Relevant equations

now for part a what does it mean when they ask how steep is the slope in the x and y direction?

are they asking for the co-ordinates? or the magnitude of each seperate component?
anyway this has me a bit confused.
3. The attempt at a solution

2. Jul 23, 2010

### AJ Bentley

Presumably, you are also told where Dandenong is in relation to the hill?

3. Jul 23, 2010

### oddiseas

The height of a certain hill is given by h(x,y)=10(3xy-4x^2-2y^2-11x+17y+9)
where y is the distance north of dandenong and x is the distance east of dandenong.

4. Jul 23, 2010