h(x,y)=0.003*(x-2)^2+0.01*(y-4)^2.
coordinates are cartesian (x,y) and units kilometer. land area is 10km x 10km box. origo is in SW corner.

NE corner has spring that emits water. which direction water flows? result in polar angle, except use degrees and give result in 1 degree accuracy.

i think this can be solved with gradient:
grad 0.003*(x-2)^2+0.02*(y-4)^2 in wolfram alpha but what units is the result it gives?

Question

h(x,y)=0.003*(x-2)^2+0.01*(y-4)^2.
coordinates are cartesian (x,y) and units kilometer. land area is 10km x 10km box. origo is in SW corner.

NE corner has spring that emits water. which direction water flows? result in polar angle, except use degrees and give result in 1 degree accuracy.

i think this can be solved with gradient:
grad 0.003*(x-2)^2+0.02*(y-4)^2 in wolfram alpha but what units is the result it gives?